%CabrelliHeilMolter1998
% LLS Lai-Schumaker book
\rhl{CabHM98}
\refJ Cabrelli, C., Heil, C., Molter, U.;
Accuracy of lattice translates of several
multidimensional refinable functions;
\JAT; 95; 1998; 5--52;

%Cadwell1961
\rhl{C}
\refJ Cadwell,  J. H.;
A Least squares surface-fitting program;
\C;  3; 1961; 266--269;
% should be 4; 1969;???

%CadwellWilliams1961
\rhl{C}
\refJ Cadwell,  J. H., Williams, D. E.;
Some orthogonal methods of curve and surface fitting;
\C;  4; 1961; 260--264;
% should be 1969;???

%CaiMehlum1997
% author 03dec99
\rhl{C}
\refJ Cai, Xing, Mehlum, Even;
Application of Cauchy integrals and singular integral equations in scattered
   data problems;
\BIT; xx; xxx; xxx--xxx;
% constructing `smooth' surfaces with desired discontinuities through given data

%Cain1971
\rhl{C}
\refR Cain,  J. M;
A study of multiquadric equations;
Rpt.\ 1-11, U.S. Army Topographic Command; 1971;

%CaliariDeMarchiVianello2005
% authors 21nov08
\rhl{CDMV}
\refJ Caliari, M., De Marchi, S., Vianello, M.;
Bivariate polynomial interplation on the square at new nodal sets;
\AMC; 165(2); 2005; 261--274;

%CallJudd1974
% sonya
\rhl{C}
\refJ Call,  E. S., Judd, F. F.;
Surface fitting by separation;
\JAT; 12; 1974; 283--290;

%Calladine1986
% carl
\rhl{C}
\refP Calladine,  C. R.;
Gaussian curvature and shell structures;
\SurfacesI; 179--196;

%CalvettiReicher1992
% carl
\rhl{C}
\refJ Calvetti,  D., Reichel, L.;
A Chebyshev-Vandermonde solver;
\LAA; 172; 1992; 219--230;

%Calvi1993
% shayne 6aug96
\rhl{C}
\refJ Calvi, J. P.;
A convergence problem for Kergin interpolation;
Proc.\ Edin.\ Math.\ Soc.; 37; 1994; 175--183;
 
%Calvi1993
% shayne 6aug96
\rhl{C}
\refJ Calvi, J. P.;
Interpolation with prescribed analytic functionals;
\JAT; 75(2); 1993; 136--156;
% related to Kergin interpolation

%Calvi1993
% shayne 6aug96
\rhl{C}
\refJ Calvi, J. P.;
Interpolation in Fr\'echet spaces with an application to complex function
   theory;
Indag.\ Math.; 4(1); 1993; 17--26;
% related to Kergin interpolation

%CalviLevenberg2008
% carl 25mar11
\rhl{CL}
\refJ Calvi, J. P., Levenberg, N.;
Umiform approximation by discrete least squares polynomials;
\JAT; 152; 2008; 82--100;
% introduction of admissible meshes: a sequence (A_n) of subsets of
% a compact set K for which #A_n grows polynomially in n while 
% sup_n sup_{p\in\Pi_{\le n}}\norm{p}_K / \norm{p}_{A_n} < infty

%Candes2000
% larry 20apr00
\rhl{}
\refP Cand\`es, Emmanuel J.;
Ridgelets and their derivatives: representation of images with edges;
\Stmalof; 95-104;

%CandesDonoho2000
% larry 20apr00
\rhl{}
\refP Cand\`es, Emmanuel J., Donoho, David L.;
Curvelets: a surprisingly effective nonadaptive representation for
   objects with edges;
\Stmalof; 105--120;

%Canonne1994
% larry
\rhl{C}
\refP Canonne, J. C.;
A necessary and sufficent condition for the $C^k$ continuity
of triangular rational surfaces;
\ChamonixIIa; 75--82;

%Cantoni1971
% larry
\rhl{C}
\refJ Cantoni,  A.;
Optimal curve fitting with piecewise linear functions;
IEEE Trans.\ Computers ; C-20; 1971;  59--67;

%Cantoni1971b
\rhl{C}
\refJ Cantoni,  A.;
Improving transient response calculations;
Austral.\ Comp.\ J.; 3; 1971; 156--160;

%Cantoni1972
\rhl{C}
\refJ Cantoni,  A.;
Curve fitting with piecewise linear functions;
Proc.\  I. R. E. E,  Australia ; 33; 1972;  417--423;

%CaoGonska1989
%larry
\rhl{C}
\refJ Cao,  J.-D., Gonska, H. H.;
Approximation by Boolean sums of positive linear operators III:
Estimates for some numerical approximation schemes;
\NFAO; 10; 1989; 643--672;

%CaoGonskaKacso1997
% larry 10sep99
\rhl{CGK}
\refP Cao, J., Gonska, H. H., Kacs\'o, D. P.;
On some polynomial curves derived from trigonometric kernels;
\ChamonixIIIa; 53--60;

%CaoHua1991a
% greg
\rhl{C}
\refJ Cao,  Y., Hua, X.;
The convexity of quadratic parametric triangular
Bernstein-B\'ezier surfaces;
\CAGD; 8; 1991; 1--6;

