form form (basis of approximating space)
norm norm (criteria of approximation, figure of merit, nonstandard data)
var variable (coordinate transform, mesh generation)
diag diagnostics
tools tools from other fields
omit omitted topics
geometry geometry of the domain or graph
data nonstandard data
crease discontinuities (jump, crease, edges)
expdesign experimental design
coord coordinate transformation
selection selection of regression variables
vparam choice of parameterization variable
iso isoparametric finite elements
mesh mesh generation, refinement
file-format file format
simplemesh simple spline mesh utilities
optinterp ``optimal'' spline interpolation (particular choice of knots)
segment segmented piecewise linear approximation
stopping stopping criteria for grid points
triang triangulation, given scattered points
adaptive adaptive grids
meshgen multivariate mesh generation
b78s de Boor 78 INTERV, L2KNTS
dasl DASL/B1KE, B1KPE
port Schryer PORT/UMB, LUMB, PUMB, IMMM, MNPB
imsl imsl/bsnak not-a-knot condition
stop/plateau plateau in $||r||$
stop/autocorr $\mathop{\rm autocorr}(r)\le{1 / \sqrt{2(N-1)}}$
GCV cross-validation
stop/ML maximum likelihood
b78s de Boor 78 Practical Guide, page 266
p70smoo Powell 70
g87gcv Girard 87 estimate trace using residual for random normal data
dg91gcv Deshpande Girard 91 robust and Poisson norm
GCV1 univariate
GCV2 bivariate
w75cv Wahba 75 spline smoothing
o85cv O'Sullivan 85 O(n) GCV smoothing spline
h86cv deHoog Hutchinson 86 O(n) GCV smoothing spline
w86cv Woltring 86 GCV smoothing spline
hh87orth deHoog Hutchinson 87 replaces Cholesky by orthogonal linear algebra
ka87smoo Kohn Ansley 87 filtering
su88gcv Schumaker Utreras 88 complete spline (endpoint deriv data)
blwy86 Bates Lindstrom Wahba Yandell 86 gcvpack
y87block Yandell 87 e.g. disconnected regions but single smoothing parameter
b83ml Brannigan 83 Approx Thy IV
bf85sph Baumgardner Frederickson 85 uniform triangulation on sphere
voronoi Delaunay-Thiessen (dual to Voronoi polygons); max-min angle
other-tri other (data-independent) triangulation criteria
data-tri data dependent triangulation
searchtri searching general triangulation for given point
nonconvex-tri dealing with nonconvex domains
minmaxtri min-max angle
w92minmax Waupotitsch 92 Tan edge insertion
dlr90tri Dynb Levin Rippa 90 allow thin triangles near steep fronts
qs91tri Quak Schumaker 91 diagonal flip starting from uniform grid
s93tri Schumaker 93 simulated annealing on l2 error; local swaps does about as well
obs92voronoi Okabe Boots Sugihara 92 monograph on Voronoi, Delaunay
voronoi2d bivariate
voronoi3d three and more
l77c1 Lawson 77 swap diagonal in quadrilaterals to max the min angle
a78toms Akima 78 bivariate interpolation
cr84tri Cline Renka 84 adjacency list
bl84 Barnhill Little 84 min the max angle
f86sweep Fortune 86 sweep in transformed space
f91triang Fortune 91 survey
etw92tri Edelsbrunner Tan Waupotitsch 92 max angle
b81vor Bowyer 81
w81cont Watson 81
j89del Joe 89
l77c1 Lawson 77 step to neighbor triangle in right direction
s87tri Schumaker 87 lexicographic sorting; may need N^2 space
pt88tri Preparata Tamassia 88
sp92solidsolid Sapidis Perucchio 92 deciding if cells are in or out
refine refinement
unrefinement unrefinement
freeknot free knots
freeknot0 free knots for piecewise constant
freeknot2 free grid in more than one variable
jitter nonuniform sampling to ameliorate aliasing
quasirandom quasirandom (more uniform than true random would be)
adlm90rem Arge Daehlen Lyche Morken 90 Constrained Knot Removal
hddhjmss94 Hoppe et al 94 linear patches to control points and creases
m87nonunif Mitchell 87 Poisson disk; adaptive sampling; multistage averaging
s84go Schagen 84 tradeoff between sampling entire space and resolving minima
f86quasi Fox 86 Faure, Halton, Sobol sequences (evenly distributed over square)
cutbig refine intervals with large residual
cuttri refine triangle
cutcrit refine using critical features
segment segmented piecewise linear approximation
kd k-d tree
hier hierarchical rectangular grid
subdiv recursive subdivision
d87fit Dierckx 87 curfit, smoot
cj87l1 Cox Jones 87 drop redundant knots
af88refine Adjerid Flaherty 88
m89refine Mitchell 89 comparison of linear triangle refinements
hg95scape Heckbert Garland 95 greedy insertion
scds91tri Schmitt Chen Du Sair 91 Gregory-Bezier triangle
sp90tri Scarlatos Pavlidis 90 put triangle edges along ridgelines
h66seg Hudson 66
ph74seg Pavlidis Horowitz 74 split-and-merge piecewise linear
w76seg Wilson 76 greedy-algorithm piecewise linear
p77polyg Pavlidis 77 Newton's method starting from split-and-merge
wd84polyg Wall Danielsson 84 fast merging
dt90curv Dudek Tsotsos 90 look for jumps in curvature
mw92arc Meek Walton 92 circular arc
h93polyg Hobby 93 boxes around given vertices
h96polyg Hobby 96 fast good visible vertices
r78adapt Rice 78 ADAPT (assumes f, f' available)
br79mult de Boor Rice 79 multivariate with optimal convergence
d80refin Dahmen 80 multivariate splines
bsw83datastr Bank Sherman Weiser 83 data structures for refinement
hierbasis hierarchical basis
quadtree quadtree, octree
rectcover rectangular covering
wavelet wavelet, quadrature mirror filter
y85hier Yserentant 85 include both "broad" and "narrow" elements in basis
a92hier Anderson 92 combining local approximations, then distributing effects
gm84wavelet Grossman Morlet 84 wavelet, also known as multiresolution
bcr89wavelet Beylkin Coifman Rokhlin 89
v90wavelet Vavasis 90 piecewise constant on refined triangles
m91wave Micchelli 91 prewavelet
c92wave Chui 92
ys83quadtree Yerry Shephard 83 quadtree, boundary adjustment, smoothing
b86rot Berger 86 clustering; rotated rectangles
g87mov Gropp 87 moving hierarchical grids
br90clust Berger Riugoutsos 90 covering by oriented rectangles
f79cart Friedman 79 piecewise constant on k-d tree
r85kd Rosenberg 85 comparison of quad and kd trees
cdg88 Cleveland Devlin Grosse 88 loess k-d trees, blending
g89loess Grosse 89 further details
f88mars Friedman 89 MARS (extreme) subsample of tensor product spline basis
e88strat Eubank 88 tridiagonal Newton, asymptotic, statistical applications
br68free de Boor Rice 68 optimize one knot at a time
p70smoo Powell 70
j78free Jupp 78 nonlinear l2 after log transform
bs79free Barrow Smith 79
nss86seg Nurnberger Sommer Strauss 86 allows jumps at knots
n86free Nurnberger 86 pp-segment; fix knots and use Remez
newnot de Boor newnot
free-ode methods applied to differential equations
d91free D'Azevedo 91 adaptive triangles for simple geometry and functions
b74newnot de Boor 74 newnot
s86ssaf Schryer 86 driver for newnot
imsl imsl/bsvls newnot driver for least squares data fitting
p89newnot Pryce 89 newnot iteration
ps75pasva Pereyra Sewell 75
w79free White 79 coordinate transformation
kn80mesh Kautsky Nichols 80 bounding local mesh ratio
cd85mesh Carey Dinh 85 coordinate transformation
amr88bvp Ascher Mattheij Russell 88 survey in chapter 9
b78s de Boor 78 SPLOPT
imsl imsl/bsopk
g78range Gaffney 78 given bound on high deriv, what possible function?
t90range Thakur 90 specialized to second derivative bound
mw81des Micchelli Wahba 81
b83leb Bos 83
chebpt sample at Chebyshev points $\cos{j\pi\over n}$
fr88fejer Fischer Reichel 88 updatable, approximately Fejer distributions
statdesign optimal statistical design
blendpt blending
hr87sub Hoffman Reddy 87 subset of uniform points near Chebyshev set
bd87design Box Draper 87 bias v. variance, checking fit, factorial designs
f90design Faraway 90 local
$f''^{2/9}$hs91design Hardin Sloane 91 pattern search
g69lattice Gordon 69 distributive lattices
dps78ser Delvos Posdorf Schempp 78 adds a few points in interior of cells
twm85grid Thompson Warsi Mastin 85 grid generation by PDEs
j86triang Joe 86 filling convex polygons with triangles
femhand Shepard Abel 87 chapter 5.3.4, 5.4.3b
bgr88obtuse Baker Grosse Rafferty 88 nonobtuse triangulation
be91triang Bern Eppstein 91 survey
kw92atlas Kalik Wendland 92 p.l.triangulation of differential manifold
mf92plate McMahon Franke 92 choose Voronoi regions for scattered data
r92tri Ruppert 92 iterative Delaunay, adding circumcenter to skinny triangles
bdy-struct boundary data structures
cs77byu Christiansen Stephenson 77 MOVIE.BYU
cg89tensor Coughran Grosse 89 scatter data or rectangular mesh
llmmpds90 Lounsbery Loop Mann Meyers Painter DeRose Sloan 90 dstruct
p90format Pratt 90 CAD data exchange standards
w85bdy Weiler 85 winged edge
w85bdyc Woo 85
w88bdy Wilson 88
a92bdy Ala 92 "delta" E->F, F->V, V->E; paging off disk
timeser time series, digital filters, signal processing
intersect finding intersections
minimal minimal surfaces
quadrature quadrature
fn special functions
extrap extrapolation, acceleration of series
dsp79 IEEE DSP
b85filter Bose 85 digital filters
w86time Wilson 86
jt87time Jones Tryon 87 unequally spaced data
bg82gmsolid Boyse Gilchrist 82 GMSolid CSG to boundary representation
d85inters Dokken 85
hefs85inters Houghton et al 85
g85resolv Goldman 85 resolvents
ck87inters Chandru Kochar 87 intersection by elimination
ch89impl Chuang Hoffmann 89
nsk90clip Nishita Sederberg Kakimoto 90 Bezier clipping
m91intersect Mullenheim 91
m91intersect2 Mullenheim 91
bl86min Barbosa Lucas 86
gw69 Golub Welsch 69 Gaussian rule from eigensystem
dr84i Davis Rabinowitz 84 Methods
bl84quad Barnhill Little 84 cut long side of triangle with max error
h68ca Hart et al 80 Computer Approximations
cw80e Cody Waite 80 Elementary Functions
c87s Cody 87
fnlib fnlib
f80fn Fullerton 80 Bibliography
t89exp Tang 89 exp (small table, like traditional software)
elliptic elliptic integrals, Jacobian elliptic functions
t92expm1 Tang 89 exp(x)-1
bs92bessel Boisvert Saunders 92 vfnlib
fl67ellip Fair Luke 67 incomplete elliptic integrals by Pade
c79ellip Carlson 79 incomplete elliptic integrals 1-,2-,3-kind
bdg81 Bjorstad Dahlquist Grosse 81
b82neville Brezinski 82 Muhlback-Neville-Aitken Havie E-algorithm
sfs86MMPE Sidi Ford Smith 86 "modified minimal polynomial extrapolation"
k81 Knuth 81 generators, test, shuffling
m85rand Marsaglia 85 update on Fibonacci, combinational generators; tests
f86quasi Fox 86 Faure, Halton, Sobol sequences (evenly distributed over square)
gz85rand Guralnik Zemach 85 uniform random in and on a sphere, on a Cray XMP
a88rand Altman 85 more testing
a90rand Anderson 90 vectorization
p93rand Petersen 93 buffer tricks
t77eda Tukey Exploratory Data Analysis
w79free White 79 equidistributing mesh
twm85grid Thompson Warsi Mastin 85
bf85ace Breiman Friedman 85 estimating transformations for regresson
scaling scaling, centering, sphere-ing, decorrelation
conformal conformal mapping
polar polar coordinates
tt81 Tukey Tukey 81 automatic decorrelation
agk82 Art Gnanadesikan Kettenring 82 estimating within-cluster covariance matrix
t80sc Trefethen 80 Schwarz-Christoffel
h86conf Henrici 86 conformal mapping up to 86
bg87arc Bjorstad Grosse 87 circular arc polygons
d86polar Dierckx 86 tensor spline on circle
f88mars Friedman 89 MARS
stepwise stepwise
subsets all subsets
m73Cp Mallows 73 $C_p$ plots (option in imsl/rbest)
fw74leap Furnival Wilson 74 leaps and bounds
g79sweep Goodnight 79 forward stepwise regression
h77subset Hocking 77
ak82subset Armstrong Kung 82
polyrat polynomial, rational
sfem spline, finite element
specific other specific approximating spaces
refine grid refinement
techniques techniques for combining specific methods
param parametric, geometric/visual continuity
abstract abstract spaces
poly real polynomial
rational real rational
complex complex polynomial, rational
polyzero zeros of polynomials
w71zero Wilkinson 71
m73zero Madsen Reid 73 PA06,7
j75zero Jenkins 75
crease discontinuities (jump, crease, edges)
spline splines
fem finite elements
trig trigonometric
specfun special functions (approximation by, not approximation of)
kernel kernel smoothing
moving moving least squares
radial radial basis functions
wavelet wavelet, quadrature mirror filter
Urysohn Urysohn's lemma
cm89 Cavendish Marin 89 blend between domains specified by offset curves
cm89 Cavendish Marin 89 blend between domains specified by offset curves
s90surv Sabin 90 comprehensive survey
fs90hodo Farouki Sakkalis 90 polynomial arclength, rational offset
knotins knot insertion for splines
km83sub Koparkar Mudur 83 subdivision at algebraic points
dlg87 Dyn Levin Gregory 87 interpolatory
mp87sub Micchelli Prautzsch 87
h86box Hollig 86 recursive subdivision of box splines
s91subdiv Sabin 91
bounds bounds
directrix directrix, correspondence, and generator
multi1 extension of univariate methods to multivariate
stage multistage methods
iso isoparametric approximation ($\min_{P,Q}\|f\circ P-Q\|$)
GC generalized cone
offset offset
fillet fillets
s90surv Sabin 90 comprehensive survey
a91devel Aumann 91 suff conditions for developable Bezier patch
nb77gc Nevatia Binford 77 space curve and cross-section function
u-der univariate
estder/l2 least squares local quadratic
estder/dir weighted average of directional derivatives
estder/var variational method (minimize integral of derivatives)
a85estder Alfeld 85 minimum energy over piecewise polynomials
network minimum norm network
a70jacm Akima 70 local average of slopes
em77local Ellis McLain 77
iky77sweep Ichida Kiyono 77
a91der Akima 91 improved accuracy over Akima 70
l77c1 Lawson 77 software for $C^1$
a78toms Akima 78 bivariate interpolation
m80scat Mansfield 80 weighted average of directional derivatives
a84der Akima 84 weighted average of directional derivatives
bl84 Barnhill Little 84 triangular Shepard
a96der Akima 96 [tensor] weight cubic estimates by deviation from l2 line
a96der2 Akima 96 [scatter] weight cubic estimates by deviation from l2 plane
hh87blending Hoffmann Hopcroft 86 projective blending surfaces
w86fillet Warren 86 algebraic surfaces as fillets
p87l2alg Pratt 87 product of base surface and "truncating surface"
ro87blending Rockwood Owen 87 "super elliptic blend"
s90surv Sabin 90 comprehensive survey; trimming
Haar Haar system
genfun generating function methods (generalized Pad\'e)
linalg general linear basis functions
opt general non-linear basis functions
alg-eq implicit algebraic equations
dif-eq differential equations
functional functional approximation
power power
Newton Newton form of interpolating polynomial
Cheby Chebyshev
Bezier barycentric, Bernstein-Bezier curves and patches
poly/orth general orthogonal
polycon constrained
m-poly multivariate
powereval evaluation
polyint integrals
h68ca Hart et al. 68 Horner's rule and alternatives
f68eval Fike 68 economized methods
z83poly Ziv 83 factored form, more stable than Horner
s87tri Schumaker 87 raster evaluation
hpw90horner Hansen Patrick Wang 90 scaling to avoid overflow
s87tri Schumaker 87 bivariate integral over triangle
gr84interp Gasca Ramirez 84
egk87poly Egecioglu Gallopoulos Koc 87 parallel interpolation and evaluation
fr88fejer Fischer Reichel 88 updatable, approximately Fejer distributions
Cheby-interp interpolation to function and derivative data
Cheby-l2 least squares
Cheby-eval evaluation
Cheby-deriv derivatives
Cheby-int integrals
Cheby-diag/std standard errors from least squares fit
Cheby-con endpoint constrained
k70poly Krogh 70 polynomial interpolation; E01AEF
T1FE Cox 86 Clenshaw Forsythe least squares fitting
fnlib Fullerton 81 CSEVL
port Warner 75 TCHBP
dasl DASL/T1VE
bs92bessel Boisvert Saunders 92 vectorization
dasl DASL/T1DE
dasl DASL/T1QE
dasl DASL/T1SE
l88cheb Lachance 88 degree lowering for curves and surfaces
f57orth Forsythe 57 generate polynomials given abscissa
w59orth Weisfeld 59 extension of Householder Stiefel to several variables
port Warner 75 ORTHP evaluation, given recurrence coefficients
s75poly Shampine 75 advocates double precision residual
cb80 Conte de Boor 80 least squares polynomial fitting
tl81 Ting Luke 81 conversion between different bases
g82orth Gautschi 82 recurrence coefficients for general weights
poly/orth/add adding and deleting points
poly/orth/sob Sobolev norm
d77l2 Davidon 77 ``online'' algorithm
egk89 Elhay Golub Kautsky 89 rotations, Lanczos
ikns88 Iserles Koch Norsett SanzSerna 88
ch65 Clenshaw Hayes 65; T1FCE
mo86polycon Mason Opfer 86 discretized infinite program; Newton on dual
kt89 Kaufman Taylor 89 linear constraints on coefficients and range
m-poly/eval evaluation
m-poly/approx approximation, interpolation
cg90horner Carnicer Gasca 90 Horner graph
cy77interp Chung Yao 77 geometric conditions for interpolation
gr84interp Gasca Ramirez 84
b85interp Busch 85
bj85orth Bartels Jezioranski 85 Forsythe-style orthogonal basis
d87hex Dunkl 87 orthogonal polynomials on the hexagon
m88multi Muhlbach 88 generalized polynomial interpolation on tensor grid
kt89 Kaufman Taylor 89
p90c1c2 Preusser 90 C^2 9th-degree triangle for 4th-order vertex Hermite data
Remez Remez exchange
diffcor differential correction
linequality linear inequality method
ratinterp interpolation
pade Pad\'e
ratpow power of polynomial in denominator
t86cf Trefethen 86 Caratheodory-Fejer
kt88inf Kaufman Taylor 88 infinite interval
st89cf Saff Totik 89 polynomial Caratheodory-Fejer fails
mc90rat Manocha Canny 90 polynomial parametrizations
d93param Degen 93 eighth-order rational cubic
pgy93l2 Pratt Goult Ye 93 orthog poly, SVD
m63remez Maehly 63 exchange zeros rather than extrema
m67 Meinardus 67 section 7.1
b87remez Breuer 87 Thiele interpolation and secant iteration
remez1 Remez, first (single exchange)
remez2 Remez, second (multiple exchange)
c76remez Chalmers 76 linear constraints, e.g. monotone polynomials
jf87remez Jing Fam 87
d80remez Dunham 80 user supplies functions and derivatives
ns83remez Nurnberger Sommer 83 splines
co66 Curtis Osborne 66
s76li Simpson 76 polynomial
c86aa Cheney 86 Algorithms for Approximation
bcl87lp Bartels Conn Li 87
c88remez Chiang 88 modification for degeneracy
port Eldredge Warner 76 PORT/BURAM,BURM1
klt78 Kaufman Leeming Taylor 78 combined Remez - differential correction
c86aa Cheney 86 Algorithms for Approximation
lr73rat Lee Roberts 73
d84rat Dunham 84 for nearly optimal results, need high precision
g81rat Graves-Morris 81 reordering points before interpolation
bh81rat Graves-Morris Hopkins 81 continued fraction; E01RAF
c87rat Cuyt 87 recursion for multivariate rational, compared with others
cw87rat Cuyt Wuytack 87 inverse, reciprocal, qd, Gradd, eps, Stoer
c88rat Cuyt 88 convergent of a multivariate continued fraction
bb92rat Barel Bultheel 92
baryrat barycentric
b88rat Berrut 88 coefficients of equal size, no poles
b89sinc Berrut 89 stable form of sinc series without sin evaluations
harwell Morgan 64 PE06
m81pade Mason 81
cw87rat Cuyt Wuytack 87 continued fraction, qd, Gragg, determinant, Viscovatov, recursive, eps, multivariate
tg87cp Trefethen Gutknecht 87 like Pad\'e, but match Chebyshev series
c78ratpow Carta 78 take root, linearize, iterate
d87ratpow Dunham 87 Remez
fixed-cr known, fixed crease
free-cr unknown crease, to be found
brz76fault Bolondi Rocca Zanoletti 76 slit in thin plate
fn83disc Franke Nielson 83 adding jumps and creases to Shepard surfaces
s85edge Shiau 85 many methods
dt90curv Dudek Tsotsos 90 look for jumps in curvature
h92discont Hechbert 92 put triangle edges where jumps can be predicted
ms85edge Mumford Shah 86 min (length+gradient+L2) by Euler-Lagrange
s85edge Shiau 85 many methods
m86persmoo McDonald 86 ``split linear fit'' left, center, and right
c86edge Canny 86 numerical optimization for filter; multiscale
tp86edge Torre Poggio 86 regularization, zero-crossing; comparative remarks
b87edge Bergholm 87 multiresolution
lph88disc Lee Pavlidis Huang 88
l88edge Lee 88
g90edge Girard 90 global spline with free jumps
hddhjmss94 Hoppe et al 94 linear patches to control points and creases
c86edge Canny 86 edge dectection
b87edge Bergholm 87 edge dectection
gkm91bnd Gopalsamy Khandekar Mudur 91 optimal sample and Lebesque constant
c92ratsubdiv Cheng 92 perspective correction in estimating subdivision level
u-spline univariate
m-spline multivariate
pl piecewise linear
pch pch: piecewise cubic Hermite
pp pp: general piecewise polynomial
B-spline B-splines
Bezier Bernstein-Bezier curves
spline-conv conversion between different bases
s-spline specialized splines
adaptive free knots
b78s de Boor 78 BSPLPP,BSPP2D B-spline to truncated power, imsl/bscpp
f86wfb Fritsch 86 any $G^1$ cubic can be reparameterized as $C^1$
h87conv Hoschek 87 higher degree, fewer Bezier pieces <-> lower, more
gf87r2t Goldman Filip 87 cut rectangle along diagonal
f88rep Fritsch 88 converting $G^2$ cubic to B-spline with double knots