%CaramanlianSelbyHill1978
\rhl{C}
\refJ Caramanlian,  C., Selby, K. A., Hill, G. T.;
A quintic conforming plate bending triangle;
Internat.\ J.\ Numer.\ Meth.\ Engr.; 12; 1978; 1109--1130;

%Carasso1966
\rhl{C}
\refD Carasso,  C.;
M\'ethodes num\'eriques pour l'obtention de fonctions-spline;
Univ.\ of Grenoble; 1966;

%Carasso1967
% larry
\rhl{C}
\refJ Carasso,  C.;
M\'ethode generale de construction de fonctions-spline;
Rev.\ Francaise	Informat Recherche Oper.; 1; 1967;  119--127;

%Carasso1967a
\rhl{C}
\refQ Carasso,  C.;
M\'ethodes num\'eriques de fonctions-spline;
(5eme Congres de  L'Alfiro, Lille), xxx (ed.), xxx (xxx); 1967;  506--509;

%Carasso1967b
\rhl{C}
\refQ Carasso,  C.;
Obtention de la derivee d'une fonction donnee par points;
(Procedures Algol en Analyse Num.\ 1), xxx (ed.),  Centre National de la
Recherche Scientifique  (Paris); 1967;	300--301;

%Carasso1967c
\rhl{C}
\refQ Carasso,  C.;
Obtention d'une fonction-spline d'interpolation d'ordre $k$ par
	 une methode d'integration locale;
(Procedures Algol en Analyse Num.\ 1),  xxx (ed.), Centre National de la
   Recherche Scientifique (Paris); 1967;  288--291;

%Carasso1967d
\rhl{C}
\refQ Carasso,  C.;
Obtention d'une fonction lisse passant par des points donnees et
  ayant en ces points des derivees donnees fonction-spline d'Hermite;
(Procedures Algol en Analyse Num.\ 1),  xxx (ed.), Centre National de la
   Recherche Scientifique (Paris); 1967;  295--299;

%Carasso1967e
\rhl{C}
\refQ Carasso,  C.;
Methode pour l'obtention de fonction-spline d'interpolation
	 d'ordre deux;
(Procedures Algol en Analyse Num.\  1),  xxx (ed.), Centre National de la
    Recherche Scientifique (Paris); 1967;  292--294;

%CarassoLaurent1968
\rhl{C}
\refQ Carasso,  C., Laurent, P. J.;
On the numerical construction and the practical use of
	 interpolating Spline Functions;
(Info.\ Processing 68,  Vol.\  l), xxx (ed.),
	 North Holland (Amsterdam); 1969;  86--89;

%CarassoLaurent1978
% Laurent P. J. 20jan03
\rhl{}
\refJ Carasso, C., Laurent, P. J.;
Un algorithme de minimisation en chaine en optimisation convexe;
\SJCO; 16; 1978; 209--235;

%CarlbomChakravartyVandersschel1985a
% carl
\rhl{C}
\refJ Carlbom, Ingrid, Chakravarty, Indranil, Vandersschel, David A.;
A hierarchical data structure for representing the spatial decomposition
of 3-D objects;
\ICGA; 5(4); 1985; 24--31;

%Carlson1999
\rhl{C}
\refR Carlson, R. E.;
Shape preserving interpolation;
LLNL, 97--113; xx;

%CarlsonBC1991
% carl
\rhl{C}
\refJ Carlson,  B. C.;
B-splines, hypergeometric functions, and Dirichlet averages;
\JAT; 67; 1991; 311--325;

%CarlsonBC1991
% carl
\rhl{C}
\refJ Carlson,  B.C.;
B-splines, hypergeometric functions, and Dirichlet averages;
\JAT; 67; 1991; 311--325;

%CarlsonFoley1990
\rhl{C}
\refR Carlson,  R. E., Foley, T. A.;
The parameter $R^2$ in multiquadric interpolation;
Lawrence Livermore National Laboratory, Preprint UCRL-JC-104724; 1990;

%CarlsonFoley1991a
\rhl{C}
\refJ Carlson,  R. E., Foley, T. A.;
The parameter $r^2$ in multiquadric interpolation;
\CMA;  21; 1991; 29--42;

%CarlsonR1970
\rhl{C}
\refR Carlson,  R. E.;
Some remarks on bicubic splines;
Livermore; 1970;

%CarlsonR1971
% sonya
\rhl{C}
\refR Carlson,  R. E;
On piecewise polynomial interpolation in rectangular polygons;
xxx; 1971;

%CarlsonR1982
\rhl{C}
\refJ Carlson,  R. E.;
A bivariate interpolation algorithm for scattered data;
\RMJM; xx; xx; xx;

%CarlsonRFritsch1982
\rhl{C}
\refR Carlson,  R. E., Fritsch, F. N.;
Piecewise cubic Hermite interpolation package;
Livermore; 1982;

%CarlsonRFritsch1985
% larry
\rhl{C}
\refJ Carlson,  R. E., Fritsch, F. N.;
Monotone piecewise bicubic interpolation;
\SJNA; 22; 1985; 386--400;