t92remov Tiller 92 power -> Bezier -> B-spline, then remove redundant knots
ss86rat Sakai Silanes 86
elastica elastica
nu-spline $\nu$, $\beta$, $\gamma$, Manning, Farin, W-F
tension taut splines, splines under tension
network minimum norm network spline
weighted-spline weighted splines
s-spline-other other
s84w2nd Salkauskas 84 interpolation and piecewise constant weight
f87wnu Foley 87 interval and point tension by weighted nu-splines
kl90qspline Kulkarni Laurent 90 inverse piecewise linear weights
s83hyper Schumaker 83 recursion
al68spline Anselone Laurent 68 linear system for general linear functionals
catmull-rom Catmull-Rom
d-spline discrete spline
EHB-spline EHB-spline (unusual smoothness constraints)
spec-spline spectral spline
conic-spline conic spline
bern-spline Bernoulli spline
s91bern Stockler 91 multivariate Bernoulli spline
p83conic Pavlidis 83
p85conic Pratt 85
p89conic Pham Binh 89 tridiagonal system
acctab tabulate at arguments where values need few digits
segment breakpoint placement
g85tab Gal 85 table based method for highly accurate functions
acgsst86 Agarwal et al. 86
t89exp Tang 89 exp (small table, like traditional software)
m90tab Markstein 90 rounding issues
gb91tab Gal Bachelis 91 exp, log, trig for IEEE
z91tab Ziv 91 use higher precision when first approximation isn't decisive
fn84pchip Fritsch 82 monotone interpolation, evaluation
f88monol2 Fritsch 88 least squares
u-der derivative estimation
nss86seg Nurnberger Sommer Strauss 86 allows jumps at knots
nearsmooth almost smooth (jumps less than $\epsilon$)
pp-eval evaluation of general piecewise polynomial
pp-onepass one-pass least squares fitting
b78s de Boor 78 PPVALU
imsl imsl/ppval,ppder,ppitg
y87onepass Yoshimoto 87 fit data on interval and two neighbors
b78s de Boor 78 Practical Guide
B-spline-fit fitting, interpolation
B-spline-eval evaluation, derivatives, integral
B-spline-zero zeros
knotins subdivision, knot insertion
degraise degree raising
B-diag diagnostics, error estimation
ratBspl rational B-splines
B-interp interpolation
endcond end conditions for interpolation
B-local local, variation diminishing
B-quasi quasi-interpolation
B-l2 least squares fitting
B-l1 $l_1$ fitting to data points
B-li $l_\infty$ fitting to a function
b78s de Boor 78 CUBSPL, SPLINT, SPLI2D
dasl DASL/B1IE, B1IPE
imsl imsl/bsint
optinterp ``optimal'' spline interpolation
B-many many-knot interpolation
dgm88many Dahmen Goodman Micchelli 88
ls75local Lyche Schumaker 75 anything that reproduces polynomials
dgm88many Dahmen Goodman Micchelli 88
b78s de Boor 78 QUASI (chapter XII, example 4)
s85ppf Sablonniere 85 quasi-interp on 3-direction mesh
cl87box Chui Lai 87 quasi-interp box spline
B-l2d fitting discrete data
B-l2f fitting user function
b78s de Boor 78 L2APPR
dasl DASL/B1FE, B1FPE
imsl imsl/bslsq
port Schryer PORT/DL2SF
port Schryer PORT/L2SFF
cj87l1 Cox Jones 87 spline l1 fitting, shape preserving
n86free Nurnberger 86 pp-segment; then fix knots and use Remez
b86remez Blatter 86 adaptation of Remez to splines
l74end Lucas 74 higher order accurate derivatives
bc88end Beatson Chacko 88 end $f'$ of cubic interpolant
Bs-eval spline evaluation
B-eval B-spline basis evaluation
Bs-deriv spline derivatives
B-deriv B-spline basis derivatives
Bs-int spline integrals
B-int B-spline basis integrals
Bs-fourier Fourier transform
knotins knot insertion and degree raising
b78s de Boor 78 BVALUE (BVALU2 has right endpoint continuous from left)
dasl DASL/B1VE, B1VPE
imsl imsl/bsval
port Schryer PORT/SPLNE
l86bse Lee 86 comparison of Lee and Boehm speedups
swf91eval Silbermann Wang Ferrari 91 speedup of forward differencing
b78s de Boor 78 BSPLVB
port Schryer PORT/BSPLE
b78s de Boor 78 BVALUE
dasl DASL/B1DE, B1DPE
imsl imsl/bsder
port Schryer PORT/SPLND, SPLN1
b78s de Boor 78 BSPLVD
port Schryer PORT/BSPLD, BSPL1
dasl DASL/B1QE, B1QPE, B1SQE, B1SQPE
imsl imsl/bsitg
port Schryer PORT/SPLNI
g76int Gaffney 76
port Schryer PORT/BSPLI
vbh92quad Vermeulen Bartels Heppler 92 integral of B-spline * function
g72atten Gautschi 72 attenuation factors
g80per Gutknecht 80 conjugate function
n81four Neuman 81 arbitrary knots
g87per Gutknecht 87 attenuation factors for tensor and box splines
d87per Delvos 87
d87fit Dierckx 87 sproot (cubics only)
g89zero Grandine 89 interval Newton
B-diag/std standard errors from least squares fit
B-diag/fun function and spline
B-diag/dat two splines
dasl DASL/B1SE, B1SPE, (derivatives) B1SDE, B1SDPE
port Schryer PORT/EESFF, EESFI
port Schryer PORT/EEBSF
deglower degree lowering
h82essen Henrici 82 section 5.4.e, with flowchart for equal-step case
gm83bern Gonska Meier 83 comprehensive bibliography
f90cs Farin 90 evaluation by nested multiplication, p.48
f90cs Farin 90 degree raising, p.64
s87g1pat Sarraga 87 $G^1$ Bezier patch interpolating Bezier curves
sv86tri Schumaker Volk 86 evaluating Bernstein Bezier polynomial on triangle
s87tri Schumaker 87 evaluating Bernstein Bezier polynomial on triangle
s90triB Seidel 90 generalized Bezier patch using polar forms
cr74 Catmull Rom 74
bg88cr Barry Goldman 88
d80dspl Duris 80 Lyche cubic discrete spline oslo
oslo Cohen Lyche Riesenfeld 80 Oslo algorithm for subdivision
b80ins Boehm 80 knot insertion
lr80sub Lane Riesenfeld 80 subdivision
bp85 Boehm Prautzsch 85 inserting a knot sequence
d86subdiv Dahmen 86 subdivision
bpa87sub Boehm Prautzsch Arner 87 Bezier, subdivision of triangular spline
lm87deg Lyche Morken 87 fit spline of one degree and knots by another
deglower degree lowering
p84deg Prautzsch 84
cls85deg Cohen Lyche Schumaker 85 degree raising for splines
lm87deg Lyche Morken 87 fit spline of one degree and knots by another
ch91lower Cox Harris 91 left-to-right greedy algorithm
h87conv Hoschek 87 higher degree, fewer Bezier pieces <-> lower, more
e93lower Eck 93 variat of Forrest 72
pt87ratB Piegl Tiller 87
l87conic Lee 87 relationship with conics
s73spl Spaeth 73 tension varies from interval to interval
c74tension Cline 74
b78s de Boor 78 TAUTSP adds knots to cubic rather than using exponential basis
r80tension Rentrop 80
nf84tension Nielson Franke 84 minimum norm network spline with tension
r87tension Renka 87 choice of tension parameters for shape preservation
sk88tension Sapidis Kaklis 88 convex, monotone
kl91tension Koch Lyche 91 Bezier form
r93tension Renka 93 interpolating or smoothing, with bounds constraints
n74nu Nielson 74 $\nu$-spline
f86wfb Fritsch 86 any $G^1$ cubic can be reparameterized as $C^1$
h86mock Hobby 86 approximately $G^2$
f87wnu Foley 87 interval and point tension by weighted nu-splines
f88rep Fritsch 88 converting $G^2$ cubic to B-spline with double knots
f88wnu Foley 88 montone, convex constrained variational problem
lf73elas Lee Forsythe 73 definitions
m73n Malcolm 73 Nonlinear splines
r81nbb K-D Reinsch 81 Munchen PhD thesis
gj82e Golomb Jerome 82 global and local analysis of curvature functional
k86elastica Kallay 86 given endpoint locations and directions, total length
bn88elastica Bruckstein Netravali 88 min length * energy
jh91elastica Jou Han 91
b92elastica Brunnett 92 param by max curvature, tension
e92elastica Edwards 92 nonlinear equation solver, elliptic integrals
js76ehb Jerome Schumaker 76 support basis construction
c78fem Ciarlet 78
modulef Begis Hecht Vidrascu 84
femhand Finite Element Handbook 87
fem2 bivariate
fem3 trivariate and general dimension
est+fem estimate nodal information for finite element
fem2/tri triangle
fem2/rect rectangle
iso isoparametric approximation ($\min_{P,Q}\|f\circ P-Q\|$)
param/irr irregular patches for otherwise rectangular grid
fem2/tri/quad quadratic, piecewise quadratic
fem2/tri/cub cubic, piecewise cubic
fem2/tri/quin {$C^1$} quintic, piecewise quintic
fem2/tri/rat rational
fem2/tri/other other
p74quad Powell 74 {$C^1$} quadratic triangle for contour plotting
ps77quad Powell Sabin 77 {$C^1$} quadratic triangle for contour plotting
st81quad Sibson Thomson 81 16-triangle rectangle with linear grad on edges
dvv92powellsabin Dierckx VanLeemput Vermeire 92 smoothing, least sq, adapt
g87c1l2 Gmelig Meyling 87 function and derivative at vertices and internal Bezier point
g87c1 Grandine 87 B-net min norm perturbation of piecewise linear, by SOR
clough-tocher Hsieh-Clough-Tocher {$C^1$} cubic macro-triangle
bb82shell Bernadou Boisserie 82 shell finite elements
p90c1c2 Preusser 90 C^1 quintic triangle for 2nd-order vertex Hermite data
m76rat McLain 76 local quadratic at vertices; distance to opposite side
b77surf Barnhill 77 Brown, Little rational triangle
m80scat Mansfield 80 {$C^1$} rational triangle (with Birkhoff 74)
w83rat Wang 83 $C^1$ rational
ab84tri Alfeld 84 $C^2$ cubic and quintic precision
h85tri Herron 85 $C^1$ rational; cubic precision
n80mn Nielson 80 minimum pseudonorm; 9-parameter $C^1$ element with linear normals
s81nn Sibson 81 Natural Neighbor Interpolation
p90c1c2 Preusser 90 C^2 9th-degree triangle for 4th-order vertex Hermite data
ct65 Clough Tocher 65 C1 cubic macro-triangle
bh81ct Bernadou Hassan 81 basis functions, complete and reduced
bb82shell Bernadou Boisserie 82 shell finite elements
m78curtri Mansfield 78 curved triangle
f85sct Farin 85 $C^2$ variant
wf87ctn Worsey Farin 87 n dimensional
m72 Melkes 72 reduced Hermite interpolation (zeros cross-product terms)
bpd80 Baszenski Posdorf Delvos 80 explicit Melkes; $C^2$-conforming
n86melkes Nienhaus 86 $C^1$-conforming
gh73trans Gordon Hall 73 blending functions
m78curtri Mansfield 78 curved triangle
fhp78iso Frey Hall Porsching 78 sufficient conditions
f83iso Field 83 invertible quadratic elements
c83iso Citipitioglu 83
tetrahedra tetrahedron
blendmult discretizations of blending on simplices
s91omega Sabin 91 20-node quad brick versus B-spline
a84tetr Alfeld 84 $C^1$ rational
a84tetrct Alfeld 84 quintic Clough-Tocher
wf87ctn Worsey Farin 87 n dimensional cubic Clough-Tocher
wp88tetr Worsey Piper 88 Powell-Sabin-type $C^1$-quadratic, 24 pieces
r88morley Ruas 88 gen. Morley's triangle; $C^0$-quadratic
h73insight Hamming 73 Numerical Methods
port Warner 75 TRIGP ``vector variation of Horner's rule''
gm87trig Giunta Murli 87 trig coefficients
FFT FFT
spectral spectral methods
b86hartley Bracewell 86 fast Hartley transform
dr92trig Dutt Rokhlin 92 approx by guassian*sin
clw70fft Cooley Lewis Welch 70 FFT with various symmetries
s69fft Singleton 69 complex and real in one or more variables
te73symm Ten Eyck 73 crystallographic FFT
dsp79 IEEE DSP
s82fft Swarztrauber 82 FFTPACK
s91fft Schoemake 91 efficient permutation
t92fft Temperton 92 roughly 1.25 faster than Cooley-Tukey
d93fft Dahlquist 93 logarithmic grid
go77spec Gottlieb Orszag 77
gt85local Gottlieb Tadmor 85 physical-space localization
chqz87 Canuto Hussaini Quarteroni Zang 87
exp sum of exponentials
gaus sum of gaussians
sinc sinc
varp VARPRO
h73insight Hamming 73 Numerical Methods
k79l1exp Kammler 79
r80exp Ruhe 80 discrete nonnegative least squares, then Prony
w87exp Watson 87 $l_1$
s88genfun Small 88 methods of Prony and of Tuttle
w90exp Watson 90 $l_\infty$
gp73varp Golub Pereyra 73
k75varp Kaufman 75 speedup of Golub Pereyra
kp78varp Kaufman Pereyra 78 nonlinear equality constraints
gl79varp Golub LeVeque 79 multiple sets of linear coeff for one set of nonlinear
port Gay Kaufman port/nsfb,nsf1 simple bound constraints; single nonlinear
s86go Schagen 86 Internal Modelling for Global Optimization
s81sinc Stenger 81
bers86sinc Butzer Engels Ries Stens 86 alternatives using splines
b89sinc Berrut 89 stable form of sinc series without sin evaluations
g85resolv Goldman 85 resolvents for implicitization
w86fillet Warren 86 algebraic surfaces as fillets
p87l2alg Pratt 87 best algebraic under geometric distance
s87implicit Sederberg 87 pictures
bhlh88implicit Bajaj Hoffmann Lynch Hopcroft 88
b90implicit Bajaj 90 $G^1$ interpolation
g91bdyelem Georg 91 integral of basic function projected onto manifold
kw92atlas Kalik Wendland 92 p.l.triangulation of differential manifold
wh94particle Witkin Heckbert 94 repelling particles on surface
quadric patches on quadric surfaces
cubic patches on cubic surfaces
implicit-approx approximation of parametric curve by implicit
param-approx approximation of implicit curve by parametric
paramdat data near parametric curve
wl90quad Warren Lodha 90 projective image of plane triangle under quadratic
dhj93quad Dietz Hoschek Juttler 93 Pythagorean quadruples in polynomial rings
lw92cubic Lodha Warren 92 rational biquadration Bezier; skew-line coordinates
p88implicit Patterson 88 parametric cubics as implicit curves
ch89impl Chuang Hoffmann 89
pgv91conic Potier Guermah Vercken 91 look for locally constant cross ratio
m91circle Morken 91 symmetric, $C^1$ quadratic approximation to circular arc
v82diffeq Varah 82 differential equations
d75ia Davis 75 basic definitions and examples
exp sum of exponentials
Remez Remez exchange
s88genfun Small 88
sn82compl Streit Nuttall 82
w88clin Watson 88 l-infinity complex linear system
w88compl Watson 88 l-infinity complex function
c/poly polynomial
c/rat rational
f81taylor Fornberg 81 numerical estimation of Taylor series
r84aorth Reichel 84 approximate Faber polynomials on Jordan curve
g86compl Gutknecht 86 best on domain by conformal mapping, projection
fr88fejer Fischer Reichel 88 updatable, approximately Fejer distributions
t88remez Tang 88 single-exchange Remez
r86lr Reichel 86 fix basis; interpolate at points on boundary
t86cf Trefethen 86 Caratheodory-Fejer
param/p parametric smoothness desired
param/g only geometric smoothness of locus of points needed
param/p1 curves
param/p2 surfaces
dasl (see also DASL spline routines with letter L)
param/g1 curves
param/g2 surfaces
bhs87 de Boor Hollig Sabin 87 $O(h^6)$ cubics
gu88g2 Goodman Unsworth 88 cubic segments and straight lines
nu-spline $\nu$, $\beta$, $\gamma$, Manning, Farin, Wilson-Fowler splines
s89param Schaback 89 convergence order of many methods
kl90qspline Kulkarni Laurent 90 $G^2$
l90vcquart Lasser 90 $VC^3$ and $VC^4$
s91univ Seidel 91 Bezier from spline, knot insertion for $G^1$
d93param Degen 93 eighth-order rational cubic
vparam choice of parameterization variable
p-spline spline
p-conic piecewise conic
tl2 orthogonal distance regression splines
ordering ordering scattered points
e76param Epstein 76 chordal distance is better than uniform
m83param Marin 83 minimize second derivative; better than chordal
f86wfb Fritsch 86 any $G^1$ cubic can be reparameterized as $C^1$
h88intrin Hoschek 88
l89param Lee 89 centripetal (sqrt chordal)
f90cs Farin 90 p.130-134
fs90hodo Farouki Sakkalis 90 polynomial arclength, rational offset
a91param Alt 91 conic on 3 points, various criteria
df91order Dedieu Favardin 91 fit algebraic by l2 and laplacian penalty
d87fit Dierckx 87 fitpack(parcur,clocur,concur), param
m83i McLaughlin 83 planar interpolation
f85mcl Frey 85 piecewise parabolic
mw92arc Meek Walton 92 similar to segmentation methods
h92arc Hoschek 92 shortest interpolating circular arc spline
csyl88 Choi Shin Yoon Lee 88 triangles from scattered data on surface
param/irr irregular patches for otherwise rectangular grid
s83tr Sabin 83 triangular and pentagonal patches
sb89nsided Storry Ball 89 C1 patch for bicubic neighbors
ld90nsided Loop DeRose 90 biquadratic, bicubic Sabin nets
p93box Peters 93 $C^1$ irregular cubic patch for mesh of Zwart patches
p95surf Peters 95 $C^1$ quadratic using corner cutting
f83surf Farin 83 variant of Clough-Tocher for parametric surfaces
j87assem Jensen 87 mixing triangles and rectangles
n87g1patch Nielson 87 a 6-parameter $G^1$ triangle
ss87patch Shirman Sequin 87 local, polynomial
scds91tri Schmitt Chen Du Sair 91 Gregory-Bezier triangle
r91cross Renner 91 twist compatibility and cross derivatives
c87fejer Clutton-Brock 87 kernels for sphere
shepard distance weighted interpolation (Shepard)
movingl2 (finite weight) least squares
s68irr Shepard 68 Two-dimensional interpolation for irregular-spaced data
gw78shep Gordon Wixon 78 Shepard's method
b77surf Barnhill 77 transfinite Shepard
fn80shep Franke Nielson 80
l83ccs Little 83 triangular Shepard
f86mls Farwig 86 interpolation by moving least squares
bpr87geod Barnhill Piper Rescorla 87 distance along geodesic
r88shep Renka 88 modified Shepard in 2 and 3 dimensions with k-d tree
m74contour McLain 74 distance weighted least squares onto rectangular mesh
c79lowess Cleveland 79 (univariate) lowess; n/2 near neighbors
ls86csf Lancaster Salkauskas 86 Curve and Surface Fitting; derivatives
m86persmoo McDonald 86 ``split linear fit'' left, center, and right
cdg88 Cleveland Devlin Grosse 88 (multivariate) loess; partial sort, k-d trees, blending
multiquad Hardy's multiquadrics
plate thin plate splines $r^2 \log r^2$
gaus sum of gaussians
radial/gen algorithms applicable to many radial bases
radial/other other
dl81bell Dyn Levin 81 bell-shaped bases for Hardy, thin plate
dlr86pcg Dyn Levin Rippa 86 iterated Laplacian as preconditioner
bl88neural Broomhead Lowe 88 interpretation as neural network
mf92plate McMahon Franke 92 choose Voronoi regions for scattered data
js91box Jetter Stoeckler 91
sw93l2radial Sivakumar Ward 93 theory for fixed set of centers
s80cont Sabin 69 tech report $r^3$ instead of $r^2 \log r^2$
gtensor tensor product and similar methods
blending blending, Coons patch, transfinite element
additive additive $f(x,y) \approx g(x)+h(y)$
nomographic nomographic $\approx f(u(x)+b(y))$, ACE
proj projection pursuit, $\approx \sum f(\alpha\cdot x)$
tensor rectangular grid data; tensor splines
ten/slice slices parallel to coordinate axis
ten/scat scattered data
ten/miss missing data
ten/cur curved mesh lines
ratprod rational product
ps73ten Pereyra Scherer 73
b79ten de Boor 79 tensor computations with a twist
ten-spline-fit fitting, interpolation
ten-spline-twist twist estimation
ten-spline-ev evaluation, derivatives
ten-interp interpolation
ten-l2 least squares fitting
ten-rank low rank
f90cs Farin 90 p.276-280,350
b78s de Boor 78 SPLI2D, imsl/bs2in,bs3in
dasl DASL/B2IRE, B2IPRE
wz88pl Weiser Zarantonello 86 piecewise linear interpolation in n dim
cj74ten Call Judd 74 least squares in n dimensions
h75ten Hartley 75 least squares in n dimensions
d77ten Dierckx 82 l2 cubic
g80ten Grosse 80 normal equations ok if in factored form
d81ten Dierckx 81 tensor smoothing for scattered data
dasl DASL/B2FRE, B2FPRE
d80rank Demko 80 $\sum_i f_i(x) g_i(y)$ using SVD
f88mars Friedman 89 MARS
ten-spline-eval evaluation
ten-spline-deriv derivatives
ten-spline-int integrals
dasl DASL/B2VRE, B2VPRE
imsl imsl/bs2vl,bs3vl
port Grosse PORT/VDSS1,VDSS2,VDSS3
dasl DASL/B2DXE, B2DYE, B2DPZE, B2DPTE
imsl imsl/bs2dr,bs3dr
imsl imsl/bs2ig,bs3ig
ch65 Clenshaw Hayes 65 least squares bivariate polynomial
dasl tensor spline DASL/B2FE
hh74bicub Hayes Halliday 74
$\Delta u = 0$
c87state Cox 87 Hayes curved knot lines planned for DASL
kt75rat Kaufman Taylor 75
h77ratprod Henry 77
blendrect rectangular patch
blendtri triangular patch
blendcur network of curves
recontour slices parallel to coordinate plane
Urysohn Urysohn's lemma
blendmult more than two variables
nat-ten boundary data as basis functions
blendpt experimental design
c75blend Cavendish 75 local mesh refinement
bbk78twist Barnhill Brown Klucewicz 78 alternatives to 0 cross derivatives
b77surf Barnhill 77 Gregory, Little and Brown squares
bs93bubble Bercovier Shilat 93 Coons patch plus bubble function from serendipity element
bbg73tri Barnhill Birkhoff Gordon 73 interpolate parallel to side
b77surf Barnhill 77
g78tri Gregory 78 symmetric rational and polynomial blending
n79sv Nielson 79 side-vertex radial projectors
n80mn Nielson 80 minimum pseudonorm
ab84tri Alfeld Barnhill 84 $C^2$ quintic blending
h86curv Hagen 86 blending value, derivative, and curvature
f86tripatch Foley 86 integrates on boundary (relatively expensive)
w78cur Wixom 78 data on collection of intersecting curves
jpw91blend Jensen Petersen Watkins 91 cross-boundary derivatives
fku77 Fuchs Kedem Uselton 77 reconstructing object from slices
b88cont Boissonnat 88 pruning Delaunay
kf88cont Kehtarnavaz Figueiredo 88 match segments by shape; blend
m76tetr Mansfield 76 tetrahedra
bl84 Barnhill Little 84 BBG and radial Nielson
a85perp Alfeld 85 general dimension, smoothness, precision
g85simp Gregory 85 simplex extension of triangle method
t76natten Thomas 76 error $10^-3$ better than cubic blending for $e^{x(1-y)}$, $N=4$
h82anova Hemmerle 82 analysis of variance
c86aa Cheney 86 Algorithms for Approximation
ht86add Hastie Tibshirani 86
oyr86add O'Sullivan Yandell Raynor 86
f88mars Friedman 89 MARS
w91add Wahba 91 r.k.H.s.