%CarlsonRFritsch1989
% larry
\rhl{C}
\refJ Carlson,  R. E., Fritsch, F. N.;
An algorithm for monotone piecewise bicubic interpolation;
\SJNA; 26; 1989; 230--238;

%CarlsonRFritsch1991
% larry
\rhl{C}
\refJ Carlson,  R. E., Fritsch, F. N.;
A bivariate interpolation algorithm for data which are monotone in one
variable;
\SJSSC; 12; 1991; 859--866;

%CarlsonRHall1969
\rhl{C}
\refR Carlson,  R. E., Hall, C. A.;
On the nonlocalness of spline-interpolation;
WAPD-T-2244;  1969;

%CarlsonRHall1970
\rhl{C}
\refR Carlson,  R. E., Hall, C. A.;
Spline extrapolation and $L$-shaped regions;
Livermore; 1970;

%CarlsonRHall1971
% sonya
\rhl{C}
\refJ Carlson,  R. E., Hall, C. A.;
On piecewise polynomial interpolation in rectangular polygons;
\JAT; 4; 1971;  37--53;

%CarlsonRHall1972
% sonya
\rhl{C}
\refJ Carlson,  R. E., Hall, C. A.;
Bicubic spline interpolation in rectangular polygons;
\JAT; 6; 1972; 366--377;

%CarlsonRHall1973
% sonya
\rhl{C}
\refJ Carlson,  R. E., Hall, C. A.;
Error bounds for bicubic spline interpolation;
\JAT; 7; 1973; 41--47;

%CarlsonRHall1973b
% sonya
\rhl{C}
\refJ Carlson,  R. E., Hall, C. A.;
Bicubic spline interpolation in $L$-shaped domains;
\JAT; 8; 1973; 62--68;

%CarlsonRHall1999
\rhl{C}
\refR Carlson,  R. E., Hall, C. A.;
Bicubic spline interpolation and approximation in right triangles;
xx; 19xx;

%Carnicer1991
\rhl{C}
\refJ Carnicer,  J. M.;
% . sherm, update page numbers
On best constrained interpolation;
\NA; 1; 1991; 155--176;

%Carnicer1995
% LLS Lai-Schumaker book
\rhl{Car95}
\refJ Carnicer, J. M.;
Multivariate convexity preserving interpolation by smooth functions;
\AiCM; 3; 1995; 395--404;

%CarnicerBastero1994a
% carl
\rhl{C}
\refJ Carnicer, J. M., Bastero, J.;
On best interpolation in Orlicz spaces;
\JATA; 10(4); 1994; 72--84;

%CarnicerDahmen1992
%ming Lai-Schumaker book
\rhl{CarD92}
\refJ Carnicer, J. M., Dahmen, W.;
Convexity preserving interpolation and Powell--Sabin elements;
\CAGD; 9; 1992; 279--289;

%CarnicerDahmen1994
% LLS Lai-Schumaker book
\rhl{CarD94}
\refJ Carnicer, J. M., Dahmen, W.;
Characterization of local strict convexity preserving interpolation
   methods by $C\sp 1$ functions;
\JAT; 77; 1994; 2--30;

%CarnicerFloaterPena1997
% LLS Lai-Schumaker book
\rhl{CarFP97}
\refJ Carnicer, J. M., Floater, M. S., Pe\~na, J. M.;
Linear convexity conditions for rectangular and triangular
   Bernstein--B\'ezier surfaces;
\CAGD; 15;  1997; 27--38;

%CarnicerGasca1989a
% . 14may99
\rhl{C}
\refP Carnicer, J. M.,  Gasca, M.;
On finite element interpolation problems;
\Oslo; 105--113;

%CarnicerGasca1989b
% . 14may99
\rhl{C}
\refP Carnicer, J. M., Gasca, M.;
On the evaluation of multivariate Lagrange formulae;
\MvatIV; 65--72;

%CarnicerGasca1990
% larry, carl
\rhl{C}
\refJ Carnicer, J., Gasca, M.;
Evaluation of multivariate polynomials and their derivatives;
\MC; 54(189); 1990; 231--243;

%CarnicerGasca2000
% author 03apr06
\rhl{}
\refP Carnicer, J. M., Gasca, M.;
Planar configurations with simple Lagrange formula;
\OsloII; 55--62;

%CarnicerGasca2001a
% sauer
\rhl{CG}
\refJ Carnicer, J. M., Gasca, M.;
A conjecture on multivariate polynomial interpolation;
\RACSAM; 95(1); 2001; 145--154;
% http://pcmap.unizar.es/~gasca/investig/conjecture.pdf
% detailed proofs of the GM conjecture (in the bivariate case) for $n\le 4$
% as an alternative to Busch90.

%CarnicerGasca2002
% author 05mar08
\rhl{GC}
\refJ Carnicer, J. M., Gasca, M.;
A Newton approach to bivariate Hermite interpolation on generalized natural
   lattices;
Revista Academia de Ciencias de Madrid, Serie A Matem.; 96(2); 2002; 185--196;

%CarnicerGasca2003
%  carl 20nov03
\rhl{C}
\refP Carnicer, J. M., Gasca, M.;
On Chung and Yao's geometric characterization for bivariate polynomial
   interpolation;
\Stmalodtw; 21--30;
% introduces the CG conjecture: every (planar) GCn-set has at least 3 lines
% containing n+1 of the points, then proves that if the GM conjecture holds
% for all n le some N, the CG conjecture also holds for all such n.