fgs83 Friedman Grosse Stuetzle 83 improved projection pursuit regression
t88stat Thisted 88 section 4.6.1
c86aa Cheney 86 Algorithms for Approximation
bf85ace Breiman Friedman 85 estimating transformations for regresson
h71m Hardy 71 J Geophys Res
f82t Franke 82 tests of scattered data interpolation
f87bihash Foley 86 Interpolation and approximation of scattered data
p91multi Powell 91 choice of parameter
bp92multi Beatson Powell 92 univariate quasi-interp
bp92end Beatson Powell 92 endpoint correction
m-pp pp: general piecewise polynomial
tensor tensor product splines
plate thin plate splines
simplex simplex splines
box box splines; uniform grid
triB triangular B-spline
irrspline irregular mesh spline
supspl super spline
network minimum norm network spline
m-spline-conv conversion between different bases; degree lowering
a88news Alfeld 88 Multivariate Spline Newsletter
g86c1cub Gmelig Meyling 86 $C^1$ cubic triangles by sparse linear $l_2$
Bezier Bernstein-Bezier patches
polyharmonic polyharmonic spline
b74thin Briggs 74
brz76fault Bolondi Rocca Zanoletti 76 slit in thin plate
f82thin Franke 82
f85tens Franke 85 with tension
l86toep Lee 86 conjugate gradients, block Toeplitz
blwy86 Bates Lindstrom Wahba Yandell 86 gcvpack
qs88thin Quak Schumaker 88 calculating energy for Bernstein-Bezier patch
uv91scat Utreras Varas 91 monotone thin plate spline for scattered data
ss91plate Sibson Stone 91 precondition by Dirichlet bdy/dist
g97thin Goodsell 97 multigrid for many observations on circle
r91polyhar Rabut 91
mru91polyhar Micchelli Rabut Utreras 91 subdivision
r92polyhar Rabut 92
r92polyhar2 Rabut 92 finer discretization of Laplacian than in r92polyhar
f71triB Frederickson 71
s90triB Seidel 90 generalized Bezier patch using polar forms
bpa87sub Boehym Prautzsch Arner 87 Bezier, subdivision of triangular spline
fs93simplex Fong Seidel 93 pictures of Dahmen Micchelli Seidel 92 construction
l94irrspline Loop 94 refine to deg 4 mesh; quad-net; quartic triangles
cl87supspl Chui Lai 87
s89supspl Schumaker 89 basis construction
dm81mbspl Dahmen Micchelli 82 l2
dm82mbspl Dahmen Micchelli 82
h82mbspl Hollig 82
g87simpl Grandine 87 pessimistic
g87knot Gmelig Meyling 87 choice of knots
g87l2 Gmelig Meyling 87 evaluation and least square fitting
g88simpl Grandine 88
s85ppf Sablonniere 85 $C^1$ quadratic on criss-cross
bpa87sub Boehym Prautzsch Arner 87 Bezier, subdivision of triangular spline
d87sub Dahmen 87 multivariate spline on uniform grid by subdivision
j87assem Jensen 87 box splines for parametric surfaces
g87per Gutknecht 87 attenuation factors for tensor and box splines
d88box Dahmen 88 truncated power basis
box/eval evaluation
box/interp interpolation and quasi-interpolation
h86box Hollig 86 recursive subdivision
c88mspl Chui 88 B-nets of box splines
l92box Lai 92 recurrence DxB(*|X)=B(*|X-x)-B(*-x|X-x) and deriv of Bezier
cl87box Chui Lai 87 quasi-interp box spline
cdr88 Chui Diamon Raphael 88
dl88 Daehlen Lyche 88
wz88pl Weiser Zarantonello 86 piecewise linear interpolation in n dim
js91box Jetter Stoeckler 91 submodule; attenuation factors
hsw89conv Hoschek Schneider Wassum 89 GC^1 bicubic, GC^2 biquintic
est+fem estimate nodal information for finite element
stage2 interpolate scattered data onto rectangular grid
boolean Boolean sum, other than blending
overlap smooth averaging of overlapping local patches
residfit iterated fitting of residual
GMDH Ivakhnenko GMDH
neural adaptive learning networks
fgs83 Friedman Grosse Stuetzle 83 projection pursuit regression
f84del Foley 84 delta sum BL + S(I-BL)
s85cont Sabin 85 dynamic addition
f84gmdh Farlow,ed. 84 "group method of data handling"
bl88neural Broomhead Lowe 88
triang triangulation
estder estimate values, derivatives (for use with finite element)
fem finite element
blending blending
s76surf Schumaker 76 Fitting surfaces to scattered data
bg75bool Barnhill Gregory 75 $P \oplus Q$ has interpolation of $P$ and precision of $Q$
b77surf Barnhill 77 Shepard $\oplus$ least squares
ls86csf Lancaster Salkauskas 86 Curve and Surface Fitting
m72interp Maude 72 Hermite cubic weight of local polynomials
jmj73 Junkins Miller Jancaitis 73 overlap weighting
f77interp Franke 77 weighted average of local interpolant at data points
u79cv Utreras 79 thin plate splines on overlapping subregions
f82thin Franke 82
d86cv Daman 86 weighted overlap better than global
ac87strip Anthony Cox 87 fit coarse grid line by strips; bdy cond for patch
n83mnn Nielson 83 Minimum Norm Network
nf84tension Nielson Franke 84 minimum norm network spline with tension
nr87sph Nielson Ramaraj 87 Interpolation over a sphere
mc89mtf Montefusco Casciola 89 Min Tension Functional, related to Nielson 80
tensor data on rectangular grid
nearten data on nearly rectangular grid
track data along tracks, possibly intersecting
infint infinite interval
sphere functions defined over the surface of a sphere
alg-eq functions defined over the surface of a manifold
branch branching curve; multivalued function
paramdat points lying near a parametric curve
projective projective space
s85cont Sabin 85 1) precondition by snapping to grid; 2) parametric
param/irr irregular patches for otherwise rectangular grid
e71track Ewen-Smith 71
blendcur blending on network of curves
kt88inf Kaufman Taylor 88 rational approximation on infinite interval
lp91proj Lee Phillips 91 lattices for interpolation
sph/ten tensor grid (latitude, longitude)
sph/utri uniform triangulation
sph/other scattered over sphere
csphere curves on the surface of a sphere in 3 or 4 dimensions
s79sph Swarztrauber 79 scalars
s81sph Swarztrauber 81 vectors
w84sph Wahba 84 cross validation
d84sph Dierckx 84 tensor smoothing spline, scattered data
d86sph Dierckx 86 spherical harmonic coefficients of bicubic spline
d87sph Dierckx 87 tensor smoothing spline, lat.-long. data
gmp87sph Gmelig Meylin Pfluger 87 reconstruction from cross sections
t87sph Traas 87 $C^1$ by tensor spline with spherical harmonics at poles
st91sph Schumaker Traas 91 B-spline in latitude, trig B-spline in longitude
bf85sph Baumgardner Frederickson 85 uniform triangulation on sphere
f90sphere Fekete 90 subdivide icosahedron
l84sph Lawson 84 l2 quadratic derivative estimate and Clough-Tocher
r84sph Renka 84 $C^1$ interpolant
ap85voronoi Augenbaum Peskin 85 iterative Voronoi
c87fejer Clutton-Brock 87 kernel smoothing
f88sph Foley 88 radial basis functions, adjusted for antipode
d86quat Duff 86 spherical B-splines
nr87sph Nielson Ramaraj 87 Interpolation over a sphere
rbg87quat Roberts Bishop Ganapathy 87 quaternions
ellipsdat near circle or ellipse
bcdp88 Boffey Cox Delves Pursglove 88 inscribed sphere
b89circle Berman 89 when fitting to circle, don't use obvious l2
cj89circle Cox Jones 89 uncertainty ellipses
rz92circle Roy Zhang 92 tight bounding circles
lp classical $L_p$ and analogous norms
converg measures of convergence
penalty penalties, smoothing, tolerances
divdiff divided differences as a measure of noise
interp interpolation
fair fair, pleasing
constr constraints
data nonstandard data
bounds bounds
multires multiple scales or resolutions
s91omega Sabin 91 fix sample h, increase frequency in trial function
l2 $l_2$
tl2 total least squares, orthogonal distance regression
li $l_\infty$, $L_\infty$
l1 $l_1$
psmooth piecewise smooth
Hausdorff Hausdorff $\max[\max_{y\in G}\min_{x\in F}\|x-y\|,\max_{y\in F}\min_{x\in G}\|x-y\|]$
statnorm statistically motivated metrics
relnorm bounding the relative error
sr80 Schonfelder Razaz
p84rel Pryce 84 generalizes Olver's rho(x,y)=abs(ln(y/x))
gauss Gauss and Legendre; see Goldstine 77 section 4.10
maxlik maximum likelihood
AIC AIC (Akaike's Information Criterion)
MRF Markov random field
dlr77 Dempster Laird Rubin 77
tt78 Tapia Thompson 78 maximum penalized likelihood
o88log O'Sullivan 88 density estimation
bgw93maxlik Bunch Gay Welsch 93 generalized NL2SOL
a73aic Akaike 73
r83band Rice 83 comparison of GCV, Cp, Akaike
a88aic Atligan 88 choice of dimension in histograms, splines, gaussians
gg84gibb Geman Geman 84 simulated annealing
mmp87 Marroquin Mitter Poggio 87 other cost funtions
weight choosing weights in $l_2$ and other norms
l2penalty $l_2 + penalty$
robustspl min $\int g''^2$ subject to $|g(t_i)-z_i| \le \epsilon$
c90diff Cullinan 90 $l_2$ subject to r-th diff not changing sign often
r80exp Ruhe 80 semi-infinite programming for sum of exponentials
b82rr Beatson 82 staying within upper and lower bounds
or86conf O'Leary Rust 86 confidence intervals for l2 with x>0
sh87pos Schmidt Hess 87 positive rational quadratic $C^1$ interpolant
sh88pos Schmidt Hess 88 positive cubic $C^1$ interpolant
oo88obst Opfer Oberle 88
dr89mono Dauner Reinsch 89 adds knots
cross-sec cross sections
spectral-data given Fourier series coefficients, as in crystallography
derivdata derivative data
intdata integral data
missing missing data
gradient given gradients, get surface; ``shape from shading''
directions given only gradient directions
potential potential, stream function
dz90dir David Zucker 90 sum elongated gaussians
w84sph Wahba 84 cross validation
ab91pot Amodei Benbourhim 91 fund. solution of iterated lapalacian, GCV
hist given integrals over small subintervals
flux given flux, get velocities
moments given moments
t88stat Thisted 88 section 4.7
spec-rat rational in cos, sin
spec-spline spectral spline
c88specrat Charron 88 like Osborne exponential fitting
g86spec Grosse 86 interpolation of Fourier series data
ds83cross Dierckx Suetens 83 tensor splines
l86set Levin 86 set-valued
gmp87sph Gmelig Meylin Pfluger 87 star-like object
s90cross Schumaker 90 interp in z, polygonalize, connect
epo91cross Ekoule Peyrin Odet 91
bs91cross Baszenski Schumaker 91 random edge swap, take good ones eventually
recontour blending methods
hb86grad Horn Brooks 86 computer vision; parallel iterative methods
l88grad Lee 88 discrete smoothing splines
cfg88grad Coughran Fichtner Grosse 88 tensor spline by conjugate gradient
bs87hist Baszenski Schumaker 87 smoothing spline, variable order
su88hist Sakai Usmani 88 shape preserving, rational
s92hist Schmidt 92 l2 smoothing with convexity by quadratic program
h87flux Handscomb 84 given integral of flux on rectangular cell edges
fgm87moment Frontini Gautschi Milovanovic 87 spline
frs88moment Frontini Rodriguez Seatzu 88 Legendre, regularization
s91moment Sablonniere 91 intermediate between Lagrange and Bernstein
v87tls Van Huffel 87 tests and speedups of total least squares
hs87prin Hastie Stuetzle 87 parametric scatterplot smooth
bdbs89odr Boggs Donaldson Byrd Schnabel 87 orthogonal distance regression
ms90odr Marin Smith 90 Hoschek algorithm
t91prin Tibshirani 91 parametric scatterplot smooth
jf87li Jing Fam 87
w88compl Watson 88 l-infinity complex function
Remez Remez exchange
li-l2 approximation by $l_2$ solution
li-over overdetermined linear system
li-under underdetermined linear system
diffcor differential correction
Hankel Hankel norm (``CF'' or ``AAK'' approximation)
t86cf Trefethen 86
st89cf Saff Totik 89 polynomial Caratheodory-Fejer fails
r86lil2 Reichel 86 polynomial approximation
bp75li Barrodale Phillips 75
b85licon Brannigan 85
sn82compl Streit Nuttall 82
s85cli Streit 85 complex
tt87li Thiran Thiry 87 canonical decomposition by Gaussian elimination for rank test
a80l1 Abdelmalek 80 overdetermined linear system
br80l1 Barrodale Roberts 80 linear equality and inequality constraints
bc80l1 Bartels Conn 80 overdetermined linear system
cj87l1 Cox Jones 87 spline l1 fitting, shape preserving
m87conv Madsen 87 min H(f(x)), f smooth, H convex
sumnorms sum of norms
o83sum Overton 83 sum 2norm(A_i x - b_i) "multifacility location"
g90sum Gurwitz 90 sum w_i abs( x - x_i )
minlen $L_2$ norm of first derivative, ``minimum length''
smoo $L_2$ norm of high derivative
smooj $l_2$ and jumps in high derivative
smoodif jumps in divided difference
smooch choice of smoothing parameter
app-curv weighted norm of second derivative to approximate curvature
plate-energy energy of thin plate
bb83minlen Baker Brolley 83 scale-free version of curve length
ikns88 Iserles Koch Norsett SanzSerna 88
hr73nat Herriot Reinsch 73 natural spline interpolation
hr76nat Herriot Reinsch 76 quintic natural spline
b78s de Boor 78 SMOOTH
imsl imsl/cssmh
d82ten Dierckx 87 netlib/dierckx/smoopy,fitpack (curfit)
w23 Whittaker 23
p70smoo Powell 70
r83band Rice 83 comparison of GCV, Cp, Akaike
r85smoo Ragozin 85 Peetre K-functional
h92reg Hansen 1992 corner in plot of norm(residual) v. seminorm(solution)
GCV generalized cross validation
s84w2nd Salkauskas 84 interpolation and piecewise constant weight
dt90curv Dudek Tsotsos 90 finite diff estimate for noisy data
qs88thin Quak Schumaker 88 calculating energy for Bernstein-Bezier patch
u81rob Utreras 81 robust splines by penalty function method
chebinterp at Chebyshev points
g78range Gaffney 78 given bound on high deriv, what possible function?
r69af Rivlin, Approximation of Functions, chap. 4
h82essen Henrici 82
s70hau Sendov 70
bwta66 Berger Webster Tapia Atkins 66 second derivative of spline * second difference of data > 0
mn87fair Meier Nowacki 87 square of second or even higher derivatives
ws88weight Wolke Schwetlick 88
t88stat Thisted 88 iteratively reweighted least squares
app-curv weighted norm of second derivative to approximate curvature
periodic periodic
monotone monotone, comonotone
convex convex
one-sided one-sided, non-negative
sconstr specialized constraints
aconstr abstract methods
oo88obst Opfer Oberle 88
branch branching
integer integer
polycon specific to polynomials
ENO ``essentially non-oscillatory'', ``total variation diminishing''
ellipticity ellipticity $\partial_{12}^2 \le \partial_{11}\partial_{22}$
cusp cusp, inflection, self-intersection
dly91reg Dyn Levin Yad-Shalom 91 integer translates of bell-shaped functions
mc91cusp Manocha Canny 91 reparameterization of formal power series
gl81wiggle Gresho Lee 81 why you should be {\em very} careful using these
heoc87eno Harten Engquist Osher Chakravarthy 87
h86eno Harten 86
zd93tvne Zhao Dai 93 C^0 O(h^3) quadratic interpolating endpoint and integral if possible
c87ellip Curtis 87
gh88int Grosse Hobby 88 spline with limited digits for coefficients and knots
sw87branch Silverman Wood 87 several curves required to coincide up to a point
semiinf semi-infinite programming
mu88hilbert Micchelli Utreras 88 orthogonal projection of adjoint interp, dual
r80exp Ruhe 80 semi-infinite programming for sum of exponentials
gr81semi Glashoff Roleff 81 complex
b87semi Bosworth 87 semi-infinite programming
t88remez Tang 88 single-exchange Remez
fm92semi Fischer Modersitzki 92 primal dual method
l83per Lucas 83 add polynomial correction terms to increase convergence order
m86persmoo McDonald 86 scatterplot smooth of $f(\omega t)$
r86perspl Radziewski 86 periodic spline on uniform grid
d87fit Dierckx 87 percur
sb88derper Shelley Baker 88 full-order accurate derivatives
s91bern Stockler 91 multivariate Bernoulli spline
monquad quadratic
moncub cubic
monrat rational quadratic
mono-biv bivariate
mono-other monotone, other forms or general order
cf91mono Carlson Fritsch 91 issues in comonotonicity
r80con Roulier 80 survey
s83mon Schumaker 83
bz85mon Beatson Ziegler 85 bivariate interpolation
gu88shape Goodman Unsworth 88 G^1 Bezier
fc80mono Fritsch Carlson 80
cu80mono Correa Utreras 80 min $\int s''^2$
h83mono Hyman 83
ds85dual Dietze Schmidt 85 dual nonlinear program
v86mono Varas 86 Laurent spline sequence, Gauss Seidel
dd87mono Davis Dowden 87 ``ratio slope method''
dr89mono Dauner Reinsch 89 adds knots
ms97mono Manni Sablonniere 97 local, $C^2 O(h^3)$
moncub4 $O(h^4)$
ejl85mono Eisenstat Jackson Lewis 85 $O(h^4)$ variant of Fritsch Carlson
y87mono Yan 87
bw88mono Beatson Wolkowicz 88 more fit-and-modify algorithms
gm91mono Gasparo Morandi 91 match f, f' and break interval if necessary
dg85rat Delbourgo Gregory 85 C1 rational quadratic interpolation
sh87pos Schmidt Hess 87 positive rational quadratic $C^1$ interpolant
bz85mon Beatson Ziegler 85 bivariate interpolation
cgr86vd Coughran Grosse Rose 86 tensor product of variation diminishing
cf87bimond Fritsch Carlson 85 bivariate interpolation
cf89unimond Fritsch Carlson 89 bivariate interpolation, monotone in one variable
cf90mono Costantini Fontanella 91 hermite data; raise degree until mono
uv91scat Utreras Varas 91 monotone thin plate spline for scattered data
ddm92mono Dahmen DeVore Micchelli 92 subst x=(f(x,1)-f(x,0)-c)/c in bilinear
sh93ratspl Schmidt Hess 93 C^2 rational bicubic
bs77mono de Boor Swartz 77 interpolating spline of arbitrary order, deficiency 1
cgr86vd Coughran Grosse Rose 86 tensor product of variation diminishing
ss86rat Sakai Silanes 86
r87tension Renka 87 choice of tension parameters for shape preservation
cj87l1 Cox Jones 87 B-spline coefficient difference as sufficient condition
r88monospl Ramsey 88 integrals of B-splines, nonnegative coefficients
convquad quadratic
convcub cubic
convsmoo with penalty term for smoothing
conv-other convex, other forms
mr78convex McAllister Roulier 78 convex quadratic by knot insertion
r80con Roulier 80 survey
b82convex Beatson 82 convex quadratic spline
gu88shape Goodman Unsworth 88 G^1 Bezier
b78s de Boor 78 TAUTSP
s87dual Schmidt 87 dual for convex C1 cubic
s91dual Schmidt 91 stay within intervals, min mean curvature
ims86convex Irvine Marin Smith 86 convex spline interpolation and smoothing
ae87convex Andersson Elving 87 interpolation
ea88convex Andersson Elving 87 smoothing by Newton method
n80convex Neuman 80 interpolating spline of arbitrary order, deficiency 1
d80convex Dierckx 80 quadratic programming
cd84conv Chang Davis 84 convexity of Bernstein polynomials on triangles
s84tri Scott 84 checking scattered 2d data for convexity
c87moncon Costantini 86 monotone and/or convex, general degree
r87tension Renka 87 choice of tension parameters for shape preservation
cj87l1 Cox Jones 87 B-spline coefficient difference as sufficient condition
ffj88shape Ferguson Frank Jones 88 convex slices
d91conv Dahmen 91 survey
sh93ratspl Schmidt Hess 93 C^2 rational bicubic
noise recognizing noise
outlier recognizing outliers and influential points
redundancy recognizing redundancy
B-diag diagnostics specific to B-splines
gdiag diagnostic graphics
testing tests, benchmarks
gt74noise Guerra Tapia 74 residual from 6-point spline interpolant
o80der Oliver 80 differentiation of fairly accurate function values
s77stat Seber 77 statistics
m84diag Maindonald 84
g90diag Gu 90 treat as retrospective linear model; compute column cosines
m73Cp Mallows 73 $C_p$ plots to choose subsets in regression
t77eda Tukey Exploratory Data Analysis
ah84micro Alfeld Harris 84 MICROSCOPE plotting to check smoothness
bc87brush Becker Cleveland 87 simultaneous identification in scatterplot matrix
ht88infl Hastie Tibshirani 88 equivalent kernel; eigenfunc of smoother
contouring contouring
irr-cont irregular grid
rect-cont rectangular grid
high-cont higher order than quadratic; general functions
3d-cont contour surfaces for function of three variables
color color spectrum generation
s90contsurv Sabin 90 comprehensive survey
mp76cont Marlow Powell 76 contours of quadratic in triangle
brz76fault Bolondi Rocca Zanoletti 76 slit in thin plate
s80cont Sabin 80 survey
s82cont Schagen 82 intersection with network connecting data
p84cont Preusser 84 solve quintics
d87cont Davis 87 Kansas Geological Survey contour program
wf90cont Worsey Farin 90 allegedly more accurate than Marlow Powell
m74contour McLain 74 distance weighted least squares onto rectangular mesh
s76cont Sutcliffe 76 bug fix to McLain
s78cont Snyder 78 contour following
ss78cont Schultheis Schultheis 78 degeneracies marked by multiple connections
s80contour Stucliffe 80 survey
st81quad Sibson Thomson 81 16-triangle rectangle with linear grad on edges
z88contree Zyda 88 build tree to speed contouring at many levels
f71cont Falconer 71 find intersection on coarse grid; follow by bisection
ga79cont Gray Akin 79 contour following for isoparametric surfaces
cs77byu Christiansen Stephenson 77 MOVIE.BYU
f87cont Farrell 87 color level plots
ppw87cont Petersen Piper Worsey 87 contours of Worsey Farin tetrahedron
r90iso Rockwood 90 guess, de Casteljau, deflation for root finding
g85color Grosse 85 hue correction table
test/data standard test datasets
test/methodology test methodology
test/codes programs to test approximation algorithms
test/eval evaluations of algorithms
a70jacm Akima 70 local average of slopes
p70smoo Powell 70
m74contour McLain 74 distance weighted least squares onto rectangular mesh
l77c1 Lawson 77 swap diagonal in quadrilaterals to max the min angle
a78toms Akima 78 bivariate interpolation
fc80mono Fritsch Carlson 80
f82t Franke 82 tests of scattered data interpolation
fn83disc Franke Nielson 83 adding jumps and creases to Shepard surfaces
ah84micro Alfeld Harris 84 MICROSCOPE plotting to check smoothness
s86ssaf Schryer 86 functions for testing moving knot algorithms
f87energy Fritsch 87 test data
h91test Higham 91 test matrices
cdm79test Crowder Dembo Mulvey 79 describing reproducible experiments
cw80e Cody Waite 80 elefunt,specfun
t90exptest Tang 90 1/500 ulp test for exp, log over full domain
f82t Franke 82 tests of scattered data interpolation
linalg linear algebra
multigrid multigrid
opt optimization
contin continuation, homotopy, surface-surface intersection
arith arithmetic
random random number generators
m87multigrid McCormick(ed) 87
b87multigrid Briggs 87
arith/mp multiple precision
interv interval
b78mp Brent 78 comprehensive Fortran package
s91mp Smith 91 similar to Brent, but with guard digits
interv/arith basic arithmetic and special functions
interv/opt optimization and zero-finding
m79interv Moore 79
y79interv Yohe 79 implementation considerations
r82interv Reinsch 82 from Kahan
r86horner Rokne 86 multivariate Horner centered form
g83perturb Gay 83 nonlin equations
k90intbis Kearfott 90 nonlin equations
lindr driver routine for user-supplied linear basis
linker kernel code
lineq linear equations
linlsq least squares
linpnorm least $p$-norm
dasl DASL/LMFE
imsl imsl/fnlsq
ddhd90 Dongarra DuCroz Hammarling Duff 90 BLAS3
linpack Linpack
gl80sp George Liu 80 sparspak
gv83mc Golub VanLoan 83 Matrix Computations
d84sp see references in Duff 84 sparse direct methods for linear equations
vandermonde solving Vandermonde systems
b78s de Boor 78 BANFAC,BANSLV band elimination without pivoting
dmbs79 Dongarra Moler Bunch Stewart 79
cv88 Coleman Van Loan 88
bp70ten Bjorck Pereyra 70
gp71confl Galimberti Pereyra 71 confluent
be73confl Bjorck Elfving 71 confluent
tg81vander Tang Golub 81 parallel
h88vander Higham 88 extends Bjorck Pereyra to orthogonal polynomials
h90vander Higham 90 advice on which algorithm to use; pitfalls
bh92vander Bartels Higham 92 componentwise perturbations in params and rhs
cr93vander Calvetti Reichel 94 three-term recurrence polynomials
b90sparseqr Barlow 90 structural zeros in sparse QR column updates
linsq/uncon unconstrained
linsq/con constrained
d77l2 Davidon 77 ``online'' algorithm
ps82lsqr Paige Saunders 82 LSQR sparse linear least squares
adr89lsqr Arioli Duff de Rijk 89 sparse direct with iterative refinement
ch90tsvd Chan Hansen 90 fast truncated SVD by rank-revealing QR
b91pivot Bjorck 91 factoring doubled system using Bunch-Kaufman
h91itref Higham 91 sparse direct with iterative refinement
bh91rrqr Bischof Hansen 91 RRQR Chan/Foster with no fill
ge96qr Gu Eisenstat 96 rank estimate and basis of right null space
hh81mp Haskell Hanson 81 Math Prog
gi83qp Goldfard Idnani 83 quadratic programming, implemented by Powell
v85l2 Van Loan 85 sparse LSE
h86bndcls Hanson 86 least squares with bounds and linear constraints
co88conlin Clark Osborne 88 least squares with bounds
bh88lse Barlow Handy 88 equality constraints or heavy weights
db90pnorm Dax Berkowitz 90
b73fmin Brent 73 univariate minimization and zero-finding
dgw81 Dennis Gay Welch 81 Toms NL2SOL
gt82sep Griewank Toint 82 partially separable (sum of finite elements)
ds86group Dennis Steihaug 86 sparse nonlinear l2 by group iterative
varp separable nonlinear least squares
B-spline-zero zeros of splines
rb83contin Rheinboldt Burkardt 83 continuation
wbm87homo Watson Billups Morgan 87 homotopy (continuation) methods
lp91contin Lundberg Poore 91 more steps, fewer newtons per step
surfsurf surface-surface intersection methods
bs93surfsurf Burger Schaback 93 general algorithms and advice
mr77opt Micchelli Rivlin 77 optimal recovery
mm79opt Melkman Micchelli 79 inaccurate data
uffda (no citations at hand, though surely some exist)
references used only in the paperdummy dummy
surveys surveys
h87kens Hand 87 KENS
akdor81 Andrews Klem Davidson O'Malley Rodges 81 decision tree for statistics
r64app Rice 64 book
s85cont Sabin survey
a88interp Alfeld 88 multivariate interpolation survey
fs87bib Franke Schumaker 87 bibliography
t88stat Thisted 88 survey book
dummylib dummylib
dg87netlib netlib
port port
nag nag
dag dag
gams gams
imsl imsl
@art a Haskell, Karen H. and Hanson, Richard J. d 1981 t An Algorithm for Linear Least Squares Problems with Equality and Nonnegativity Constraints j Mathematical Programming v 21 p 98-118 toms/587
@book
a {\sortkey{Boor}}de Boor, Carl
d 1978
t A Practical Guide to Splines
pub Springer
pppack/
@book a Davis, Philip J. and Rabinowitz, Philip d 1984 t Methods of Numerical Integration: Second Edition pub AcadPr
@rep a Fullerton, L. W. d 1980 t A Bibliography on the Evaluation of Mathematical Functions r Comp. Sci. Tech. Rep. 86 i ATT
@rep a Fullerton, L. W. d 1981 t FNLIB r User Manual i ATT fn/
@book a Cody, W. J. and Waite, W. M. d 1980 t Software Manual for the Elementary Functions pub Prentice elefunt/index.html specfun/
@book a Hart, John F. and Cheney, E. W. and Lawson, Charles L. and Maehly, Hans J. and Mesztenyi, Charles K. and Rice, John R. and Thacher, Jr., Henry G. and Witzgall, Christoph d 1968 t Computer Approximations pub Wiley
@art a Dennis, Jr., John E. and Gay, David M. and Welch, Roy E. d 1981 t An Adaptive Nonlinear Least Squares Algorithm j Trans. on Mathematical Software v 7 p 348-368,369-383 port/n2f nsf ...
@art a Jack J. Dongarra and Eric Grosse d 1987 t Distribution of Mathematical Software Via Electronic Mail j CACM v 30 p 403--407 misc/netlib netlib-paper
@art a Cody, W. J. d 1987 t Software for Special Functions j Rend. Sem. Mat. Univers. Politecn. Torino p 92-116 st survey of Amoslib, Calgo, FUNPACK, IMSL, NAG, NUMAL, SFUN/fnlib, SLATEC, SPECFUN, other
@art a Bartels, Richard H. and Conn, Andrew R. and Li, Yuying d 1989 t Primal Methods are Better Than Dual Methods for Solving Overdetermined Linear Systems in the $l_\infty$ Sense? j SINUM v 26 p 696-726
@book a Rivlin, Theodore J. d 1969 t An Introduction to the Approximation of Functions pub Dover
@in
a Cheney, E. W.
d 1986
t Algorithms for Approximation
p 67-80
in Approximation Theory
ser Proceedings of Symposia in Applied Mathematics
v 36
e {\sortkey{Boor}}de Boor, Carl
pub AMS
@art a Malcolm, Michael A. d 1977 t On the Computation of Nonlinear Spline Functions j SINUM v 14 p 254-282 st code listing for uniformly spaced $x_i$
@art a Golomb, Michael and Jerome, Joseph d 1982 t Equilibria of the Curvature Functional and Manifold of Nonlinear Interpolating Spline Curves j SIAM J. on Mathematical Analysis v 13 p 421-458
@phd
a Reinsch, Klaus-Dieter
d 1981
t Numerische Berechnung von Biegelinien in der Ebene
school Institut {f\"ur} Mathematik, Technishen {Universit\"at} {M\"unchen}
@art a Berger, S. A. and Webster, W. C. and Tapia, R. A. and Atkins, D. A. d 1966 t Mathematical Ship Lofting j J. Ship Research v 10 p 203-222
@art a Hardy, R. L. t Multiquadric equations of topography and other irregular surfaces d 1971 j J. Geophys. Res. v 76 p 1905-1919
@art a Franke, R. d 1982 t Scattered Data Interpolation: Tests of Some Methods j Mathematics of Computation v 38 p 181-200
@book
a Lancaster, Peter and {\v Salkauskas}, {K\c estutis}
t Curve and Surface Fitting: An Introduction
d 1986
pub AcadPr
@art a Dunkl, Charles F. d 1987 t Orthogonal Polynomials on the Hexagon j SIAM J. on Applied Mathematics v 47 p 343-351 st lists expansions in monomials
@art
a Schmidt, J. W.
d 1987
t An Unconstrained Dual Program for Computing Convex {$C^1$}-Spline Approximants
j Computing
v 39
p 133-140
st explicit formulas for Newton's method
@art a Graves-Morris, P. R. and Hopkins, T. R. d 1981 t Reliable Rational Interpolation j Numerische Mathematik v 36 p 111-128 st NAG E01RAF, E01RBF
@in
a Graves-Morris, P. R.
d 1981
t Efficient Reliable Rational Interpolation
p 28-63
in {Pad\'e} Approximation and its Applications Amsterdam 1980
e de Bruin, M. G. and van Rossum, H.
pub Springer-Verlag
ser Lecture Notes in Mathematics
v 888
@art a Krogh, F. T. d 1970 t Efficient Algorithms for Polynomial Interpolation and Numerical Differentiation j Mathematics of Computation v 24 p 185-190 st NAG E01AEF, E02AKF, E02AHF, E02AJF
@art
a Paige, Christopher C. and Saunders, Michael A.
d 1982
t {LSQR:} An Algorithm for Sparse Linear Equations and Sparse Least Squares
j TOMS
v 8
p 43-71
linalg/lsqr
@art a Schagen, I. P. d 1986 t Internal Modelling of Objective Functions for Global Optimization j J. of Optimization Theory and Applications v 11 p 345-353 st interpolation by sum of equal-width gaussians; derivatives of penalized surface
@art a Schagen, I. P. d 1984 t Sequential Exploration of Unknown Multi-dimensional Functions as an Aid to Optimization j IMAJNA v 4 p 337-347
@in a Shepard, Donald d 1968 t A Two-Dimensional Interpolation Function for Irregularly-Spaced Data p 517-524 in Proceedings of ACM National Conference
@art a Gordon, W. J. and Wixom, J. A. d 1978 t Shepard's Method of `Metric Interpolation' to Bivariate and Multivariate Interpolation j Mathematics of Computation v 32 p 253-264
@book
a {Numerical Algorithms Group}
d 1984
t NAG Fortran Library Manual Mark 11
@book
e Fox, Phyllis A.
t The {PORT} Mathematical Subroutine Library
d 1984
pub ATT
port/
@book
a IMSL
t {MATH/LIBRARY} User's Manual, Version 1.0
d 1987
@book
a Dongarra, J. J. and Moler, C. B. and Bunch, J. R. and Stewart, G. W.
t {LINPACK} Users' Guide
pub SIAM
d 1979
@art
a Sarraga, Ramon F.
d 1987
t {$G^1$} Interpolation of Generally Unrestricted Cubic {B\'ezier} curves
j CAGD
v 4
p 23-39
st corrected in CAGD 6,167
@art a Nielson, Gregory M. and Ramaraj, Ramamani d 1987 t Interpolation over a Sphere based upon a Minimum Norm Network j CAGD v 4 p 41-57
@art a Nielson, Gregory M. d 1983 t A Method for Interpolating Scattered Data based upon a Minimum Norm Network j Mathematics of Computation v 40 p 253-271
@art a Hoschek, Josef d 1987 t Approximate Conversion of Spline Curves j CAGD v 4 p 59-66
@in a Duff, Tom d 1986 t Splines in Animation and Modeling in State of the Art in Image Synthesis org ACM SIGGRAPH
@rep a Roberts, Kenneth S. and Bishop, Gary and Ganapathy, S. Kicha d 1987 t Smooth Interpolation of Rotational Motions r Technical Report i ATT
@art
a Lee, David
d 1986
t Fast Multiplication of a Recursive Block {Toeplitz} Matrix by a Vector and its Application
j J. of Complexity
v 2
p 295-305
@in a Lee, David and Pavlidis, Theo and Huang, Kai d 1988 t Edge Detection Through Residual Analysis in Proceedings of Computer Vision and Pattern Recognition pub IEEE p 215-222
@art a Fortune, Steve J. d 1987 t A Sweepline Algorithm for Voronoi Diagrams j Algorithmica v 2 p 153-174 voronoi/
@art a Foley, T. A. d 1987 t Interpolation and Approximation of 3-D and 4-D Scattered Data j Comput.\ Math.\ Applic. v 13 p 711-740 ps he promised code, but nothing arrived
@rep a Correa F., Rafael and Utreras D., Florencio d 1980 t A Variational Approach to Monotone Interpolation i Universidad de Chile
@art a Junkins, John L. and Miller, Gary W. and Jancaitis, James R. d 1973 t A Weighting Function Approach to Modeling of Irregular Surfaces j J.\ of Geophysical Research v 78 p 1794-1803
@in a Utreras, F. d 1979 t Cross-Validation Techniques for Smoothing Spline Functions in One and Two Dimensions p 196-232 in Smoothing Techniques for Curve Estimation pub Heidelberg e Gasser and Rosenblatt
@in a Daman, Anne d 1986 t Extensions of Smoothing Spline Methods using Generalized Cross Validation in Approximation Theory V p 311-314 e Chui, C. K. and Schumaker, L. L. and Ward, J. D. pub AcadPr
@art a Scott, David S. d 1984 t The Complexity of Interpolating Given Data in Three Space with a Convex Function of Two Variables j JAT v 42 p 52-36
@art a Farwig, Reinhard t Multivariate Interpolation of Arbitrarily Spaced Data by Moving Least Squares Methods j J. Computational and Applied Mathematics v 16 d 1986 p 79--93
@art
a {\sortkey{Boor}}de Boor, Carl
t Efficient computer manipulation of tensor products
d 1979
j TOMS
v 5
p 173-182
@art a E. H. Grosse t Tensor Spline Approximation j LAA v 34 p 29--41 d 1980 pn netlib/tensor/ imsl/bsls2
@in a Powell, M. J. D. d 1974 t Piecewise Quadratic Surface Fitting for Contour Plotting in Software for Numerical Mathematics e Evans, D. J. pub AcadPr st harwell
@art a Ten Eyck, Lynn F. d 1973 t Crystallographic Fast Fourier Transforms j Acta Crystallographica v A29 p 183-191 st widely distributed in crystallographic community
@rep a Alfeld, Peter and Harris, Bill d 1984 t MICROSCOPE: a Software System for Multivariate Analysis r MRC Technical Summary Report 2701 i University of Wisconsin--Madison microscope/
@art a Foley, Thomas A. t Three-Stage Interpolation to Scattered Data p 141-149 d 1984 j Rocky Mountain J. of Mathematics v 14
@in
a Mansfield, Lois
t Interpolation to Scattered Data in the Plane by Locally Defined {$C^1$} Functions
d 1980
p 623-628
in Approximation Theory III
pub AcadPr
@art a Irvine, Larry D. and Marin, Samuel P. and Smith, Philip W. t Constrained interpolation and smoothing d 1986 j Constructive Approximation v 2 p 129-151 st imsl/cscon
@art a Duff, Iain S. d 1984 t Direct Methods for Solving Sparse Systems of Linear Equations j SISSC v 5 p 605-619 harwell/
@art a Delbourgo, R. and Gregory, J. A. d 1985 t The Determination of Derivative Parameters for a Monotonic Rational Quadratic Interpolant j IMAJNA v 5 p 397-406
@art a Beatson, R. K. d 1982 t Monotone and Convex Approximation by Splines: Error Estimates and a Curve Fitting Algorithm j SINUM v 19 p 1278-1285
@art a Hagen, Hans t Geometric Surface Patches Without Twist Constraints d 1986 j CAGD v 3 p 179-184
@art a Wahba, Grace d 1975 t Smoothing noisy data by spline functions j Numerische Mathematik v 24 p 383-393 st imsl/csscv
@in a Brannigan, M. t Criteria for Adaptive Approximation d 1983 in Approximation Theory IV e Chui, C. K. and Schumaker, L. L. and Ward, J. D. pub AcadPr p 381-386
@in a Baszenski, G. and Posdorf, H. and Delvos, F. J. d 1980 t Representation Formulas for Conforming Bivariate Interpolation in Approximation III pub AcadPr p 193-198
@art
a Melkes, F.
t Reduced Piecewise Bivariate {{Hermite}} Interpolation
j Numerische Mathematik
v 19
p 326-340
d 1972
@in a Sibson, R. t A Brief Description of Natural Neighbor Interpolation d 1981 p 21-36 in Interpreting Multivariate Data e Barnett, V. pub Wiley ps 4000 line Fortran code; expensive
@in
a Lawson, C. L.
t Software for {$C^1$} Surface Interpolation
p 161-194
in Mathematical Software III
e Rice, John R.
pub AcadPr
d 1977
@in a Clough, R. W. and Tocher, J. L. d 1965 t Finite Element Stiffness Matrices for Analysis of Plates in Bending in Proceedings of Conference on Matrix Methods in Structural Mechanics org Air Force Institute of Technology, Wright-Patterson A.F.B., Ohio
@in a Farin, Gerald d 1983 t Smooth Interpolation to Scattered $3$D Data in Surfaces in CAGD e Barnhill, R. E. and Boehm, W. org Oberwohlfach pub NHolland
@art
a Bernadou, Michel and Hassan, Kamal
d 1981
t Basis Functions for General {Hsieh-Clough-Tocher} Triangles, Complete or Reduced
j IJNME
v 17
p 784-789
@art a Nielson, Gregory M. t The Side-Vertex Method for Interpolation in Triangles d 1979 j JAT v 25 p 318-336
@art a Barnhill, R. E. and Birkhoff, G. and Gordon, W. J. t Smooth Interpolation in Triangles d 1973 j JAT v 8 p 114-128
@art
a {\sortkey{Boor}}de Boor, Carl and Rice, John R.
d 1979
t An Adaptive Algorithm for Multivariate Approximation Giving Optimal Convergence Rates
j JAT
v 25
p 337-359
@art a Lee, E. H. and Forsythe, G. E. t Variational Study of Nonlinear Spline Curves d 1973 j SIREV v 15 p 120-133
@art a Hutchinson, M. F. d 1986 t Algorithm 642: A Fast Procedure for Calculating Minimum Cross Validation Cubic Smoothing Splines j TOMS v 12 p 150-153 toms/642 (CUBGCV)
@art
a O'Sullivan, Finbarr
t Comments on {Dr. Silverman's} Paper
j J. Royal Statistical Society B
d 1985
v 47
p 39-40
gcv/sbart.r
@art
a Woltring, H.J.
d 1986
t A {FORTRAN} Package for Generalized, Cross-Validatory Spline Smoothing and Differentiation
j Advances in Engineering Software
v 8
p 104-113
gcv/gcvspl
@art a Bates, D. M. and Lindstrom, M. J. and Wahba, G. and Yandell, B. t GCVPACK - Routines for Generalized Cross Validation d 1987 j Commun. Statist. Simul. Comput. v 16 p 263-297 gcv/gcvpack
@art a Cleveland, William S. and Devlin, Susan J. and Grosse, Eric t Regression by Local Fitting: Methods, Properties, and Computational Algorithms d 1988 j J. Econometrics v 37 p 87-114 a/loess
@art a J. H. Friedman and E. H. Grosse and W. Stuetzle t Multidimensional Additive Spline Approximation j SISSC v 4 p 291--301 d 1983 st MASA
@art a Utreras, Florencio I. t On Computing Robust Splines and Applications d 1981 j SISSC v 2 p 153-163
@art a Marin, Samuel P. d 1983 t An Approach to Data Parametrization in Parametric Cubic Spline Interpolation Problems j JAT v 41 p 64-86
@in a Bank, R. E. and Sherman, A. H. and Weiser, A. d 1983 t Refinement Algorithms and Data Structures for Regular Local Mesh Refinement in Scientific Computing e Stepleman, R and others pub NHolland p 3-17
@art a Breiman, L. and Friedman, J. H. d 1985 t Estimating Optimal Transformations for Correlation and Regression j JASA v 80 p 580-598 st statlib/general/ace
@art a Cleveland, W. S. d 1979 t Robust Locally-Weighted Regression and Smoothing Scatterplots j JASA v 74 p 829-836 go/lowess
@in a Friedman, J. H. d 1979 t A Tree-Structured Approach to Nonparametric Multiple Regression in Smoothing Techniques for Curve Estimation e Gasser, T. and Rosenblatt, M. pub Springer p 5-22 st CART
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@art a Reichel, Lothar d 1986 t Some Computational Aspects of a Method for Rational Approximation j SISSC v 7 p 1041-1057
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@art a Kaufman, Linda d 1975 t A Variable Projection Method for Solving Separable Nonlinear Least Squares Problems j BIT v 15 p 49-57 port/nsf nsg
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@art a Akima, Hiroshi d 1978 t A Method of Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points j TOMS v 4 p 148-159 toms/526 imsl/surf
@in a Sabin, M. A. t Non-Rectangular Surface Patches Suitable for Inclusion in a B-Spline Surface d 1983 p 57-69 in Eurographics '83 e ten Hagen, P. J. W. pub Elsevier org Eurographics Association
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@book a Alfeld, Peter d 1987--1988 t The Multivariate Spline Newsletter pub Dept. Mathematics, Univ. Utah, Salt Lake City UT 84112
@art a Lucas, Thomas R. d 1974 t Error Bounds for Interpolating Cubic Splines Under Various End Conditions j SINUM v 11 p 569-579
@art
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@art a Clenshaw, C. W. and Hayes, J. G. d 1965 t Curve and Surface Fitting j J. of the Institute of Mathematics and its Applications v 1 p 164-183 st DASL/T1FCE, NAG/E02CAF
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t Shape Preserving Spline Approximation in the {$l_1$}-norm
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d 1987
in Algorithms for Approximation
e Mason, J. C. and Cox, M. G.
pub Clarendon Press, Oxford
st DASL/planned
@in a Cox, M. G. d 1987 t Data Approximation by Splines in One and Two Variables p 111-138 in The State of the Art in Numerical Analysis e Iserles, A. and Powell, M. J. D. pub Oxford Univ. Press
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t The {National Physical Laboratory's} Data Approximation Subroutine Library
p 669-687
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e Mason, J. C. and Cox, M. G.