%CarnicerGasca2004a
% sauer
\rhl{}
\refJ Carnicer, J., Gasca., M.;
Classification of bivariate GC configurations for interpolation;
\AiCM; 20; 2004; 5--16;

%CarnicerGasca2005a
% author 03apr06
\rhl{}
\refJ Carnicer, J. M., Gasca, M.;
Generation of lattices of points for bivariate interpolation;
\NA; 39(1-3); 2005; 69--79;

%CarnicerGasca2006a
% sauer 21nov08
\rhl{CG}
\refJ Carnicer, J. M., Gasca, M.;
Interpolation on lattices generated by cubic pencils;
\AiCM; 24; 2006; 113--130;

%CarnicerGascaSauer2006
% author 03apr06
\rhl{}
\refJ Carnicer, J. M., Gasca, M., Sauer, T.;
Interpolation lattices in several variables;
% ms; 2004;
\NM; 102; 2006; 559--581;
% extension of GascaSauer00

%CarnicerGascaSauer2009a
% . 05mar08 12mar09
\rhl{GCS}
\refJ Carnicer, Jes\'us, Gasca, Mariano, Sauer, Tomas;
Aitken-Neville sets, principal lattices and divided differences;
\JAT; 156; 2009; 154--172;
% ms; 2007;

%CarnicerGodes2006
% author
\rhl{CGo}
\refJ Carnicer, J. M., God\'es, C.;
Geometric characterization and generalized principal lattices;
% to appear in \JAT; 2005;
\JAT; 143(1); 2006; 2--14;

%CarnicerGoodmanPena1994
\rhl{C}
\refR Carnicer, J. M., Goodman, T. N. T., Pena, J. M.;
A generalization of the variation diminishing property;
xx; 1994;

%CarnicerMainar2000
% larry 20apr00
\rhl{}
\refP Carnicer, J. M., Mainar, E.;
Factorizations of normalized totally positive systems;
\Stmalod; 1--8;

%CarnicerMicchelliPena1993
% carlrefs 20nov03
\rhl{}
\refJ Carnicer, J. M., Micchelli, C. A., Pen\~na, J. M.;
Almost strictly totally positive matrices;
\NA; 2(2); 1992; 225--236;

%CarnicerPena1993a
% carlrefs 20nov03
\rhl{}
\refJ Carnicer, J. M., Pe\~na, J. M.;
Shape preserving representations and optimality of the Bernstein basis;
\AiCM; 1; 1993; 173--196;

%CarnicerPena1993b
% carl 20nov03
\rhl{CP}
\refJ Carnicer, J. M., Pe\~na, J. M.;
A Marsden's type identity for periodic trigonometric splines;
\JAT; 75(3); 1993; 248--265;

%CarnicerPena1994a
% larry
\rhl{C}
\refP Carnicer, J. M., Pe\~na, J. M.;
Monotonicity preserving representations;
\ChamonixIIa; 83--90;

%CarnicerPena1994b
% authors 02feb01
\rhl{C}
\refJ Carnicer, J. M., Pe\~na, J. M.;
Totally positive bases for shape preserving curve design and optimality of
   B-splines;
\CAGD; 11; 1994; 635--656;

%CarnicerPena1994c
% LLS Lai-Schumaker book
\rhl{CarP94}
\refJ Carnicer, J. M., Pe\~na, J. M.;
Least supported bases and local linear independence;
\NM; 67; 1994; 289--301;

%CarrollBraess1974
% sonya
\rhl{C}
\refJ Carroll,  M. P., Braess, D.;
On uniqueness of $L_1$ approximation for certain families of spline
functions;
\JAT; 12; 1974; 362--364;

%CarstensenMuhlbackSchmidt1994
\rhl{C}
\refR Carstensen, C., M\"uhlback, G., Schmidt, G.;
DeCasteljau's algorithm is an extrapolation method;
CAGD; 1994;

%Cartwright1999
% carl 20apr00
\rhl{C}
\refB Cartwright, David E.;
Tides: a Scientific History;
Cambridge University Press (Cambridge, UK); 1999;
% nice examples of practical harmonic analysis

%Carusnikov1969
% larry
\rhl{C}
\refJ Carusnikov,  V. D.;
On the problem of optimization of algorithms for approximate integration of
functions of several variables;
Soviet Math.\ Dokl.; 10; 1969; 1355--1359;

%CasaleBobrow1989a
% greg
\rhl{C}
\refJ Casale,  M. S., Bobrow, J. E.;
A set operation algorithm
for sculptured solids modeled with trimmed patches;
\CAGD; 6; 1989; 235--247;

%CasazzaFickusKovacevicLeonTremain2003
% shayne 23jun03
\rhl{}
\refR Casazza, P. G., Fickus, M. C., Kova\v cevi\' c, J., Leon, M. T.,
Tremain, J. C.;
A physical interpretation for finite tight frames;
preprint; 2003;

%CasazzaHanLarson1999a
% shayne
\rhl{}
\refJ Casazza, P. G., Han, D., Larson, D. R.;
Frames for Banach spaces;
\CM; 247; 1999; 149--182;

%CasazzaKovacevic2003
% . 06jun04
\rhl{}
\refJ Casazza, P., Kova\v cevi\'c, J.; 
Equal-norm tight frames with erasures;
\AiCM; 18(2-4); 2003; 387--430;

%CasciolaFranchiniRomani2006
% peters 05mar08
\rhl{CFR}
\refJ Casciola, Giulio, Franchini, Elena, Romani, Lucia;
The mixed directional difference-summation algorithm for generating the
   B\'ezier net of a trivariate four-direction box-spline;
\NA; 43(1); 2006; 1017--1398;
% getting B-net of a box spline

%CasciolaMorigi1997
% larry 10sep99
\rhl{CM}
\refP Casciola, G.,  Morigi, S.;
Spline curves in polar and Cartesian coordinates;
\ChamonixIIIa; 61--68;

%CasciolaValori1999
\rhl{C}
\refR Casciola,  G., Valori, G.;
An inductive proof of the derivative B-spline recursion formula;
Univ.\ of Bolgna; xxx;

%Casey1971a
% Andreas Mueller 22may98
\rhl{C}
\refJ Casey, J.;
On cyclides and sphero--quartics;
Phil.\ Trans.\ R. Soc.\ London; 161; 1871; 585--721;
% The volume no is 161.

%CashKarp1990a
\rhl{C}
\refJ Cash,  J. R., Karp, A. H.;
A variable order  Runge--Kutta method for initial value problems
with rapidly varying right--hand side;
\ACMTMS;  16; 1990; 201--222;

%Casteljau1959
\rhl{C}
\refR Casteljau,  P. de;
Outillage m\'ethodes calcul;
Andr\'e Citro\"en Automobiles SA, Paris; 1959;

%Casteljau1963
\rhl{C}
\refR Casteljau,  P. de;
Courbes et Surfaces \`a P\^oles;
Andr\'e Citro\"en Automobiles SA, Paris; 1963;

%Casteljau1985
\rhl{C}
\refB Casteljau,  P. de;
Formes \`a P\^oles;
Hermes (Paris); 1985;

%Casteljau1986
\rhl{C}
\refB Casteljau,  P. de;
Shape Mathematics and CAD;
Kogan PAGE Ltd (London); 1986;

%Casteljau1990a
\rhl{C}
\refB Casteljau,  P. de;
Le Lissage;
Hermes (Paris); 1990;

%Casteljau1993
% carl
\rhl{C}
\refP Casteljau,  Paul de;
Polar forms for curve and surface modeling as used at Citro\"en;
\Piegl; 1--12;
% expository

%Casteljau1994
% larry
\rhl{C}
\refP Casteljau, P. de Faget de;
Splines focales;
\ChamonixIIa; 91--103;

%Casteljau1997
% larry 10sep99
\rhl{C}
\rhl{C}
\refP de Faget de Casteljau, P.;
La tol\'erance d'usinage chez Citro\"en dans les ann\'ees (19)60;
\ChamonixIIIa; 69--76;

%Casteljau2000
% larry 20apr00
\rhl{}
\refP Casteljau, Paul de Faget de;
Intersections et convergence;
\Stmalod; 9--15;

%Catmull1974
\rhl{C}
\refD Catmull,  E. E.;
A Subdivision Algorithm for Computer Display of Curved Surfaces;
Computer Science Department, University of Utah; 1974;
% also TR UTEC-CSc 74-133

%Catmull1975
\rhl{C}
\refQ Catmull,  E.;
Computer display of curved surfaces;
(Proceedings, IEEE Conference on Computer Graphics, Pattern Recognition, and 
Data Structure, [Los Angeles]), xxx (ed.), xxx (xxx); 1975; 11--17;

%CatmullClark1978
% carl
\rhl{C}
\refJ Catmull, Edwin, Clark, J.;
Recursively generated B-spline surfaces on arbitrary topological meshes;
\CAD; 10(6); 1978; 350--355;

%CatmullRom1974
\rhl{C}
\refP Catmull,  E. E., Rom, R. J.;
A class of local interpolating splines;
\Barnhill; 317--326;

%Cauchy1840
% carl 23jun03
\rhl{Ca40}
\refJ Cauchy, Augustin;
Sur les fonctions interpolaires;
\CRASP; 11; 1840; 775--789;
% Oeuvres (1) 5, Paris: 1885: 409--424:
% basic divided difference stuff, including a special case of the refinement
% formula of Popoviciu33=34a

%Cavaretta1970
\rhl{C}
\refD Cavaretta,  A. S.;
On cardinal perfect splines of least sup-norm on the real axis;
Univ.\ Wis.; 1970;

%Cavaretta1973
% sonya
\rhl{C}
\refJ Cavaretta,  A. S.;
On cardinal perfect splines of least sup-norm on the real axis;
\JAT; 8; 1973; 285--303;

%Cavaretta1974
% . 22may98
\rhl{C}
\refJ Cavaretta,  A. S.;
An elementary proof of Kolmogorov's theorem;
\AMMo; 81; 1974; 480--486;

%Cavaretta1976
% larry
\rhl{C}
\refJ Cavaretta,  A. S.;
One-sided inequalities for the successive derivatives of a function;
\BAMS; 82; 1976; 303--305;