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st DASL
@art a Barnhill, R. E. and Gregory, J. A. d 1975 t Polynomial Interpolation to Boundary Data on Triangles j Mathematics of Computation v 29 p 726-735
@in a Gansner, E. R. and North, S. C. and Vo, K. P. d 1990 t DAG - A Program for Drawing Directed Graphs p 147-162 in Unix Research System Papers, Tenth Edition, Volume II pub Saunders College Publishing
@in a Barnhill, Robert E. d 1977 t Representation and Approximation of Surfaces p 69-120 in Mathematical Software III pub AcadPr
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@art a McLain, D. H. d 1974 t Drawing Contours from Arbitrary Data Points j Computer J. v 17 p 318-324 st Algol listings; see also Sutcliffe
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@art a Lane, Jeffrey M. and Riesenfeld, Richard F. d 1980 t A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces j IEEE PAMI v PAMI-2 p 35-46
@rep
a Frey, William H.
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t A Useful Variant of {McLaughlin's} Interpolant
r GMR-5004
i General Motors Research Laboratories
@art a McLaughlin, H. W. d 1983 t Shape-Preserving Planar Interpolation j IEEE Computer Graphics and Applications v 3 p 58-67
@in a Dyn, Nira and Levin, David d 1981 t Bell-Shaped Basis Functions for Surface Fitting p 113-129 in Approximation Theory and Applications e Ziegler, Zvi pub AcadPr
@rep a Gottlieb, David and Tadmor, Eitan d 1985 t Recovering Pointwise Values of Discontinuous Data within Spectral Accuracy i ICASE r Report No. 85-3 pub NASA
@art a Oliver, J. d 1980 t An Algorithm for Numerical Differentiation of a Function of One Real Variable j J. of Computational and Applied Mathematics v 6 p 145-160 st ``Algorithm 017'' Algol listing
@art
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ps Fortran subroutine package?
@art a Houghton, Elizabeth G. and Emnett, Robert F. and Factor, James D. and Sabharwal, Chaman L. d 1985 t Implementation of a Divide-and-Conquer Method for Intersection of Parametric Surfaces j CAGD v 2 p 173-183
@art a Carlson, R. E. and Fritsch, F. N. d 1988 t An Algorithm for Monotone Piecewise Bicubic Interpolation j SINUM v 26 p 230-238 ps ehg/a/bimond
@art a Franke, Richard d 1985 t Thin Plate Splines with Tension j CAGD v 2 p 87-95
@art a Gregory, John A. d 1985 t Interpolation to Boundary Data on the Simplex j CAGD v 2 p 43-52
@art a Mansfield, L. d 1976 t Interpolation to Boundary Data in Tetrahedra with Applications to Compatible Finite Elements j J. Mathematical Analysis and Applications v 56 p 137-164
@art
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@art a Gmelig Meyling, R. H. J. and Pfluger, P. R. d 1987 t B-Spline Approximation of a Closed Surface j IMAJNA v 7 p 73-96
@rep a Warren, Joe D. d 1986 t On Algebraic Surfaces Meeting with Geometric Continuity r TR 86-770 i Dept. Computer Science, Cornell University
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pppack/newnot
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i ATT
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bln 422061M 518/B238m:E mh
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toms/624
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@art a Dennis, Jr., J. E. and Steihaug, Trond d 1986 t On the Successive Projections Approach to Least-Squares Problems j SINUM v 23 p 717-733
@phd a Van Huffel, Sabine d 1987 t Analysis of the Total Least Squares Problem and its Use in Parameter Estimation school Katholieke Universiteit Leuven vanhuffel/
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a Sp{\"a}th, H.
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@rep a Boisvert, Ronald F. and Howe, Sally E. and Kahaner, David K. d 1984 t Guide to Available Mathematical Software r NBSIR 84-2824 i US Department of Commerce, National Bureau of Standards
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a {Harwell Laboratory, Computer Science and Systems Division}
d 1987
t Harwell Subroutine Library
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@book
a {Digital Signal Processing Committee}
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ps netlib/dsp/ (AT&T only, because IEEE holds copyright)
bln 621.3804301/I22p 174043C
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@book a Brent, Richard d 1973 t Algorithms for Minimization Without Derivatives pub Prentice go/fmin.f zeroin.f
@art a Fritsch, F. N. and Butland, J. d 1984 t A Method for Constructing Local Monotone Piecewise Cubic Interpolants j SISSC v 5 p 300-304 slatec/src/
@book a George, A. and Liu, J. W. H. d 1980 t Computer Solution of Large Sparse Positive Definite Systems pub Prentice sparspak/
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bmp/
@art a Beatson, R. K. and Ziegler, Z. d 1985 t Monotonicity Preserving Surface Interpolation j SINUM v 22 p 401-411 a/beatson
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a Dietze, Siegfried and Schmidt, Jochen W.
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t Determination of Shape Preserving Spline Interpolants with Minimal Curvature via Dual Programs
i Technische Universit{\"a}t Dresden
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t A Trivariate {Clough-Tocher} Scheme for Tetrahedral Data
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t A Multivariate Analog of {Marsden's} Identity and a Quasi-Interpolation Scheme
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j Constructive Approximation
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@art a Chung, K. C. and Yao, T. H. d 1977 t On Lattices Admitting Unique Lagrange Interpolations j SINUM v 14 p 735-743
@art a Grandine, Thomas Allan d 1987 t The Computational Cost of Simplex Spline Functions j SINUM v 24 p 887-890
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@art a Weiser, Alan and Zarantonello, Serge E. t A Note on Piecewise Linear and Multilinear Table Interpolation in Many Dimensions d 1988 j Mathematics of Computation v 50 p 189-196
@art a Silverman, B. W. and Wood, J. T. d 1987 t The Nonparametric Estimation of Branching Curves j J. of the American Statistical Association v 82 p 551-558
@art a Swarztrauber, Paul N. d 1979 t On the Spectral Approximation of Discrete Scalar and Vector Functions on the Sphere j SINUM v 16 p 934-949
@art a Swarztrauber, Paul N. d 1981 t The Approximation of Vector Functions and Their Derivatives on the Sphere j SINUM v 18 p 191-210
@in a Golub, G. H. and LeVeque, R. J. d 1979 t Extensions and Uses of the Variable Projection Algorithm for Solving Nonlinear Least Squares Problems in Proceedings of the Army Numerical Analysis and Computers Conference, ARO Rep. 79-3 p 1-12 opt/varp2
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@book a Bose, N. K. d 1985 t Digital Filters: Theory and Applications pub NHolland st short Fortran listings
@in a Marsaglia, George d 1985 t A Current View of Random Number Generators in Computer Science and Statistics: The Interface e Billard, L. p 3-10 pub NHolland
@in a Rice, John d 1983 t Methods for Bandwidth Choice in Nonparametric Kernel Regression p 186-190 in Computer Science and Statistics: 15th Interface e Gentle, James E. pub NHolland
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@in a Frederickson, P. O. d 1971 t Quasi-Interpolation, Extrapolation and Approximation on the Plane in Conference on Numerical Mathematics p 159-167
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@book a Rice, John R. d 1964 t The Approximation of Functions pub A-W
@art a Dierckx, Paul d 1982 t A Fast Algorithm for Smoothing Data on a Rectangular Grid While Using Spline Functions j SINUM v 19 p 1286-1304 dierckx/smoopy.f fitpack(curfit)
@art a Dierckx, Paul d 1981 t An Algorithm for Surface Fitting with Spline Functions j IMAJNA v 1 p 267-283 dierckx/
@art a Dierckx, Paul d 1977 t An Algorithm for Least-Squares Fitting of Cubic Spline Surfaces to Functions on a Rectilinear Mesh Over a Rectangle j JCAM v 3 p 113-129
@art a McAllister, D. F. and Roulier, J. A. d 1978 t Interpolation by Convex Quadratic Splines j Mathematics of Computation v 32 p 1154-1162 toms/574
@art a Beatson, R. K. d 1982 t Restricted Range Approximation by Splines and Variational Inequalities j SINUM v 19 p 372-380
@art a Fritsch, F. N. and Carlson, R. E. t Monotone Piecewise Cubic Interpolation d 1980 j SINUM v 17 p 238-246
@art a Hyman, James M. d 1983 t Accurate Monotonicity Preserving Cubic Interpolation j SISSC v 4 p 645-654
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@art a Schumaker, Larry L. and Utreras, Florencio d 1988 t Asymptotic Properties of Complete Smoothing Splines and Applications j SISSC v 9 p 24-38
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@art a Dierckx, P. d 1980 t Algorithm 42: An Algorithm for Cubic Spline Fitting with Convexity Constraints j Computing v 24 p 349-371 dierckx/fitpack (cocosp, concon), concon
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toms/676
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a Duris, Charles S.
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t {Fortran} Routines for Discrete Cubic Spline Interpolation and Smoothing
j TOMS
v 6
p 92-103
toms/547
@art
a Fornberg, Bengt
d 1981
t {CPSC:} Complex Power Series Coefficients
j TOMS
v 7
p 542-547
toms/579
@art a Hemmerle, William J. d 1982 t A Comprehensive, Matrix-Free Algorithm for Analysis of Variance j TOMS v 8 p 383-401 toms/591
@art a Brezinski, G. d 1982 t A Subroutine for the General Interpolation and Extrapolation Problems j TOMS v 8 p 290-301 toms/585
@art a Fuchs, H. and Kedem Z. M. and Uselton, S. P. d 1977 t Optimal Surface Reconstruction from Planar Contours j CACM v 20 p 693-702
@book a Tapia, R. A. and Thompson, J. R. d 1978 t Nonparametric Probability Density Estimation pub Johns Hopkins University Press, Baltimore Maryland
@art a Rice, John R. d 1978 t ADAPT, Adaptive Smooth Curve Fitting j TOMS v 4 p 82-94 toms/525
@art a Wilson, D. G. d 1976 t Piecewise Linear Approximations to Tabulated Data j TOMS v 2 p 388-391 toms/510
@art a Herriot, John G. and Reinsch, Christian H. d 1973 t Procedures for Natural Spline Interpolation j CACM v 16 p 763-768 toms/472
@art a Herriot, John G. and Reinsch, Christian H. d 1976 t Procedures for Quintic Natural Spline Interpolation j TOMS v 2 p 281-289 toms/507
@art
a Simpson, Joseph C.
d 1976
t {Fortran} Translation of Algorithm 409, Discrete {Chebyshev} Curve Fit
j TOMS
v 2
p 95-97
toms/501
@art
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t Solution of an Overdetermined System of Linear Equations in the {Chebyshev} Norm
j TOMS
v 1
p 264-270
toms/495
@art a Lyche, T. and Schumaker, L. d 1975 t Local Spline Approximation Methods j JAT v 15 p 294-325
@art a Ellis, R. M. R. and McLain, D. H. d 1977 t A New Method of Cubic Curve Fitting Using Local Data j TOMS v 3 p 175-178 toms/514 algol listing
@art a Ichida, Kozo and Kiyono, Takeshi and Yoshimoto, Fujiichi d 1977 t Curve Fitting by a One-Pass Method With a Piecewise Cubic Polynomial j TOMS v 3 p 164-174
@art a Roulier, John A. d 1980 t Constrained Interpolation j SISSC v 1 p 333-344
@art a Ewen-Smith, B. M. d 1971 t Algorithm for the Production of Contour Maps from Linearized Data j Nature v 234 p 33-34
@art a Weisfeld, Morris d 1959 t Orthogonal Polynomials in Several Variables j Numerische Mathematik v 1 p 38-40
@book a Box, George E. P. and Draper, Norman R. t Empirical Model-Building and Response Surfaces pub Wiley d 1987
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@art
a Chang, Geng-zhe and Davis, Philip J.
d 1984
t The Convexity of {Bernstein} Polynomials over Triangles
j JAT
v 40
p 11-28
@book a Henrici, Peter d 1986 t Applied and Computational Complex Analysis v 3 pub Wiley
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a Trefethen, Lloyd N.
d 1986
t Matlab Programs for {CF} Approximation
in Approximation Theory V
e Chui, C. K. and Schumaker, L. L. and Ward, J. D.
pub AcadPr
p 599-602
@art
a P. E. Bj{\o}rstad and E. H. Grosse
t Conformal Mapping of Circular Arc Polygons
d 1987
j SISSC
v 8
p 19-32
conformal/cap
@art
a P. E. Bj{\o}rstad and G. Dahlquist and E. H. Grosse
t Extrapolation of Asymptotic Expansions by a Modified {A}itken $\delta^2$-Formula
j BIT
v 21
p 56--65
d 1981
@art a Coughran, Jr., William M. and Grosse, Eric and Rose, Donald J. t Variation Diminishing Splines in Simulation d 1986 j SISSC v 7 p 696--705 port/vdss1.f vdss2,vdss3
@art a Brenda Baker and Eric Grosse and Conor Rafferty t Non-obtuse Triangulation of Polygons j J. Discrete and Computational Geometry v 3 p 147-168 d 1988
@in a Grosse, Eric d 1986 t Spectral Spline Approximation p 363-366 in Approximation Theory V e Chui, C. K. and Schumaker, L. L. and Ward, J. D. pub AcadPr st crysalis, available from author
@art a Schumaker, L. L. d 1983 t On Shape Preserving Quadratic Spline Interpolation j SINUM v 20 p 854-864
@art a O'Sullivan, Finbarr d 1988 t Fast Computation of Fully Automated Log-Density and Log-Hazard Estimators j SISSC v 9 p 363-379
@art
a {\sortkey{Nurnberger}}N{\"u}rnberger, G. and Sommer, M. and Strauss, H.
d 1986
t An Algorithm for Segment Approximation
j Numerische Mathematik
v 48
p 463-477
@in a Micchelli, C. A. and Rivlin, T. J. d 1977 t A Survey of Optimal Recovery in Optimal Estimation in Approximation Theory e Micchelli, C. A. and Rivlin, T. J. pub Plenum Press p 1-53
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a Melkman, Avraham A. and Micchelli, Charles A.
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t Optimal Estimation of Linear Operators in {Hilbert} Spaces from Inaccurate Data
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v 16
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a Kammler, David W.
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@art a Sidi, Avram and Ford, William F. and Smith, David A. d 1986 v 23 j SINUM t Acceleration of Convergence of Vector Sequences p 178-196
@art a Dierckx, P. d 1984 t Algorithms for Smoothing Data on the Sphere with Tensor Product Splines j Computing v 32 p 319-342 dierckx/smosph
@art a Baumgardner, John R. and Frederickson, Paul O. t Icosahedral Discretization of the Two-Sphere d 1985 j SINUM v 22 p 1107-1115
@art a Eisenstat, S. C. and Jackson, K. R. and Lewis, J. W. d 1985 v 22 j SINUM p 1220-1237 t The Order of Monotone Piecewise Cubic Interpolation
@art
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t The Discrete {$k$}-Functional and Spline Smoothing of Noisy Data
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v 22
p 1241-1254
@art a Yserentant, H. t Hierarchical Bases of Finite-Element Spaces in the Discretization of Nonsymmetric Elliptic Boundary Value Problems d 1985 j Computing v 35 p 39-49
@art a Van Loan, Charles d 1985 t On the Method of Weighting for Equality-Constrained Least-Squares Problems j SINUM v 22 p 851-864
@art
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t A Characterization of Certain {$C^1$} Discrete Triangular Interpolants
j SINUM
v 22
p 811-819
d 1985
@art a Alfeld, Peter t Multivariate Perpendicular Interpolation d 1985 j SINUM v 22 p 95-106
@art
a Busch, J. R.
t Osculatory Interpolation in {$\IR^n$}
d 1985
j SINUM
v 22
p 107-113
@art
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t Discrete {Chebyshev} Approximation with Linear Constraints
d 1985
j SINUM
v 22
p 1-15
@art
a Dahmen, Wolfgang A. and Micchelli, Charles A.
t On the Linear Independence of Multivariate {B}-Splines, 1. Triangulations of Simploids
p 993-1012
j SINUM
v 19
d 1982
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a Dahmen, W. and Micchelli, C.
t Numerical Algorithms for Least Squares Approximation by Multivariate {B}-Splines
d 1981
in Numerical Methods of Approximation Theory
v 6
e Collatz, L. and Meinardus, G. and Werner, H.
pub Birkh{\"a}user Verlag
@art
a H{\"o}llig, Klaus
t Multivariate Splines
p 1013-1031
j SINUM
v 19
d 1982
@art a Clark, D. I. and Osborne, M. R. d 1988 t On Linear Restricted and Interval Least-Squares Problems j IMAJNA v 8 p 23-36
@art a Cuyt, A. d 1987 t A Recursive Computation Scheme for Multivariate Rational Interpolants j SINUM v 24 p 228-239
@art a Griewank, A. and Toint, Ph. L. d 1982 t Partitioned Variable Metric Updates for Large Structured Optimization Problems j Numerische Mathematik v 39 p 119-137 st harwell/ve08ad formerly pspmin
@art a Kaufman, Jr., E. H. and Taylor, G. D. d 1988 t Infinite-Interval Nonlinear Approximations j Constructive Approximation v 4 p 211-221
@art a Cuyt, Annie d 1988 t A Multivariate qd-Like Algorithm j BIT v 28 p 98-112
@art a Briggs, Ian C. d 1974 t Machine Contouring Using Minimum Curvature j Geophysics v 39 p 39-48
@art a Dierckx, P. d 1986 t The Spectral Approximation of Bicubic Splines on the Sphere j SISSC v 7 p 611-623
@art a Joe, Barry d 1986 t Delaunay Triangular Meshes in Convex Polygons j SISSC v 7 p 514-539
@book a Henrici, Peter t Essentials of Numerical Analysis with Pocket Calculator Demonstrations pub Wiley d 1982
@art a Dyn, Nira and Levin, David and Rippa, Samuel d 1986 t Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions j SISSC v 7 p 639-659
@art a McDonald, John Alan d 1986 t Periodic Smoothing of Time Series j SISSC v 7 p 665-688
@art a O'Leary, Dianne P. and Rust, Bert W. d 1986 t Confidence Intervals for Inequality-Constrained Least Squares Problems, With Applications to Ill-Posed Problems j SISSC v 7 p 473-489
@art
a Foley, Thomas A.
t Interpolation with Interval and Point Tension Controls Using Cubic Weighted {$\nu$}-Splines
d 1987
j TOMS
v 13
p 68-96
@art a Foley, Thomas A. t A Shape Preserving Interpolant with Tension Controls d 1988 j CAGD v 5 p 105-118
@art
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t A Package for Computing Trigonometric {Fourier} Coefficients Based on {Lyness's} Algorithm
j TOMS
v 13
p 97-107
toms/649
@in a Swarztrauber, Paul N. d 1982 t Vectorizing the FFTs p 51-83 in Parallel Computations e Rodrigue, Garry pub AcadPr fftpack/
@book a Hamming, R. W. d 1973 t Numerical Methods for Scientists and Engineers, Second Edition pub McGraw-Hill, New York
@book a Cuyt, Annie and Wuytack, Luc t Nonlinear Methods in Numerical Analysis d 1987 pub NHolland ps Studies in Computational Mathematics 1; North-Holland Mathematics Studies 136
@art a Ramsey, Jim t Monotone Splines in Action j Statistical Science d 1988 p to appear
@rep a Dierckx, P. d 1987 t FITPACK User Guide, Part 1: Curve Fitting Routines i Katholieke Universiteit Leuven r Report TW89 dierckx/
@art
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t Inserting New Knots into {B}-Spline Curves
j Computer Aided Design
v 12
d 1980
p 199-201
dierckx/ (insert)
@art
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t The Calculation of Indefinite Integrals of {B}-Splines
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v 17
p 37-41
dierckx/ (splint)
@in a Anthony, Gerald T. and Cox, Maurice G. t The Fitting of Extremely Large Data Sets by Bivariate Splines p 5-20 d 1987 in Algorithms for Approximation e Mason, J. C. and Cox, M. G. pub Oxford Univ. Press
@in a Dahmen, W. t Subdivision Algorithms - Recent Results, Some Extensions and Further Developments p 21-49 d 1987 in Algorithms for Approximation e Mason, J. C. and Cox, M. G. pub Oxford Univ. Press
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t A Discrete Approach to Knot Removal and Degree Reduction Algorithms for Splines
p 67-82
d 1987
in Algorithms for Approximation
e Mason, J. C. and Cox, M. G.
pub Oxford Univ. Press
a/datred.uu
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a Gmelig Meyling, R. H. J.
t On Algorithms and Applications for Bivariate {B}-Splines
p 83-93
d 1987
in Algorithms for Approximation
e Mason, J. C. and Cox, M. G.
pub Oxford Univ. Press
@art a Zyda, Michael J. d 1988 t A Decomposable Algorithm for Contour Surface Display Generation j TOMS v 7 p 129-148
@art a Snyder, William V. d 1978 t Contour Plotting j TOMS v 4 p 290-294 toms/531
@art a Farrell, E. J. d 1987 t Visual Interpretation of Complex Data j IBM Systems J. v 26 p 174-200
@rep a Grosse, Eric t Colors for Level Plots d 1985 i ATT r Numerical Analysis Manuscript 85-1 graphics/rainbow.c
@art a Sibson, Robin and Thomson, Graeme D. t A Seamed Quadratic Element for Contouring d 1981 j Computer J v 24 p 378-382
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d 1987
t Contour Mapping and {SURFACE II}
j Science
v 237
p 669-672
st commercial; see note 10 in article
@art a Sutcliffe, D. C. d 1976 t A Remark on a Contouring Algorithm j Computer J v 19 p 3-333-335 st Algol bug fix to McLain
@art a Schagen, I. P. d 1982 t Automatic Contouring from Scattered Data Points j Computer J v 25 p 7-11
@in a Sutcliffe, D. C. d 1980 t Contouring over Rectangular and Skewed Rectangular Grids -- An Introduction p 39-62 in Mathematical Methods in Computer Graphics and Design e Brodlie, K. W. pub AcadPr
@art a Schultheis, Hildegard and Schultheis, R. d 1978 t Algorithm 35: An Algorithm for Non-Smoothing Contour Representations of Two-Dimensional Arrays j Computing v 19 p 381-387 st Fortran listing
@art a Gray, W. H. and Akin, J. E. d 1979 t An Improved Method for Contouring on Isoparametric Surfaces j IJNME v 14 p 451-458
@art a Epstein, M. P. t On the Influence of Parametrization in Parametric Interpolation d 1976 j SINUM v 13 p 261-268
@art
a Agarwal, Ramesh C. and Cooley, James W. and Gustavson, Fred G. and Shearer, James B. and Slishman, Gordon and Tuckerman, Bryant
d 1986
t New Scalar and Vector Elementary Functions for the {IBM} {System/370}
j IBM J. Research and Development
v 30
p 126-144
@in a Gal, Shmuel d 1985 t Computing Elementary Functions: a New Approach for Achieving High Accuracy and Good Performance p 1-16 in Accurate Scientific Computations e Miranker, Willard L. and Toupin, Richard A. pub Springer ser LNCS 235
@art a Mitchell, Don P. d 1987 t Generating Antialiased Images at Low Sampling Densities j Computer Graphics (SIGGRAPH) v 21 p 65-72
@art a Pratt, Vaughan d 1987 t Direct Least-Squares Fitting of Algebraic Surfaces j Computer Graphics (SIGGRAPH) v 21 p 145-152
@in
a Christiansen, H. N. and Stephenson, M. B.
d 1977
t {MOVIE.BYU} --- A General Purpose Computer Graphics Display System
p 759-768
in Applications of Computer Methods in Engineering, Vol. II
e Wellford, Jr., L. Carter
pub University of Southern California
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a Gonska, Heinz H. and Meier, Jutta
t A bibliography on Approximation of Functions by {Bernstein} Type Operators (1955-1982)
d 1983
in Approximation Theory IV
e Chui, C. K. and Schumaker, L. L. and Ward, J. D.
pub AcadPr
p 739-785
@art
a Pavlidis, Theodosios
t Polygonal Approximations by {Newton's} Method
d 1977
j IEEE Transactions on Computers
v C-26
p 800-807
@rep a Dierckx, P. and Suetens, P. d 1983 t A Fast Algorithm for Surface Reconstruction from Planar Contours Using Tensor Product Splines i Katholieke Universiteit Leuven (Belgium) r Report TW64 dierckx/
@art a Dierckx, P. t An Algorithm for Fitting Data on a Circle Using Tensor Product Splines d 1986 j J. Computational and Applied Mathematics v 15 p 161-173 dierckx/
@in a Dierckx, P. t Fast Algorithms for Smoothing Data over a Disc or a Sphere Using Tensor Product Splines p 51-65 d 1987 in Algorithms for Approximation e Mason, J. C. and Cox, M. G. pub Oxford Univ. Press dierckx/
@book e Farlow, Stanley J. t Self-Organizing Methods in Modeling pub Marcel Dekker, New York d 1984 st SAS listing on pp.305--314
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a Trefethen, L. N. and Gutknecht, M. H.
t {Pad\'e}, Stable {Pad\'e}, and {Chebyshev}-{Pad\'e} Approximation
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in Algorithms for Approximation
e Mason, J. C. and Cox, M. G.