%Cavaretta1979
% author 29apr97
\rhl{C}
\refJ Cavaretta, A. S.;
A refinement of Kolmogorov's inequality;
\JAT; 27; 1979; 45--60;

%Cavaretta1999c
\rhl{C}
\refR Cavaretta,  A. S.;
Oscillatory and zero properties for perfect splines and monosplines;
xx; 19xx;

%CavarettaDahmenMicchelli1980
% . 14may99
\rhl{C}
\refJ Cavaretta, A.~L., Micchelli, C.~A., Sharma, A.;
Multivariate interpolation and the Radon transform;
\MZ; 174; 1980; 263--279;

%CavarettaDahmenMicchelli1991
% carl
\rhl{C}
\refJ Cavaretta, A. S., Dahmen, W., Micchelli, C. A.;
Stationary Subdivision;
Mem.\ Amer.\ Math.\ Soc.; 93; 1991; No.\ 453;
% vi+186 pp.

%CavarettaDahmenMichelliSmith1999
\rhl{C}
\refJ Cavaretta,  A. S., Dahmen, W., Micchelli, C. A., Smith, P. W.;
A factorization theorem for band matrices;
\LAA; xxx; xxx; xxx;

%CavarettaGoodmanMicchelliSharma1983
% sherm, shayne 23may95 6aug96
\rhl{C}
\refJ Cavaretta, A. S., Goodman, T. N. T., Micchelli, C. A., Sharma, A.;
Multivariate interpolation and the Radon transform, part III:
   Lagrange representation;
\CMSCP; 3; 1983; 37--50;
% More on lifting. Studies the choice of bases for the interpolation
% conditions of maps from the family which Hakopian describes as the `scale
% of mean value interpolations'. The points of interpolation must satisfy
% certain geometric conditions, in which case the dual basis of `Lagrange
% polynomials' is given. Related to Kergin interpolation.

%CavarettaMicchelli1989a
% larry
\rhl{C}
\refP Cavaretta,  A., Micchelli, C. A.;
Subdivision algorithms;
\Oslo; 115--153;

%CavarettaMicchelli1992
% author 20jun97
\rhl{C}
\refP Cavaretta, A., Micchelli, C. A.;
Pyramid patches provide potential polynomial paradigms;
\Biri; 69--100;

%CavarettaMicchelliSharma1980a
% larry, shayne 6aug96
\rhl{C}
\refJ Cavaretta, A. S., Micchelli, C. A., Sharma, A.;
Multivariate interpolation and the Radon transform;
\MZ; 174; 1980; 263--279;
% The first of three papers dealing with the lifting of univariate polynomial
% valued projectors to multivariate maps by using the density of plane waves
% includes Kergin interpolation which is the `lift' of Hermite interpolation

%CavarettaMicchelliSharma1980b
% shayne 23may95 6aug96
\rhl{C}
\refP Cavaretta, A. S., Micchelli, C. A., Sharma, A.;
Multivariate interpolation and the Radon transform, part II: Some further
   examples;
\BonnII; 49--61;
% Additional examples of lifts of univariate maps, including Abel-Gontscharoff,
% Lidstone, and the area matching interpolation maps. 
% Related to Kergin interpolation

%CavarettaNewman1978
\rhl{C}
\refJ Cavaretta,  A. S., Newman, D. J.;
Periodic interpolating splines and their limits;
Indag.\	Math.; 40; 1978;  515--526;

%CavarettaSchoenberg1972
% author 29apr97
\rhl{C}
\refP Cavaretta, A., Schoenberg, I. J.;
Solution of Landau's problem concerning higher derivatives on the halfline;
\VarnaI; 297--308;

%CavarettaSharmaTzimbalario1986
% MR 08apr04
\rhl{}
\refJ Cavaretta, A. S., Tzimbalario, J.;
Convergence of some classes of interpolating splines for holomorphic functions;
\JAT; 46(4); 1986; 374--384;
% MR87j:30086

%CavarettaSharmaVarga1981a
% author 20feb96
\rhl{C}
\refJ Cavaretta, A. S., Sharma, A., Varga, R. S.;
Interpolation in the roots of unity: An extension of a theorem of Walsh;
Resultate Math.; 3; 1981; 155--191;

%CavarettaSitharam1993
% carl
\rhl{C}
\refJ Cavaretta,  A. S., Sitharam, Meera;
The total variation of the tensor product Bernstein-B\'ezier operator;
\JAT; 72(1); 1993; 34--39;

%Cavendish1974
% larry
\rhl{C}
\refJ Cavendish,  J. C.;
Automatic triangulation of arbitrary planar
	 domains for the finite element method;
Int.\ J. Numer.\ Meth.\ Engr.;  8; 1974; 679--696;

%CaverettaDahmenMicchelli1991
\rhl{C}
\refB Caveretta,  A., Dahmen, W., Micchelli, C.;
Stationary Subdivision; 
Memoirs of AMS Number 453, American Mathematical Society (Providence); 1991; 

%Cayley1973a
\rhl{C}
\refJ Cayley,  A.;
On the cyclide;
Quart.\ J.\ Pure Appl.\ Math.;  12; 1873; 148--165;

%Cea1964
% larry
\rhl{C}
\refJ Cea,  J.;
Approximation variationnelle des problemes aux limites;
Ann.\ Inst.\ Fourier, Grenoble; 14; 1964; 345--444;

%CecchiMontani1980
% larry
\rhl{C}
\refJ Cecchi,  M. M., Montani, C.;
Studio informatico della morfometria di un piccolo bacino in val d'era
(Toscana);
Atti Soc.\ Tosc.\ Sci.\ Nat.\ Mem.\ Ser.\ A; 87; 1980; 1--17;

%CelnikerGossard1991
\rhl{C}
\refJ Celniker,  G., Gossard, D.;
Deformable curve and surface finite-elements for free-form shape design;
Computer Graphics (ACM SIGGRAPH); 25; 1991; 257--266;

%CerliencoMureddu
%  12mar97
\rhl{C}
\refJ Cerlienco, XXX., Mureddu, XXX.;
XXX;
Discrete Math.; 139; 1995; 73--87;
% multivariate polynomial interpolation.
% generate a monomially spanned space of minimal degree for interpolation at
% a given point set in $\RR^d$. E.g., in the bivariate case, group points by
% their first coordinate, then sort by decreasing group size to get the sets
% $P_j$. The corresponding space is spanned by $( ()^k: k_1< \#P_{k_2} )$.

%Cerny1972
\rhl{C}
\refJ Cerny,  J. W.;
Use of the SYMAP computer mapping program;
J. Geography; 71; 1972; 167--174;

%Chaikin1974
\rhl{C}
\refJ Chaikin,  G. M.;
An algorithm for high speed curve generation;
Computer Graphics and Image Processing;
3;
1974;
346--349;

%Chakalov1934
% author 20jan03
\rhl{C34}
\refJ Tchakaloff,  L.;
Sur la structure des ensembles lin\'eaires d\'efinis par une certaine
   propri\'et\'e minimale;
Acta Math; 63; 1934; 77--97;
% looks for minimal sets for given (n+1)-sequence tau and given function class
% F, i.e., the smallest possible set E with the property that,
% for every \xi in E there is some f in F with divdif{tau}f = D^nf(\xi)/n! .

%Chakalov1936a
% carl 20jan03
\rhl{C36}
\refJ Tchakaloff,  L.;
Sur une g\'en\'eralisation du th\'eor\`eme de Rolle pour les polynomes;
\CRASP; 202; 1936; 1635--1637;
% applies Chakalov34 to the special situation tau = (a,...,a,b,...,b), and
% F = \Pi_k for some k \ge #tau.

%Chakalov1936b
% carl 20jan03
\rhl{C36}
\refJ Tchakaloff,  L.;
\"Uber eine Darstellung des Newtonschen Differenzenquotienten und ihre
Anwendungen;
Intern.\ Congr.\ Math., Oslo; 2; 1936; 98--99;
% announcement of Chakalov38a,b

%Chakalov1938b
% carl 20jan03
\rhl{C38b}
\refJ Tschakaloff, L.;
Eine Integraldarstellung des Newtonschen Differenzenquotienten und ihre
   Anwendungen;
Annuaire Univ.\ Sofia, Fiz.\ Mat.\ Fakultet; 34; 1938; 395--405;
% German summary of the Bulgarian paper Chakalov38a

%Chakalov38a	
% carl 20jan03
\rhl{C38a}
\refJ Chakalov,  L.;
On a certain presentation of the Newton divided differences in interpolation
   theory and its applications (in Bulgarian);
Annuaire Univ.\ Sofia, Fiz.\ Mat.\ Fakultet; 34; 1938; 353--394;
% first occurrence of the contour integral formula for B-splines,
% found later also by Meinardus74
% An extensive summary in German follows directly; see Chakalov38b

%ChalmersJohnsonMetcalfTaylor1974
% carl
\rhl{C}
\refJ Chalmers, B. L., Johnson, D. J., Metcalf, F. T., Taylor, G. D.;
Remarks on the rank of Hermite-Birkhoff interpolation;
\SJNA; 11; 1974; 254--259;

%ChalmersLeviatanProphet1999
% carl 26aug99
\rhl{C}
\refJ Chalmers, B. L., Leviatan, D., Prophet, M. P.;
Optimal interpolating spaces preserving shape;
\JAT; 98(2); 1999; 354--373;
% spaces made up of solutions to variational problems involving shape
% constraints in addition to interpolation constraints.