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@art a Becker, Richard A. and Cleveland, William S. t Brushing Scatterplots j Technometrics v 29 d 1987 p 127-142 st dynam
@in a Breuer, P. T. t A New Method for Real Rational Uniform Approximation p 265-283 d 1987 in Algorithms for Approximation e Mason, J. C. and Cox, M. G. pub Oxford Univ. Press
@rep a Falconer, K. J. d 1971 t A General Purpose Algorithm for Contouring over Scattered Data Points r NAC6 i National Physical Laboratory st NAG/J06GFF
@in a Dunham, C. B. t Rationals with Repeated Poles p 285-291 d 1987 in Algorithms for Approximation e Mason, J. C. and Cox, M. G. pub Oxford Univ. Press
@in a Madsen, K. t General Algorithms for Discrete Non-Linear Parameter Estimation p 309-326 d 1987 in Algorithms for Approximation e Mason, J. C. and Cox, M. G. pub Oxford Univ. Press
@art a Ruhe, Axel t Fitting Empirical Data by Positive Sums of Exponentials d 1980 j SISSC v 1 p 481-498
@art a Kautsky, J. and Nichols, N. K. t Equidistributing Meshes with Constraints d 1980 j SISSC v 1 p 497-511
@in a Watson, G. A. t Data Fitting by Positive Sums of Exponentials p 337-356 d 1987 in Algorithms for Approximation e Mason, J. C. and Cox, M. G. pub Oxford Univ. Press
@in a Schumaker, L. L. t Numerical Aspects of Spaces of Piecewise Polynomials on Triangulations p 373-406 d 1987 in Algorithms for Approximation e Mason, J. C. and Cox, M. G. pub Oxford Univ. Press
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@art a Coughran, Jr., W. M. and Fichtner, W. and Grosse, Eric t Extracting Transistor Charges from Device Simulations by Gradient Fitting j IEEE Transactions on Computer Aided Design v to appear d 1988
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a Meinardus, {G\"unter}
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@in a Nielson, G. M. d 1974 t Some Piecewise Polynomial Alternatives to Splines Under Tension in CAGD e Barnhill, R. E. and Riesenfeld, R. F. p 209-235 pub AcadPr
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d 1976
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st harwell/ob14a
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@art a Yerry, Mark A. and Shephard, Mark S. d 1983 t A Modified Quadtree Approach to Finite Element Mesh Generation j IEEE CGA v 3 p 39-46
@art
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t An Algorithm for Best Uniform Approximation by Splines with Fixed Knots
p 263-266
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in Approximation Theory V
e Chui, C. K. and Schumaker, L. L. and Ward, J. D.
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ps sounds messy
@in a Foley, Thomas A. t A Triangular Surface Patch with Optimal Error Bounds p 343-346 d 1986 in Approximation Theory V e Chui, C. K. and Schumaker, L. L. and Ward, J. D. pub AcadPr
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t An Iterative Method for Solving Linear Equations Based on Minimun Norm {Pick}-{Nevanlinna} Interpolation
p 371-374
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@in a Mason, J. C. and Opfer, G. t An Algorithm for Complex Polynomial Approximation with Nonlinear Constraints p 471-474 d 1986 in Approximation Theory V e Chui, C. K. and Schumaker, L. L. and Ward, J. D. pub AcadPr
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t Numerical Experiments with Cubic {$C^1$}-Spline Functions
p 475-478
d 1986
in Approximation Theory V
e Chui, C. K. and Schumaker, L. L. and Ward, J. D.
pub AcadPr
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a Nienhaus, Helmut
t A {$C^1$}-Conforming Finite Element of the Extended {Melkes} Family
p 503-506
d 1986
in Approximation Theory V
e Chui, C. K. and Schumaker, L. L. and Ward, J. D.
pub AcadPr
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a {\sortkey{Nurnberger}}N{\"u}rnberger, G.
t Chebyshev Approximation by Splines with Free Knots and Computation
p 511-514
d 1986
in Approximation Theory V
e Chui, C. K. and Schumaker, L. L. and Ward, J. D.
pub AcadPr
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a Radziewski, Karin von
t On Periodic {{Hermite}} Spline Interpolation
p 531-534
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in Approximation Theory V
e Chui, C. K. and Schumaker, L. L. and Ward, J. D.
pub AcadPr
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a Wall, Karin and Danielsson, {Per-Erik}
d 1984
t A Fast Sequential Method for Polygonal Approximation of Digitized Curves
j Computer Vision, Graphics, and Image Processing
v 28
p 220-227
ps available from Henry Baird, who got it from ...
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a Varas, {Mar\'\i a} Leonor
t A Modified Dual Algorithm for the Computation of the Monotone Cubic Spline
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@in a Bosworth, Ken W. t Shape Constrained Curve and Surface Fitting p 247-263 in Geometric Modeling: Algorithms and New Trends e Farin, Gerald E. pub SIAM d 1987
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t The Rational {B\'ezier} Representation for Conics
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t Energy Comparisons of {Wilson}-{Fowler} Splines with Other Interpolating Splines
p 185-201
in Geometric Modeling: Algorithms and New Trends
e Farin, Gerald E.
pub SIAM
d 1987
@in a Jensen, Thomas t Assembling Triangular and Rectangular Patches and Multivariate Splines p 203-220 in Geometric Modeling: Algorithms and New Trends e Farin, Gerald E. pub SIAM d 1987
@in a Nielson, Gregory M. t A Transfinite, Visually Continuous, Triangular Interpolant p 235-246 in Geometric Modeling: Algorithms and New Trends e Farin, Gerald E. pub SIAM d 1987
@in a Barnhill, Robert E. and Piper, Bruce R. and Rescorla, Kim L. t Interpolation to Arbitrary Data on a Surface p 281-289 in Geometric Modeling: Algorithms and New Trends e Farin, Gerald E. pub SIAM d 1987
@in a Chandru, Vijaya and Kochar, Bipin S. t Analytic Techniques for Geometric Intersection Problems p 305-318 in Geometric Modeling: Algorithms and New Trends e Farin, Gerald E. pub SIAM d 1987
@in a Rockwood, Alyn P. and Owen, John C. t Blending Surfaces in Solid Modeling p 367-383 in Geometric Modeling: Algorithms and New Trends e Farin, Gerald E. pub SIAM d 1987
@in a Petersen, Carl S. and Piper, Bruce R. and Worsey, Andrew J. t Adaptive Contouring of a Trivariate Interpolant p 385-395 in Geometric Modeling: Algorithms and New Trends e Farin, Gerald E. pub SIAM d 1987
@art a Barlow, Jesse L. and Handy, Susan L. t The Direct Solution of Weighted and Equality Constrained Least-Squares Problems d 1988 p 704-716 j SISSC v 9
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d 1988
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p 728-746
@art a Grosse, Eric and Hobby, John t Improved Rounding for Spline Coefficients and Knots d 1994 j Mathematics of Computation
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@art a Goldfarb, D. and Idnani, A. d 1983 t A Numerically Stable Dual Method for Solving Strictly Convex Quadratic Programs j Mathematical Programming v 27 p 1-33 st imsl/qprog (Powell)
@rep a Guerra, V. and Tapia, R. A. d 1974 t A Local Procedure for Error Detectoion and Data Smoothing r MRC Technical Summary Report 1452 i Mathematics Research Center, University of Wisconsin, Madison st imsl/cssed ps see imsl manual, 546-549
@art a Call, E. S. and Judd, F. F. d 1974 t Surface Fitting by Separation j JAT v 12 p 283-290
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@book a Davis, Philip J. d 1975 t Interpolation and Approximation pub Dover
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d 1972
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j Numerische Mathematik
v 18
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@in a Gutknecht, Martin H. t Two Applications of Periodic Splines d 1980 p 467-472 in Approximation Theory III pub AcadPr
@art a Pereyra, V. and Scherer, G. d 1973 t Efficient Computer Manipulation of Tensor Products with Applications to Multidimensional Approximation j Mathematics of Computation v 27 p 595-605
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@art
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@art a Forsythe, George E. d 1957 t Generation and Use of Orthogonal Polynomials for Fitting Data with a Digital Computer j SIAM J. on Applied Mathematics v 5 p 74-88 st imsl/opoly
@art a Bergholm, Fredrik d 1987 t Edge Focusing j IEEE PAMI v 9 p 726-741
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@book a Goldstine, Herman H. t A History of Numerical Analysis from the 16th through the 19th Century pub Springer d 1977 st Gauss
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@art
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t {HOMPACK:} A Suite of Codes for Globally Convergent Homotopy Algorithms
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toms/652 netlib/hompack/
@art a Bartels, Richard H. and Jezioranski, John J. d 1985 t Least-Squares Fitting Using Orthogonal Multinomials j TOMS v 11 p 201-217 toms/634
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@rep a Egecioglu, Omer and Gallopoulos, E. and Koc, Cetin K. d 1987 t Fast and Practical Parallel Polynomial Interpolation i Center for Supercomputing Research and Development, University of Illinois at Urbana-Champaign r report 646
@book a Ascher, Uri M. and Mattheij, Robert M. M. and Russell, Robert D. t Numerical Solution of Boundary Value Problems for Ordinary Differential Equations d 1988 pub Prentice
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@art a Shampine, L. F. d 1975 t Discrete Least Squares Polynomial Fits j CACM v 18 p 179-180 st imsl/rcurv
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a Conte, S. D. and {\sortkey{Boor}}de Boor, Carl
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conformal/scpack scdoc sclib
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j Numerische Mathematik
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@art a Frey, A. E. and Hall, C. A. and Porsching, T. A. d 1978 t Some Results on the Global Inversion of Bilinear and Quadratic Isoparametric Finite Element Transformations j Mathematics of Computation v 32 p 725-749
@art a Rentrop, P. d 1980 t An Algorithm for the Computation of the Exponential Spline j Numerische Mathematik v 35 p 81-93
@rep a Alfeld, Peter d 1988 t Scattered Data Interpolation in Three or More Variables i Department of Mathematics, University of Utah
@art
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d 1977
t Piecewise Monotone Interpolation
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v 21
p 411-416
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a Neuman, Edward
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t Convex Interpolating Splines of Arbitrary Degree
p 211-222
in Numerical Methods of Approximation Theory
v 5
e Collatz, L. and Meinardus, G. and Werner, H.
pub Birkh{\"a}user Verlag
@art
a Jing, Zhongqi and Fam, Adly T.
d 1987
t An Algorithm for Computing {Chebyshev} Approximations
j Mathematics of Computation
v 48
p 691-710
@art a Yan, Zheng d 1987 t Piecewise Cubic Curve Fitting Algorithm j Mathematics of Computation v 49 p 203-213 ps superseded by gm91mono ?
@art a Chui, Charles K. and Diamond, Harvey and Raphael, Louise A. d 1988 t Interpolation by Multivariate Splines j Mathematics of Computation v 51 p 203-218
@art
a {\sortkey{Daehlen}}D{\ae}hlen, Morten and Lyche, Tom
d 1988
t Bivariate Interpolation with Quadratic Box Splines
j Mathematics of Computation
v 51
p 219-230
@art a Adjerid, Slimane and Flaherty, Joseph E. d 1988 t Second-Order Finite Element Approximations and a posteriori Error Estimation for Two-Dimensional Parabolic Systems j Numerische Mathematik v 53 p 183-198
@art a Davidon, William C. d 1977 t Fast Least-Squares Algorithms j American J. of Physics v 45 p 260-262
@art a Whittaker, E. T. d 1923 t On a New Method of Graduation j Edinburgh Mathematical Society Proceedings v 41 p 63-75
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a Mason, J. C.
d 1981
t Some Applications and Drawbacks of {Pad\'e} Approximants
in Approximation Theory and Applications
pub AcadPr
@art
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d 1987
t Uniformly High Order Accurate Essentially Non-oscillatory Schemes, {III}
j J. Computational Physics
v 71
p 231-303
@art
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d 1983
t A {Remez} Type Algorithm for Spline Functions
j Numerische Mathematik
v 41
p 117-146
@art
a Streit, R. L. and Nuttall, A. H.
d 1982
t A General {Chebyshev} Complex Function Approximation Procedure and an Application to Beamforming
j J. of the Acoustical Society of America
v 72
p 181-190
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a Glashoff, K. and Roleff, K.
d 1981
t A New Method for {Chebyshev} Approximation of Complex-Valued Functions
j Mathematics of Computation
v 36
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d 1979
t Efficient {$L_2$} Approximation by Splines
j Numerische Mathematik
v 33
p 101-114
@art
a Fischer, Bernd and Reichel, Lothar
d 1988
t {Newton} Interpolation in {Fej\'er} and {Chebhyshev} Points
j Mathematics of Computation
v in press
@art a Reichel, Lothar d 1984 t An Asymptotically Orthonormal Polynomial Family j BIT v 24 p 647-655
@book a Coleman, Thomas F. and Van Loan, Charles d 1988 t Handbook for Matrix Computations pub SIAM
@book a Thisted, Ronald A. d 1988 t Elements of Statistical Computing: Numerical Computation pub Chapman and Hall, New York
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@art a Sakai, Manabu and Usmani, Riaz A. d 1988 t A Shape Preserving Area True Approximation of Histogram by Rational Splines j BIT v 28 p 329-339
@art
a Schmidt, Jochen W. and {He\ss}, Walter
d 1988
t Positivity of Cubic Polynomials on Intervals and Positive Spline Interpolation
j BIT
v 28
p 340-352
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a {M\"uhlbach}, G.
d 1988
t On Multivariate Interpolation by Generalized Polynomials on Subsets of Grids
j Computing
v 40
p 201-215
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a Charron, R. J.
d 1988
t Adapting Rational Approximants for {Fourier} Series to Data Representation Problems
j Computing
v 40
p 217-228
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d 1988
t A Modified {Remes} Algorithm
j SISSC
v 9
p 1058-1072
@art a Eubank, R. L. d 1988 t Optimal Grouping, Spacing, Stratification, and Piecewise Constant Approximation j SIAM Review v 30 p 404-420
@art a Opfer, G. and Oberle, H. J. d 1988 t The Derivation of Cubic Splines with Obstacles by Methods of Optimization and Optimal Control j Numerische Mathematik v 52 p 17-31
@art
a {\sortkey{Boor}}de Boor, Carl and H{\"o}llig, Klaus and Sabin, Malcolm
d 1987
t High Accuracy Geometric {Hermite} Interpolation
j CAGD
v 4
p 269-278
@art a Hoschek, J. d 1988 t Intrinsic Parameterization for Approximation j CAGD v 5 p 27-31
@art a Bajaj, C. L. and Hoffmann, C. M. and Lynch, R. E. and Hopcroft, J. E. H. d 1988 t Tracing Surface Intersections j CAGD v 5 p 285-307
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@art a Boissonnat, Jean-Daniel d 1988 t Shape Reconstruction from Planar Cross Sections j CVGIP v 44 p 1-29
@art a Berrut, J.-P. d 1988 t Rational Functions for Guaranteed and Experimentally Well-Conditioned Global Interpolation j Computers and Mathematics with Applications v 15 p 1-16
@art a Beatson, R. K. and Chacko, E. d 1992 t Which Cubic Spline Should One Use? j SISSC v 13 p 1009-1024
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d 1988
t Triangulation of Scattered Data in {3D} Space
j Computer Aided Design
v 20
p 239-248
@in a Preparata, Franco P. and Tamassia, Roberto d 1988 t Fully Dynamic Techniques for Point Location and Transitive Closure in Planar Sturctures in 29th Annual Symposium on Foundations of Computer Science pub IEEE p 558-567
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a Dempster, A. P. and Laird, N. M. and Rubin, D. B.
d 1977
t Maximum Likelihood from Incomplete Data via the {EM} Algorithm
j J. Royal Statistical Society, Series B
v 39
p 71-107
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a Akaike, H.
d 1973
t Information Theory and an Extension of Maximum Likelihood Principle
p 267-281
in 2nd International Symposium on Information Theory
e Petrov, B. N. and Cs{\'a}ki, F.
pub Akademia Kiad{\'o}, Budapest
@in a Lee, David d 1988 t Coping with Discontinuities in Computer Vision: their Detection, Classification, and Measurement in Proc. 2nd International Conference on Computer Vision
@art
a Grandine, Thomas A.
d 1987
t An Iterative Method for Computing Multivariate {$C^1$} Piecewise Polynomial Interpolants
j CAGD
v 4
p 307-319
@art a Meier, H. and Nowacki, H. d 1987 t Interpolating Curves with Gradual Changes in Curvature j CAGD v 4 p 297-305
@art a Dyn, Nira and Levin, David and Gregory, John A. d 1987 t A 4-Point Interpolatory Subdivision Scheme for Curve Design j CAGD v 4 p 257-268
@art
a Frontini, Marco and Gautschi, Walter and Milovanovi{\'c}, Gradimir V.
d 1987
t Moment-Preserving Spline Approximation on Finite Intervals
j Numerische Mathematik
v 50
p 503-518
@art
a Sakai, Manabu and Silanes, M. C. L{\'o}pez de
d 1986
t A Simple Rational Spline and its Application to Monotonic Interpolation to Monotonic Data
j Numerische Mathematik
v 50
p 171-182
@art
a Gmelig Meyling, R. H. J.
d 1987
t Approximation by Cubic {$C^1$}-Splines on Arbitrary Triangulations
j Numerische Mathematik
v 51
p 65-85
@art a Gutknecht, Martin H. d 1987 t Attenuation Factors in Multivariate Fourier Analysis j Numerische Mathematik v 51 p 615-629
@art
a Thiran, J. P. and Thiry, S.
d 1987
t Strict {Chebyshev} Approximation for General Systems of Linear Equations
j Numerische Mathematik
v 51
p 701-725
@art
a Schmidt, J. W. and {He\ss}, W.
d 1987
t Positive Interpolation with Rational Quadratic Splines
j Computing
v 38
p 261-267
@art
a Delvos, F.-J.
d 1987
t {Bernoulli} Functions and Periodic {B}-Splines
j Computing
v 83
p 23-31
@art a Kallay, Michael d 1986 t Plane Curves of Minimal Energy j TOMS v 12 p 219-222
@art
a Ruas, Vitoriano
d 1988
t A Quadratic Finite Element Method for Solving Biharmonic Problems in {$\IR^n$}
j Numerische Mathematik
v 52
p 33-43
@art
a Jing, Zhongqi and Fam, Adly T.
d 1987
t An Algorithm for Computing Continuous {Chebyshev} Approximations
j Mathematics of Computation
v 48
p 691-710
@art
a Boyse, John W. and Gilchrist, Jack E.
d 1982
t {GMSolid:} Interactive Modeling for Design and Analysis of Solids
j IEEE CGA
v March
p 27-40
@rep a Curtis, A. R. d 1987 t Discretisation of the Zonally-Averaged Transport Equation for Use in Global Atmosphereic Pollution Studies i Computer Science and Systems Division, Harwell Laboratory r AERE R 12524
@rep a Yandell, Brian S. d 1987 t Block Diagonal Smoothing Splines i Dept. Statistics, University of Wisconsin r TR 812
@in
a H{\"o}llig, Klaus
d 1986
t Multivariate Splines
p 103-127
in Proceedings of Symposia in Applied Mathematics
pub AMS
@art a Davis, M. and Dowden, J. d 1987 t Interpolation by a Local Taut Cubic Piecewise Polynomial j Computing v 38 p 299-313 st Fortran listing
@art a Fox, A. d 1986 t Implementation and Relative Efficiency of Quasirandom Sequence Generators j TOMS v 12 p 362-372 toms/647
@in a Lee, David d 1988 t Algorithms for Shape from Shading and Occluding Boundaries in Proc. IEEE Computer Society Conf. on Computer Vision and Pattern Recognition p 478-485
@rep a Bruckstein, Alfred M. and Netravali, Arun N. d 1988 t On Minimal Energy Trajectories i ATT
@art a Schumaker, Larry L. d 1983 t On Hyperbolic Splines j JAT v 38 p 144-166
@art a Micchelli, Charles A. and Prautzsch, Hartmut d 1987 t Computing Surfaces Invariant under Subdivision j CAGD v 4 p 321-328
@art
a Shirman, Leon A. and S{\'e}quin, Carlo H.
d 1987
t Local Surface Interpolation with {Bezier} Patches
j CAGD
v 4
p 279-295
@in
a Harten, Ami
d 1986
t Preliminary Results on the Extension of {ENO} Schemes to Two-Dimensional Problems
p 23-40
in Nonlinear Hyperbolic Problems
e Carasso, C. and Raviart, P.-A. and Serre, D.
pub Springer
ser LNM 1270
@art a Field, David A. d 1983 t Algorithms for Determining Invertible Two- and Three-Dimensional Quadratic Isoparametric Finite Element Transformations j IJNME v 19 p 789-802
@art a Citipitioglu, Ergin d 1983 t Universal Serendipity Elements j IJNME v 19 p 803-810
@art
a Bos, L. P.
t Bounding the {Lebesgue} Function for {Lagrange} Interpolation in a Simplex
d 1983
j JAT
v 38
p 43-59
@art a Koparkar, P. A. and Mudur, S. P. d 1983 t A New Class of Algorithms for the Processing of Parametric Curves j CAD v 15 p 41-45 st Pascal listings
@art
a Wang, C. Y.
d 1983
t {$C^1$} Rational Interpolation Over an Arbitrary Triangle
j CAD
v 15
p 33-36
@art a Lucas, Thomas R. d 1983 t A Posteriori Improvements for Interpolating Periodic Splines j Mathematics of Computation v 40 p 243-251
@art a Pavlidis, T. d 1983 t Curve Fitting with Conic Splines j TOG v 2 p 1-31
@in a Pratt, V. d 1985 t Techniques for Conic Splines in Computer Graphics (SIGGRAPH) pub ACM
@art a Schonfelder, J. L. and Razaz, M. d 1980 t Error Control with Polynomial Approximations j IMAJNA v 1 p 105-114
@art
a Neuman, Edward
d 1981
t Moments and {Fourier} Transforms of {B}-Splines
j JCAM
v 7
p 51-
@art a Ting, B. Y. and Luke, Y. L. d 1981 t Conversion of Polynomials between Different Polynomial Bases j IMAJNA v 1 p 229-234
@art
a Tang, W. P. and Golub, G. H.
d 1981
t The Block Decomposition of a {Vandermonde} Matrix and its Applications
j BIT
v 21
p 505-517
@in a Micchelli, Charles A. and Wahba, Grace d 1981 t Design Problems for Optimal Surface Interpolation p 329-348 in Approximation Theory and Applications e Ziegler, Zvi pub AcadPr
@art a Franke, Richard d 1982 t Smooth Interpolation of Scattered Data by Local Thin Plate Splines j Computers and Mathematics with Applications v 8 p 273-281 st lotps
@art a Nevatia, Ramakant and Binford, Thomas O. d 1977 t Description and Recognition of Curved Objects j Artificial Intelligence v 8 p 77-98
@art a Shelley, M. J. and Baker, G. R. d 1988 t Order-Preserving Approximations to Successive Derivatives of Periodic Functions by Iterated Splines j SINUM v 25 p 1442-1452
@art a Goodman, T. N. T. and Unsworth, K. d 1988 t Shape-Preserving Interpolation by Parametrically Defined Curves j SINUM v 25 p 1453-1465
@art
a Gaffney, P. W.
d 1978
t The Range of Possible Values of {$f(x)$}
j JIMA
v 21
p 211-226
toms/592
@art
a Goldman, Ronald N. and Filip, Daniel J.
d 1987
t Conversion from {B\'ezier} Rectangles to {B\'ezier} Triangles
j CAD
v 19
p 25-27
@book t Finite Element Handbook e Kardestuncer, H. and Norrie, D. H. d 1987 pub McGraw-Hill st chapter 4.5 surveys commercial codes
@rep a Broomhead, D. S. and Lowe, David d 1988 t Radial Basis Functions, Multi-Variable Functional Interpolation, and Adaptive Networks i Royal Signals and Radar Establishment, UK r Memorandum 4148
@book e McCormick, Stephen F. d 1987 t Multigrid Methods pub SIAM
@book a Chui, Charles K. d 1988 t Multivariate Splines pub SIAM
@book e Briggs, William L. d 1987 t A Multigrid Tutorial pub SIAM
@art
a Higham, Nicholas J.
d 1988
t Fast Solution of {Vandermonde}-Like Systems Involving Orthogonal Polynomials
j IMAJNA
v 8
p 473-486
@art a Watson, G. A. t A Method for the Chebyshev Solution of an Overdetermined system of Complex Linear Equations d 1988 j IMAJNA v 8 p 461-471
@art a Art, D. and Gnanadesikan, R. and Kettenring, J. R. t Data-based Metrics for Hierarchical Cluster Analysis j Utilitas Mathematica v 21A d 1982 p 75-99 ps see log, 10 Feb 1989, p.35
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@art a Hand, D. J. d 1987 t A Statistical Knowledge Enhancement System j J. Royal Statistical Society, Series A v 150 p 334-345
@rep a Fritsch, Frederick N. t Monotone Piecewise Cubic Data Fitting p 99-106 d 1990 in Algorithms for Approximation II e Mason, J. C. and Cox, M. G. pub ChapHall st pchip/pchls
@art a Kaufman, Jr., Edwin H. and Taylor, Gerald D. d 1990 t CDFCOR j Theory of Computation and Computational Mathematics v 2 pub Ablex Publishing a/cdfcor.f ps according to email from Taylor, 18 Feb 1989
@rep a Carlson, R. E. and Fritsch, F. N. d 1989 t A Bivariate Interpolation Algorithm for Data Which are Monotone in One Variable i Lawrence Livermore National Laboratory r UCRL-100512 ps submitted to SINUM
@art
a Grossmann, A. and Morlet, J.
d 1984
t Decomposition of {Hardy} Functions into Square Integrable Wavelets of Constant Shape
j SIAM J. on Mathematical Analysis
v 15
p 723-736
@art a Ziv, Abraham d 1983 t A Stable Method for the Evaluation of a Polynomial and of a Rational Function of One Variable j Numerische Mathematik v 41 p 309-319
@art
a Berrut, Jean-Paul
d 1989
t Barycentric Formulae for Cardinal {(SINC-)}Interpolants
j Numerische Mathematik
v 54
p 703-718
st erratum 55,747
@art
a Stenger, F.
d 1981
t Numerical Methods Based on {Whittaker} Cardinal or {SINC}-functions
j SIAM Review
v 23
p 165-224
@art
a Pham, Binh
d 1989
t Conic {B}-Splines for Curve Fitting: A Unifying Approach
j CVGIP
v 45
p 117-125
@art a Berman, Mark d 1989 t Large Sample Bias in Least Squares: Estimators of a Circular Arc Center and Its Radius j CVGIP v 45 p 126-128
@art
a Kehtarnavaz, N. and {\sortkey{Figueiredo}}de Figueiredo, R. J. P.
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p 32-47
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@art
a Storry, D. J. T. and Ball, A. A.
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t Design of an {$n$-sided} Surface Patch from {Hermite} Boundary Data
j CAGD
v 6
p 111-120
@art a Grandine, Thomas A. d 1989 t Computing Zeros of Spline Functions j CAGD v 6 p 129-136
@book a Andrews, Frank M. and Klem, Laura and Davidson, Terrence N. and O'Malley, Patrick M. and Rodgers, Willard L. d 1981 t A Guide for Selecting Statistical Techniques for Analyzing Solcial Science Data, Second Edition pub Institute for Social Research, University of Michigan
@art
a Tang, Ping Tak Peter
d 1989
t Table-Driven Implementation of the Exponential Function in {IEEE} Floating-Point Arithmetic
j TOMS
v 15
p 144-157
st pseudo-code with hex constants
@art a Joe, Barry d 1989 t Three-Dimensional Triangulations from Local Transformations j SISSC v 10 p 718-741 st pseudo-code
@rep a Elhay, Sylvan and Golub, Gene H. and Kautsky, Jaroslav d 1989 t Updating and Downdating of Orthogonal Polynomials with Data Fitting Applications i Stanford Computer Science Dept. r NA-89-04 st explicit
@in a Grosse, Eric t LOESS: Multivariate Smoothing by Moving Least Squares p 299-302 d 1989 in Approximation Theory VI e Chui, C. K. and Schumaker, L. L. and Ward, J. D. pub AcadPr
@art a Cox, Maurice G. and Jones, Helen M. t An Algorithm for Least-Squares Circle Fitting to Data with Specified Uncertainty Ellipses d 1989 j IMAJNA v 9 p 285-298
@art a Dauner, Herbert and Reinsch, Christian H. d 1989 t An Analysis of Two Algorithms for Shape-Preserving Cubic Spline Interpolation j IMAJNA v 9 p 299-314
@art a Pryce, J. D. d 1989 t On the Convergence of Iterated Remeshing j IMAJNA v 9 p 315-335
@in a Schaback, R. t Convergence of Planar Curve Interpolation Schemes d 1989 in Approximation Theory VI e Chui, C. K. and Schumaker, L. L. and Ward, J. D. pub AcadPr
@art a Arioli, M. and Duff, I. S. and de Rijk, P. P. M. d 1989 t On the Augmented System Approach to Sparse Least-Squares Problems j Numerische Mathematik v 55 p 667-684
@book
a Bracewell, Ronald N.
d 1986
t The {Hartley} Transform
pub Oxford University Press, New York
st legal restrictions apply; some say this never beats FFT anyway
@in a Cavendish, James C. and Marin, Samuel P. d 1989 t Feature-Based Design of Automobile Surfaces in Proceedings of the IMA Conference on Mathematics in the Automotive Industry, University of Warwick p to appear pub Oxford University Press e Smith, J. R. st patent pending
@art a Coughran, Jr., William M. and Grosse, Eric d 1989 t A Philosophy for Scientific Computing Tools j SIGNUM Newsletter v 24:2/3 p 2-9
@art a Mitchell, William F. d 1989 t A Comparison of Adaptive Refinement Techniques for Elliptic Problems j TOMS v 15 p 326-347 pltmg/
@art
a Montefusco, Laura Bacchelli and Casciola, Giulio
d 1989
t {$C^1$} Surface Interpolation
j TOMS
v 15
p 365-374
toms/677
@rep a Friedman, Jerome H. d 1988 t Multivariate Adaptive Regression Splines i Stanford University, Dept. Statistics r Tech. Rep. 102 st statlib/general/newmars
@art a Baker, Jr., George A. and Brolley, John E. d 1983 t Deconvolution of Noisy Experimental Data j J. of Computational Physics v 51 p 227-240
@art a Chuang, Jung Hong and Hoffmann, Christoph M. d 1989 t On Local Implicit Approximation and Its Applications j TOG v 8 p 298-324
@art a Carnicer, J. and Gasca, M. d 1990 t Evaluation of Multivariate Polynomials and their Derivatives j Mathematics of Computation v 54:189 p 231-243
@art
a Hastie, Trevor and Tibshirani, Robert
d 1988
t Comment (on paper by {J.} {Ramsey}
j Statistical Science
v 3
p 450-456
@art a Dongarra, Jack J. and Du Croz, Jeremy and Hammarling, Sven and Duff, Iain d 1990 t A Set of Level 3 Basic Linear Algebra Subprograms j TOMS v 16 p 1-17 toms/679
@art a Hansen, Eldon R. and Patrick, Merell L. and Wang, Richard L. C. d 1990 t Polynomial Evaluation with Scaling j TOMS v 16 p 86-93
@in
a Arge, E. and {\sortkey{Daehlen}}D{\ae}hlen, Morten and Lyche, Tom and M{\o}rken, K.
t Constrained Spline Approximation of Functions and Data Based on Constrained Knot Removal
p 4-20
in Algorithms for Approximation II
e Mason, J. C. and Cox, M. G.
pub Chapman and Hall, London
ser Lecture Notes in Mathematics
d 1990
@art
a Kearfott, R. Baker
d 1990
t Preconditioners for the Interval {Gauss-Seidel} Method
j SINUM
v 27
p 804-822
toms/intbis
ps replace this by TOMS citation when available
@art a Yohe, J. M. d 1979 t Implementing Nonstandard Arithmetics j SIAM Review v 21 p 34-56 st augment
@book a Moore, R. E. d 1979 t Methods and Applications of Interval Analysis pub SIAM, Philadelphia
@art
a Rokne, J. G.
d 1986
t Low Complexity {$k$}-dimensional Centered Forms
j Computing
v 37
p 247-253
@art a Gay, David M. d 1983 t Computing Perturbation Bounds for Nonlinear Algebraic Equations j SINUM v 20 p 638-651
@in a Reinsch, Christian d 1982 t A Synopsis of Interval Arithmetic for the Designer of Programming Languages in The Relationship Between Numerical Computaton and Programming Langugaes e Reid, J. K. org IFIP pub North-Holland
@book a Knuth, Donald E. t The Art of Computer Programming, Second Edition, Volume 2 / Seminumerical Algorithms d 1881 pub A-W
@art a Guralnik, G. and Zemach, C. and others d 1985 t An Algorithm for Uniform Random Sampling of Points in and on a Hypersphere j Information Processing Letters v 21 p 17-22
@art a Altman, N. S. d 1988 t Bit-wise Behavior of Random Number Generators j SISSC v 9 p 941-949
@art a Anderson, Stuart L. d 1990 t Random Number Generators on Vector Supercomputers and Other Advanced Architectures j SIREV v 32 p 221-251
@art a Saff, E. B. and Totik, V. d 1989 t Behavior of Polynomials of Best Uniform Approximation j Transactions of the American Mathematical Society v 316 p 567
@in
a Iserles, A. and Koch, P. E. and {N\o rsett}, S. P. and {Sanz-Serna}, J. M.
d 1990
t Orthogonality and Approximation in a {Sobolev} Space
p 117-124
in Algorithms for Approximation II
e Mason, J. C. and Cox, M. G.
pub ChapHall
@in
a Tang, P. T. P.
d 1990
t A Fast Algorithm for Linear Complex {Chebyshev} Approximation
p 265-273
in Algorithms for Approximation II
e Mason, J. C. and Cox, M. G.
pub ChapHall
@in a Quak, E. and Schumaker, L. L. t Calculation of the Energy of a Piecewise Polynomial Surface p 134-143 d 1990 in Algorithms for Approximation II e Mason, J. C. and Cox, M. G. pub ChapHall
@in a Dahmen, W. t A Basis for Certain Spaces of Multivariate Polynomials and Exponentials p 80-98 d 1990 in Algorithms for Approximation II e Mason, J. C. and Cox, M. G. pub ChapHall
@in a Boffey, T. B. and Cox, M. G. and Delves, L. M. and Pursglove, C. J. t Approximation by Spheres p 296-302 d 1990 in Algorithms for Approximation II e Mason, J. C. and Cox, M. G. pub ChapHall
@in a Frontini, M. and Rodriguez, G. and Seatzu, S. t An Algorithm for Computing Minimum Norm Solutions of Finite Moment Problem p 361-386 d 1990 in Algorithms for Approximation II e Mason, J. C. and Cox, M. G. pub ChapHall
@in a Foley, T. A. t Interpolation of Scattered Data ona Spherical Domain p 303-310 d 1990 in Algorithms for Approximation II e Mason, J. C. and Cox, M. G. pub ChapHall
@art a Thakur, Lakshman S. d 1990 t A Direct Algorithm for Optimal Quadratic Splines j Numerishce Mathematik v 57 p 313-332
@rep a Berger, Marsha and Rigoutsos, Isidore d 1990 t An Algorithm for Point Clustering and Grid Generation i New York Univ., Courant Institute r Tech. Rpt. 501
@art a Barnhill, R. E. and Little, F. F. d 1984 t Adaptive Triangular Cubatures j Rocky Mountain J. Mathematics v 14 p 53-75
@art a Dyn, Nira and Levin, David and Rippa, Samuel d 1990 t Data Dependent Triangulations for Piecewise Linear Interpolation j IMAJNA v 10 p 137-154
@art a Nishita, Tomoyuki and Sederberg, Thomas W. and Kakimoto, Masanori d 1990 t Ray Tracing Trimmed Rational Surface Patches j Computer Graphics (SIGGRAPH) v 24 p 337-345
@art
a Loop, Charles and DeRose, Tony
d 1990
t Generalized {B}-Spline Surfaces of Arbitrary Topology
j Computer Graphics (SIGGRAPH)
v 24
p 347-356
@art a Overton, Michael L. d 1983 t A Quadratically Convergent Method for Minimizing a Sum of Euclidean Norms j Mathematical Programming v 27 p 34-63 st author
@art
a Gurwitz, Chaya
d 1990
t Weighted Median Algorithms for {$L_1$} Approximation
j BIT
v 30
p 301-310
@art a Pryce, J. D. d 1984 t A New Measure of Relative Error for Vectors j SINUM v 21 p 202-215
@art
a Markstein, P. W.
d 1990
t Computation of Elementary Functions on the {IBM} {RISC} {System/6000} Processor
j IBM J. Research and Development
v 34
p 111-119
@art a Tang, Ping Tak Peter d 1990 t Accurate and Efficient Testing of the Exponential and Logarithm Functions j TOMS v 16 p 185-200
@art a Crowder, Harlan and Dembo, Ron S. and Mulvey, John M. t On Reporting Computational Experiments with Mathematical Software d 1979 j TOMS v 5 p 193-203
@art
a Preusser, A.
d 1984
t {TRICP}: A Contour Plot Program for Triangular Meshes
j TOMS
v 10
p 473-475
toms/626
@art
a Preusser, A.
d 1990
t {$C^1$}- and {$C^2$}-Interpolation on Triangles with Quintic and Nonic Bivariate Polynomials
j TOMS
v 16
p 253-257
toms/684
@rep a Kulkarni, Rekha and Laurent, Pierre-Jean d 1990 t Q-Splines i Grenoble
@rep a Vavasis, Stephen A. d 1990 t A Note on Wavelet Bases for Two-Dimensional Surfaces i Dept. Computer Science, Cornell Univ. r TR 90-1157
@rep a Beylkin, G. and Coifman, R. and Rokhlin, V. d 189 t Fast Wavelet Transforms and Numerical Algorithms I i Dept. Computer Science, Yale Univ. r Research Report 696 ps Haven't seen this yet, only description in v90wavelet.
@art a Dax, Achiya and Berkowitz, Brian d 1990 t Column Relaxation Methods for Least Norm Problems j SISSC v 11 p 975-989
@art a Schumaker, Larry L. d 1989 t On Super Splines and Finite Elements j SINUM v 26 p 997-1005
@in a Chui, C. K. and Lai, M. L. d 1987 t On Multivariate Vertex Splines and Applications p 19-36 in Topics in Multivariate Approximation e Chui, C. K. and Schumaker, L. L. and Utreras, F. I. pub AcadPr
@art
a Chan, Tony F. and Hansen, Per Christian
d 1990
t Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing {QR}-Factorizations
j SISSC
v 11
p 519-530
@art a Barlow, Jesse L. d 1990 t On the Use of Structural Zeros in Orthogonal Factorization j SISSC v 11 p 600-601
@in a Scarlatos, Lori and Pavlidis, Theo d 1990 t Hierarchical Triangulation Using Terrain Features p 168-175 in Visualization '90 Proceedings e Kaufman, Arie pub IEEE Computer Society
@in
a Fekete, Gy{\"o}rgy
d 1990
t Rendering and Managing Spherical Data with Sphere Quadtrees
p 176-186
in Visualization '90 Proceedings
e Kaufman, Arie
pub IEEE Computer Society
@in a Rockwood, Alyn d 1990 t Accurate Display of Tensor Product Isosurfaces p 353-360 in Visualization '90 Proceedings e Kaufman, Arie pub IEEE Computer Society st author ps f/In/rockwood/
@in
a Seidel, {Hans-Peter}
t Symmetric Algorithms for Curves and Surfaces
p 18-29
in Curves and Surfaces in Computer Vision and Graphics
ser Proc. 1251
d 1990
e Ferrari, Leonard A. and Figueiredo, Rui J. P. de
pub SPIE
@in a Warren, Joe and Lodha, Suresh t Free-form Quadric Surface Patches p 30-40 in Curves and Surfaces in Computer Vision and Graphics ser Proc. 1251 d 1990 e Ferrari, Leonard A. and Figueiredo, Rui J. P. de pub SPIE
@in
a Bajaj, Chanderjit
t {$G^1$} Interpolation using Piecewise Quadric and Cubic Surfaces
p 82-93
in Curves and Surfaces in Computer Vision and Graphics
ser Proc. 1251
d 1990
e Ferrari, Leonard A. and Figueiredo, Rui J. P. de
pub SPIE
@in a Lounsbery, Michael and Loop, Charles and Mann, Stephen and Meyers, David and Painter, James and DeRose, Tony and Sloan, Kenneth t A Testbed for the Comparison of Parametric Surface Methods p 94-105 in Curves and Surfaces in Computer Vision and Graphics ser Proc. 1251 d 1990 e Ferrari, Leonard A. and de Figueiredo, Rui J. P. pub SPIE
@in
a Schumaker, Larry L.
t Reconstruction of {3D} Objects using Splines
p 130-140
in Curves and Surfaces in Computer Vision and Graphics
ser Proc. 1251
d 1990
e Ferrari, Leonard A. and de Figueiredo, Rui J. P.
pub SPIE
@in a Dudek, Gregory and Tsotsos, John t The Decomposition and Representation of Planar Curves Using Curvature-Tuned Smoothing p 142-150 in Curves and Surfaces in Computer Vision and Graphics ser Proc. 1251 d 1990 e Ferrari, Leonard A. and de Figueiredo, Rui J. P. pub SPIE
@in a Manocha, Dinesh and Canny, John F. t Polynomial Parametrizations for Rational Curves p 151-162 in Curves and Surfaces in Computer Vision and Graphics ser Proc. 1251 d 1990 e Ferrari, Leonard A. and de Figueiredo, Rui J. P. pub SPIE
@in a Girard, Didier t From Template Matching to Optimal Approximation by Piecewise Smooth Curves p 174-182 in Curves and Surfaces in Computer Vision and Graphics ser Proc. 1251 d 1990 e Ferrari, Leonard A. and de Figueiredo, Rui J. P. pub SPIE
@in a David, Chantal and Zucker, Steven W. t Computing Global Coverings p 227-241 in Curves and Surfaces in Computer Vision and Graphics ser Proc. 1251 d 1990 e Ferrari, Leonard A. and de Figueiredo, Rui J. P. pub SPIE
@art a Watson, G. A. d 1990 t Chebyshev Approximation to Data by Positive Sums of Exponentials j IMAJNA v 10 p 569-582
@art a Cullinan, M. P. d 1990 t Data Smoothing using Non-negative Divided Differences and $l_2$ Approximation j IMAJNA v 10 p 583-608
@art
a Utreras, Florencio and Varas, M. Leonor
d 1991
t Monotone Interpolation of Scattered Data in {$R^s$}
j Constructive Approximation
v 7
p 49-68
@art
a St{\"o}ckler, Joachim
d 1991
t Multivariate Bernoulli Splines and the Periodic Interpolation Problem
j Constructive Approximation
v 7
p 105-122
@in a Sabin, Malcolm t Sculptured Surface Definitions---A Historical Survey p 285-337 in Computer Graphics Techniques: Theory and Practice e Rogers, David F. and Earnshaw, Rae A. d 1990 pub Springer
@in a Sabin, Malcolm t Interrogation Techniques for Parametric Surfaces p 339-361 in Computer Graphics Techniques: Theory and Practice e Rogers, David F. and Earnshaw, Rae A. d 1990 pub Springer
@in a Pratt, M. J. t Solid Modelling---Survey and Current Research Issues p 363-405 in Computer Graphics Techniques: Theory and Practice e Rogers, David F. and Earnshaw, Rae A. d 1990 pub Springer
@in a Costantini, Paolo and Fontanella, Ferruccio d 1990 t Shape-Preserving Bivariate Interpolation j SINUM v 27 p 488-506 ps tendency toward flat spots; high degree but only $O(h^2)$
@art a Rheinboldt, W. C. and Burkardt, J. V. d 1983 t A Locally Parameterized Continuation Process j TOMS v 9 p 103-113 st contin/dpcon61.f
@art
a Lundberg, Bruce N. and Poore, Aubrey B.
d 1991
t Variable Order {Adams-Bashforth} Predictors with an Error-Stepsize Control for Continuation Methods
j SISSC
v 12
p 695-723
ps wrote Lundberg 21 May 91 for code
@art
a Gal, Shmuel and Bachelis, Boris
d 1991
t An Accurate Elementary Mathematical Library for the {IEEE} Floating Point Standard
j TOMS
v 17
p 26-45
ps coefficients not given
@art a Ekoule, A. B. and Peyrin, F. C. and Odet C. L. d 1991 t A Triangulation Algorithm from Arbitrarily Shaped Multiple Planar Contours j ACM Transactions on Graphics v 10 p 182-199
@art
a Cox, M. G. and Harris, P. M.
d 1991
t The Approximation of a Composite {B\'ezier} Cubic Curve by a Composite {B\'ezier} Quadratic Curve
j IMAJNA
v 11
p 159-180
@book a Farin, Gerald d 1990 t Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide pub AcadPr
@art a Lee, E. d 1989 t Choosing Nodes in Parametric Curve Interpolation j CAD v 21
@art
a Higham, N. J.
d 1990
t Stability Analysis of Algorithms for Solving Confluent {Vandermonde}-like Systems
j SIAM J. Matrix Analysis and Applications
v 11
p 23-41
@art
a Higham, N. J.
d 1991
t A Collection of Test Matrices in {MATLAB}
j TOMS
p to appear
st matlab/linearalgebra/testmatrices
@rep
a Marin, Samuel P. and Smith, Philip W.
d 1990
t Parametric Approximation of Data using {ODR} Splines
r GM Research Labs
@art a Farouki, R. T. and Sakkalis, T. d 1990 t Pythagorean Hodographs j IBM J. Research and Development v 34 p 736-
@art
a {D'Azevedo}, E. F.
d 1991
t Optimal Triangular Mesh Generation by Coordinate Transformation
j SISSC
v 12
p 755-786
@art a Smith, David M. d 1991 t Algorithm 693: A FORTRAN Package for Floating-Point Multiple-Precision Arithmetic j TOMS v 12 p 273-283 toms/693
@rep
a Bj{\"o}rck, Ake
d 1991
t Pivoting and Stability in the Augmented System Method
r Link{\"o}ping University LiTH-MAT-R-1991-30
@art a Schmidt, Jochen W. d 1991 t Convex Interval Interpolation with Cubic Splines, II j BIT v 31 p 328-340
@art
a Lee, S. L. and Phillips, G. M.
d 1991
t Construction of Lattices for {Lagrange} Interpolation in Projective Space
j Constructive Approximation
v 7
p 283-297
@art a Carey, Graham and Dinh, Hung T. d 1985 t Grading Functiions and Mesh Redistribution j SIAMJNA v 22 p 1028-1040
@art a Akima, Hiroshi d 1991 t A Method of Univariate Interpolation that Has the Accuracy of a Third-Degree Polynomial j TOMS v 17 p 341-366 toms/697
@art a Ziv, Abraham d 1991 t Fast Evaluation of Elementary Mathematical Functions with Correctly Rounded Last Bit j TOMS v 17 p 410-423
@rep a Tibshirani, Robert d 1991 t Principal Curves Revisited org University of Toronto
@art
a Higham, Nicholas J.
d 1991
t Iterative Refinement Enhances the Stability of {$QR$} Factorization Methods for Solving Linear Equations
j BIT
v 31
p 447-468
@in
a Alt, Laurent
t Parametrization for Data Approximation
p 1-4
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M{\'e}haut{\'e}}, A. and Schumaker, L. L.
pub AcadPr
@in
a Carlson, R. E. and Fritsch, F. N.
t A Note on Piecewise Monotonic Bivariate Interpolation
p 71-74
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M{\'e}haut{\'e}}, A. and Schumaker, L. L.
pub AcadPr
@in
a Baszenski, G. and Schumaker, Larry L.
t Use of Simulated Annealing to Construct Triangular Facet Surfaces
p 27-32
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M{\'e}haut{\'e}}, A. and Schumaker, L. L.
pub AcadPr
@in
a Amodei, L. and Benbourhim, M. N.
t A Vector Spline Approximation With Application to Meterology
p 5-10
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M{\'e}haut{\'e}}, A. and Schumaker, L. L.
pub AcadPr
@in
a Dahmen, Wolfgang
t Convexity and {Bernstein}-{B\'ezier} Polynomials
p 107-134
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Dedieu, J. P. and Favardin, Ch.
t How to Draw a Curve Using Geometrical Data
p 135-138
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Silbermann, M. J. and Wang, S. Y. and Ferrari, L. A.
t Efficient Computation of Multiple Knots Nonuniform Spline Functions
p 449-452
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Jou, Emery and Han, Weimin
t Elastica and Minimal-Energy Splines
p 247-250
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Koch, Per Erik and Lyche, Tom
t Construction of Exponential Tension {B}-splines of Arbitrary Order
p 255-258
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Rabut, Christophe
t How to Build Quasi-Interpolants: Application to Polyharmonic {B}-Splines
p 391-402
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Sabin, M. A.
t {$\omega$}-Convergence, A Criterion for Linear Approximation
p 415-420
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Quak, Ewald and Schumaker, L. L.
t Least Squares Fitting by Linear Splines on Data Dependent Triangulations
p 387-390
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Powell, M. J. D.
t Univariate Multiquadric Interpolation: Some Recent Results
p 371-382
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Schmitt, Francis and Chen, Xin and Du, Wen-Huik and Sair, Farouk
t Adaptive {$G^1$} Approximation of Range Data Using Triangular Patches
p 433-436
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Sabin, M. A.
t Cubic Recursive Division With Bounded Curvature
p 411-414
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Wahba, Grace
t Multivariate Model Building Wtih Additive Interaction and Tensor Product Thin Plate Splines
p 491-504
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Seidel, H.-P.
t Universal Splines and Geometric Continuity
p 437-444
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Renner, G.
t Polynomial N-sided Patches
p 407-410
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Potier, Christine and Guermah, Mustapha Bel and Vercken, Christine
t Curve Fitting Using {NURBS}
p 367-370
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a M{\o}rken, Knut
t Best Approximation of Circle Segments by Quadratic B\'ezier Curves
p 331-336
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Deshpande, L. N. and Girard, D.
t Fast Computation of Cross-Validated Robust Splines and Other Non-linear Smoothing Splines
p 143-148
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Dyn, N. and Levin, D. and Yad-Shalom, I.
t Regularity Conditions for a Class of Geometrically Continuous Curves and Surfaces
p 169-176
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Manocha, Dinesh and Canny, John F.
t Detecting Cusps and Inflection Points in Curves
p 315-319
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a {Sablonni\`ere}, Paul
t Bernstein-Type Quasi-Interpolants
p 421-426
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a {\sortkey{Mullenheim}}{M\"ullenheim}, G.
t A Procedure for Determining Starting Points for a Surface/Surface Intersection Algorithm
p 337-340
in Curves and Surfaces
d 1991
e Laurent, P. J. and Le {M\'ehaut\'e}, A. and Schumaker, L. L.
pub AcadPr
@in
a Shoemake, Ken
t Faster Fourier Transform
p 368-370
in Graphics Gems {II}
d 1991
e Arvo, James
pub AcadPr
@art a Gopalsamy, S. and Khandekar, Dilip and Mudur, S. P. t A New Method of Evaluating Compact Geometric Bounds for Use in Subdivision Algorithms p 337-356 d 1991 j CAGD v 8
@art a Jensen, T. W. and Petersen, C. S. and Watkins, M. A. t Practical Curves and Surfaces for a Geometric Modeler p 357-369 d 1991 j CAGD v 8
@art
a {\sortkey{Mullenheim}}{M\"ullenheim}, G.
t On Determining Start Points for a Surface/Surface Intersection Algorithm
p 401-408
d 1991
j CAGD
v 8
@art
a Aumann, {G\"unter}
t Interpolation with Developable {B\'ezier} Patches
p 409-420
d 1991
j CAGD
v 8
ps Bill Frey has rewritten this in cleaner form
@art a Hardin, R. H. and Sloane, N. J. A. d 1991 t Computer-generated Minimal (and Larger) Response Surfaces j Technometrics v submitted st gosset (available from authors)
@art
a Augenbaum, J. M. and Peskin, C. S.
t On the Construction of the {Voronoi} Mesh on a Sphere
j Journal of Computational Physics
d 1985
v 59
p 177-192
@art a Sibson, Robin and Stone, G. t Computation of Thin-Plate Splines d 1991 j SISSC v 12 p 1304-1313
@art
a Bischof, Christian H. and Hansen, Per Christian
t Structure-Preserving and Range-Revealing {$QR$}-Factorizations
d 1991
j SISSC
v 12
p 1332-1350
@art a McMahon, John R. and Franke, Richard t Knot Selection for Least Squares Thin Plate Splines d 1992 j SISSC v 13 p 484-498
@art a Micchelli, Charles A. d 1991 t Using the Refinement Equation for the Construction of Pre-Wavelets j Numerical Algorithms v 1 p 75-116
@art a Carlson, B. C. d 1979 t Computing Elliptic Integrals by Duplication j Numerische Mathematik v 33 p 1-16 toms/577
@art a Fair, Wyman G. and Luke, Yudell L. d 1967 t Rational Approximations to the Incomplete Elliptic Integrals of the First and Second Kinds j Mathematics of Computation v 21 p 418-422
@art
a Micchelli, Charles A. and Rabut, Christophe and Utreras, Florencio I.
d 1991
t Using the Refinement Equation for the Construction of Pre-Wavelets {III}: Elliptic Splines
j Numerical Algorithms
v 1
p 331-352
@art
a Rabut, Christophe
d 1992
t Elementary {$m$}-Harmonic Cardinal {B}-Splines
j Numerical Algorithms
v 2
p 39-62
@art
a Rabut, Christophe
d 1992
t High Level {$m$}-Harmonic Cardinal {B}-Splines
j Numerical Algorithms
v 2
p 63-84
@art
a Lai, Ming-Jun
d 1992
t Fortran Subroutines for {B}-nets of Box Splines on Three- and Four-Directional Meshes
j Numerical Algorithms
v 2
p 33-38
numeralgo/na2
@in a Bern, Marshall and Eppstein, David d 1991 t Mesh Generation and Optimal Triangulation in Computing in Euclidean Geometry pub World Scientific Publishing Co.
@in a Fortune, Steven d 1991 t Voronoi Diagrams and Delaunay Triangulations in Computing in Euclidean Geometry pub World Scientific Publishing Co.
@book a Chui, Charles K. d 1992 t An Introduction to Wavelets pub AcadPr
@art
a Temperton, Clive
d 1992
t A Generalized Prime Factor {FFT} Algorithm for Any {$N=2^p 3^q 5^r$}
j SISSC
v 13
p 676-686
@art
a Jetter, Kurt and St{\"o}ckler, Joachim
d 1991
t Algorithms for Cardinal Interpolation using Box Splines and Radial Basis Functions
j Numerische Mathematik
v 60
p 97-114
@art a Schumaker, Larry L. and Traas, Cornelis d 1991 t Fitting Scattered Data on Spherelike Surfaces using Tensor Products of Trigonometric and Polynomial Splines j Numerische Mathematik v 60 p 133-144
@art a Dahmen, Wolfgang and DeVore, Ronald A. and Micchelli, Charles A. d 1992 t On Monotone Extensions of Boundary Data j Numerische Mathematik v 60 p 477-492
@art a Van Barel, Marc and Bultheel, Adhemar d 1992 t A New Formal Approach to the Rational Interpolation Problem j Numerische Mathematik v 62 p 87-122
@art
a Bartels, Sven G. and Higham, Desmond J.
d 1992
t The Structured Sensitivity of {V}andermonde-Like Systems
j Numerische Mathematik
v 62
p 17-33
@art a Anderson, Christopher R. d 1992 t An Implementation of the Fast Multipole Method Without Multipoles j SISSC v 13 p 923-947 st helm2, helm3
@art
a Edelsbrunner, Herbert and Tan, Tiow Seng and Waupotitsch, Roman
d 1992
t An {$O(n^2\log n)$} Time Algorithm for the Minmax Angle Triangulation
j SISSC
v 13
p 994-1008
ps max angle very slightly better than Delaunay
@art
a Vermeulen, A. H. and Bartels, R. H. and Heppler, G. R.
d 1992
t Integrating Products of {B}-Splines
j SISSC
v 13
p 1025-1038
@art a Ala, Seshagiri Rao d 1992 t Performance Anomalies in Boundary Data Structures j IEEE CGA p 49-58
@art a Weiler, K. J. d 1985 t Edge-Based Data Structures for Solid Modeling in Curved-Surface Environments j IEEE CGA v 5:1 p 21-40
@art a Woo, T. C. d 1985 t A Combinatorial Analysis of Boundary Data Structure Schemata j IEEE CGA v 5:3 p 19-27
@art
a Wilson, P. R.
d 1988
t Data Transfer and Solid Modeling
p 217-249
in Geometric Modeling for {CAD} Applications
ed Wozny, M. J. and McLaughlin, H. W. and Encarnacao, J. L.
pub Elsevier
@rep a Dutt, A. and Rokhlin, V. d 1992 t On the Rapid Evaluation of Trigonometric Series i Yale Univ., Computer Science r YALEU/DCS/RR-893 st pseudo-code ps first transform is factor 30 slower than FFT, next is 10 slower
@art
a Tang, Ping Tak Peter
d 1992
t Table-Driven Implementation of the Expm1 Function in {IEEE} Floating-Point Arithmetic
j TOMS
v 18
p 211-222
st pseudo-code with hex constants
@art a Edwards, John A. d 1992 t Exact Equations of the Nonlinear Spline j TOMS 18 p 174-192 st driver for DNSQE from Kahaner Moler Nash ps no real advance I can see
@art
a Dierckx, P. and Van Leemput, S. and Vermeire, T.
d 1992
t Algorithms for Surface Fitting Using {Powell-Sabin} Splines
j IMAJNA
v 12
p 271-299
ps ought to be requested for netlib, when I get email address
@in
a Brunnett, Guido
d 1992
t A New Characterization of Plane Elastica
in Mathematical Methods in {CAGD} and Image Processing
ed Lyche, Tom and Schumaker, L. L.
p 1-15
@art a Beatson, R. K. and Powell, M. J. D. d 1992 t Univariate Multiquadric Approximation: Quasi-Interpolation to Scattered Data j Constructive Approximation v 8 p 275-288 ps if convergence is only slightly better than linear interp, why bother?
@art a Cheng, Fuhua d 1992 t Estimating Subdivision Depths for Rational Curves and Surfaces j ACM TOG v 11 p 140-151
@art a Hoschek, J. and Schneider, F.-J. and Wassum, P. d 1989 t Optimal Approximate Conversion of Spline Surfaces j CAGD v 6 p 293-306
@art a Worsey, A. J. and Farin, G. d 1990 t Contouring a Bivariate Quadratic Polynomial Over a Triangle j CAGD v 7 p 337-351
@art a Beatson, R. K. and Powell, M. J. D. d 1992 t Univariate Interpolation on a Regular Finite Grid by a Multiquadric Plus a Linear Polynomial j IMAJNA v 12 p 107-133
@art a Lasser, D. d 1990 t Visually Continuous Quartics and Quintics j Computing v 45 p 119-129
@art a Gasparo, M. G. and Morandi, R. d 1991 t Piecewise Cubic Monotone Interpolation with Assigned Slopes j Computing v 46 p 355-365
@art a Kalik, K. and Wendland, W. d 1992 t The Approximation of Closed Manifolds by Triangulated Manifolds and the Triangulation of Closed Manifolds j Computing v 47 p 255-275
@art a Schmidt, J. W. d 1992 t Constrained Smoothing of Histograms by Quadratic Splines j Computing v 48 p 97-107
@rep a Fischer, Bernd and Modersitzki, Jan d 1992 t An Algorithm for Complex Linear Approximation Based on Semi-Infinite Programming org University of Hamburg a/coca.shar
@in
a Faraway, Julian J.
d 1990
t Sequential Design for the Nonparametric Regression of Curves and Surfaces
p 104-110
in Computing Science and Statistics, Interface '90
ed Page, Connie and {LePage}, Raoul
pub Springer
@in
a Gu, Chong
d 1990
t Diagostics for Additive Spline Models
p 137-142
in Computing Science and Statistics, Interface '90
ed Page, Connie and {LePage}, Raoul
pub Springer
@art
a Hansen, Per Christian
d 1992
t Analysis of Discrete Ill-Posed Problems by Means of the {L}-Curve
j SIAM Review
v 34
p 561-580
@ms a Waupotitsch, Roman d 1992 t Implementation and Performance Analysis of the MinMax Angle Algorithm org Computer Science, Univ. Illinois, Urbana-Champaign st ftp.ncsa.uiuc.edu/SGI/MinMaxer
@phd a Ruppert, James d 1992 t Results on Triangulation and High Quality Mesh Generation org Computer Science, Univ. California Berkeley st pseudocode on p.60; see also p.81
@art
a Boisvert, Ronald F. and Saunders, Bonita V.
d 1992
t Portable Vectorized Software for {Bessel} Function Evaluation
j TOMS
v 18
p 456-469
@book
a Okabe, Atsuyuki and Boots, Barry and Sugihara, Kokichi
d 1992
t Saptial Tessellations: Concepts and Applications of {Voronoi} Diagrams
pub Wiley
@art
a Lodha, S. and Warren, J.
d 1992
t {B\'ezier} Representation for Cubic Surface Patches
j CAD
v 24
p 643-650
@art a Hoschek, J. d 1992 t Circular Splines j CAD v 24 p 611-618
@art a Sapidis, N. and Perucchio, R. d 1992 t Solid/solid Classification Operations for REcursive Spatial Decomposition and Domain Triangulation of Solid Models j CAD v 24 p 517-529
@art
a Tiller, W.
d 1992
t Knot-Removal Algorithms for {NURBS} Curves and Surfaces
j CAD
v 24
p 445-453
@art
a Meek, D. S. and Walton, D. J.
d 1992
t Approximation of Discrete Data by {$G^1$} Arc Splines
j CAD
v 24
p 301-306
@art a Roy, U. and Zhang, X. d 1992 t Establishment of a Pair of Concentric Circles with the Minimum Radial Separation for Assessing Roundness Error j CAD v 24 p 161-168
@art
a Renka, R. J.
d 1993
t {TSPACK:} Tension Spline Curve-Fitting Package
j TOMS
v 19
p 81-94
toms/716
@art a Bunch, David S. and Gay, David M. and Welsch, Roy E. d 1993 t Subroutines for Maximum Likelihood and Quasi-Likelihood Estimation of Parameters in Nonlinear Regression Models j TOMS v 19 p 109-130 toms/717
@art
a {Zhao Ning} and {Dai Jiazun}
d 1993
t Uniformly Third-Order Accurate {TVNE} Interpolations
j IMAJNA
v 13
p 255-261
@art a Gresho, Philip M. and Lee, Robert L. d 1981 t Don't Suppress the Wiggles---They're Telling You Something! j Computers and Fluids v 9 p 223-253
@art
a Dahlquist, Germund
d 1993
t A ``Multigrid'' Extension of the {FFT} for the Numerical Inversion of {Fourier} and {Laplace} Transforms
j BIT
v 33
p 85-112
@art a Sivakumar, N. and Ward, J. D. d 1993 t On the Least Squares Fit by Radial Functions to Multidimensional Scatter Data j Numerische Mathematik v 65 p 219-243
@art
a Petersen, W. P.
d 1993
t Lagged Fibonacci Series Random Number Generators for the {NEC SX-3}
j J. of High Speed Computing
st random/zufall.f
@art
a Dietz, Roland and Hoschek, Josef and J{\"u}ttler, Bert
d 1993
t An Algebraic Approach to Curves and Surfaces on the Sphere and on Other Quadrics
j CAGD
v 10
p 211-229
@art
a Eck, Matthias
d 1993
t Degree Reduction of {B{\'e}zier} Curves
j CAGD
v 10
p 237-251
@art
a Bercovier, Michel and Shilat, Erez
d 1993
t Enhancement of {Gordon-Coons} Interpolations by ``Bubble Functions''
j CAGD
v 10
p 253-265
@art
a Fong, Philip and Seidel, Hans-Peter
d 1993
t An Implementation of Triangular {B}-Spline Surfaces over Arbitrary Triangulations
j CAGD
v 10
p 267-275
@art
a B{\"u}rger, Heiko and Schaback, Robert
d 1993
t A parallel Multistage Method for Surface/Surface Intersection
j CAGD
v 10
p 277-291
@art a Degen, W. L. F. d 1993 t High Accurate Rational Approximation of Parametric Curves j CAGD v 10 p 293-313
@art a Schumaker, Larry L. d 1993 t Computing Optimal Triangulations Using Simulated Annealing j CAGD v 10 p 329-345
@art
a Peters, J{\"o}rg
d 1993
t Smooth Free-Form Surfaces over Irregular Meshes Generalizing Quadratic Splines
j CAGD
v 10
p 347-361
@art a Pratt, M. J. and Goult, R. J. and Ye, L. d 1993 t On Rational parametric Curve Approximation j CAGD v 10 p 363-377
@art
a Calvetti, D. and Reichel, L.
d 1993
t Fast Inversion of {Vandermonde}-Like Matrices Involving Orthogonal Polynomials
j BIT
v 33
p 437-484
@art
a Schmidt, Jochen W. and He{\ss}, Walter
d 1993
t S-Convex, Monotone, and Positive Interpolation with Rational Bicubic Splines of {$C^2$}-Continuity
j BIT
v 33
p 496-511
@art a Witkin, Andrew P. and Heckbert, Paul S. d 1994 t Using Particles to Sample and Control Implicit Surfaces j Computer Graphics (SIGGRAPH) p 269-277
@art a Hoppe, Huges and DeRose, Tony and Duchamp, Tom and Halstead, Mark and Jin, Hubert and McDonald, John and Schweitzer, Jean and Stuetzle, Werner d 1994 t Piecewise Smooth Surface Reconstruction j Computer Graphics (SIGGRAPH) p 295-302
@art a Loop, Charles d 1994 t Smooth Spline Surfaces over Irregular Meshes j Computer Graphics (SIGGRAPH) p 303-310
@art a Georg, Kurt d 1991 t Approximation of Integrals for Boundary Element Methods j SISSC p 443-453 st unoptimized code is listed, with hints for improvements
@in a Heckbert, Paul S. d 1992 t Discontinuity Meshing for Radiosity p 203-216 in Third Eurographics Workshop on Rendering, Bristol UK
@rep a Heckbert, Paul S. and Garland, Michael d 1995 t Fast Polygonal Approximation of Terrains and Height Fields st http://www.cs.cmu.edu/afs/cs/user/garland/public/scape
@in a Hobby, John D. d 1993 t Polygonal Approximations that Minimize the Number of Inflections p 93-102 in Fourth Symposium on Discrete Algorithms
@rep a Hobby, John D. d 1996 t Space-Efficient Outlines from Image Data via Vertex Minimization and Grid Constraints
@rep
a Gu, Ming and Eisenstat, Stanley C.
t Efficient Algorithms for Computing a Strong Rank-Revealing {QR} Factorization
j SISC
v 4
p 848-869
st pseudocode
@art a Akima, Hiroshi d 1996 t Algorithm 760: Rectangular-Grid-Data Surface Fitting that Has the Accuracy of a Bicubic Polynomial j TOMS v 22 p 357-361
@art a Akima, Hiroshi d 1996 t Algorithm 761: Scattered-Data Surface Fitting that Has the Accuracy of a Cubic Polynomial j TOMS v 22 p 362-371
@art
a Peters, J{\"o}rg
d 1995
t $C^1$-Surface Splines
j SINUM
v 32
p 645-666
@art
a Manni, Carla and Sablonni{\`e}re, Paul
d 1997
t Monotone Interpolation of Order 3 by {$C^2$} Cubic Splines
j IMANA
v 17
p 305-320
@art a Goodsell, George d 1997 t A Multigrid-Type Method for Thin Plate Spline Interpolation on a Circle j IMANA v 17 p 321-327