%ChalmersMetcalf1974
% shayne 5dec96
\rhl{C}
\refJ Chalmers, B. L., Metcalf, F. T.;
Taylor--like remainder formulas for interpolation by arbitrary linear
   functionals;
\SJNA; 11(5); 1974; 950--964;

%ChalmersMetcalf1976
% author 20apr00
\rhl{CM}
\refP Chalmers, B. L., Metcalf, F. T.;
On the computation of minimal projections from $C[0,1]$ to ${\cal P}_n[0,1]$;
\TexasII; 321--326;

%ChalmersMetcalf1980
% author 20apr00
\rhl{CM}
\refP Chalmers, B. L., Metcalf, F. T.;
Multiplicative variations lead to the variational equations for minimal
projections;
\TexasIII; xxx--xxx;

%ChalmersMetcalf1990
% petras 20apr00
\rhl{CM}
\refJ Chalmers, B. L., Metcalf, F. T.;
Determination of a minimal projection from $C[-1,1]$ onto the quadratics;
\NFAO; 11(1-2); 1990; 1--10;
% in preparation since mid 1970ies

%ChalmersPhillipsTaylor1988
% shayne 5dec96
\rhl{C}
\refJ Chalmers, B. L., Phillips, G. M., Taylor, P. J.;
Polynomial approximation using projections whose kernels contain the
   Chebyshev polynomials;
\JAT; 53 ; 1988; 321--334;
% Bruce Chalmers writes:
%  In Theorem 2.1 P is definitely assumed to be a linear map. I have no
%  idea what happens if the assumption of linearity is dropped. Also
%  Theorem 3.4 is in error (in the proof the conclusion that \nu is a
%  positive measure does not follow). In fact the whole half page
%  beginning with Theorem 3.4 until the beginning of Section 4 should
%  be eliminated. In the proof of Theorem 2.3 in the second sentence
%  "f" should be replaced by "f-Pf" throughout (4 places). Finally,
%  in the statement of Theorem 3.2, replace "nonnegative" by
%  "absolutely continuous" and after "satisfying" insert
%  "0<=d\nu/dt<=1,"

%ChalmondColdefyLavayssiere1994
% larry
\rhl{C}
\refP Chalmond, B., Coldefy, F., Lavayssi\`ere, B.;
3D curve reconstruction from degraded projections;
\ChamonixIIb; 113--119;

%Chamayou1975
\rhl{C}
\refJ Chamayou,  J. M.;
Bicubic spline function approximation of the solution
	 of the fast-neutron transport equation;
Comp.\ Phys.\ Comm.; 10; 1975; 282--291;

%ChampionLenardMills1996
% Terry Mills 12mar97
\rhl{C}
\refJ Champion, R., Lenard, C. T., Mills, T. M.;
An introduction to abstract splines;
Math.\ Scientist; 21; 1996; 8--26;
% An exposition of some basic ideas in the study of
% variational splines

%ChampionLenardMills2000
% Terry Mills 21jan02
\rhl{}
\refJ Champion, R., Lenard, C. T., Mills, T. M.;
A variational approach to splines;
ANZIAM Journal; 42; 2000; 119--135;
% This is an expository paper which describes the development of a
% variational approach to spline functions.

%ChanTFKangSHShenJ2002
% author 20nov03
\rhl{}
\refJ Chan, T. F., Kang, S.-H., Shen, J.;
Euler's elastica and curvature based inpaintings;
\SJAM; 63(2); 2002; 564--592;
% minimize int_\gO (a+b\gk^2)|Du|, with \gk:= \nabla\cdot|grad u/|grad u||

%ChanYeung1992
% carl
\rhl{C}
\refJ Chan,  Raymond H., Yeung, Man-Chung;
Jackson's theorem and circulant preconditioned Toeplitz systems;
\JAT; 70; 1992;  191--205;

%Chand1965
\rhl{C}
\refD Chand,  D. R.;
Appproximation of curves by piecewise continuous functions;
Boston Univ.; 1965;

%ChandlerSloan1990
% carl
\rhl{C}
\refJ Chandler,  G. A., Sloan, I. H.;
Spline qualocation methods for boundary integral equations;
\NM; 58; 1990; 537--567;

%ChandlerSloan1990a
% . 05feb96
\rhl{C}
\refJ Chandler, G. A., Sloan, I. H.;
Spline qualocation methods for boundary integral equations;
\NM; 58; 1990; 537--567;
% erratum: \NM: 62: 1992: 295

%ChandlerSloan1992
% carl
\rhl{C}
\refJ Chandler,  G. A., Sloan, I. H.;
Erratum: Spline qualocation methods for boundary integral equations;
\NM; 62; 1992; 295;

%ChandruDuttaHoffmann1989a
\rhl{C}
\refJ Chandru,  V., Dutta, D., Hoffmann, C. M.;
On the geometry of Dupin cyclides;
The Visual Computer; 5; 1989; 277--290;

%ChandruDuttaHoffmann1990a
\rhl{C}
\refQ Chandru,  V., Dutta, D., Hoffmann, C. M.;
Variable radius blending using Dupin cyclides;
(Geometric Modeling for Product Engineering),
M. J. Wozny, J. Turner and K. Preiss (eds.),
North-Holland, (xxx); 1990; xxx;

%ChandruKochar1987a
\rhl{C}
\refP Chandru,  Kochar;
Analytic techniques for geometric intersection problems;
\Troy; 316--317;

%Chang1982a
% . 5dec96
\rhl{C}
\refJ Chang, G.;
Matrix foundation of Bezier technique;
\CAD; 14(6); 1982; 354--360;
% page numbers are doubtful.

%Chang1984
% Shayne 22may98
\rhl{C}
\refJ Chang, G.-Z.;
Bernstein polynomials via the shifting operator;
\AMMo; 91; 1984; 634--638;

%Chang1994
% .
\rhl{C}
\refJ Chang, Maoli;
The behavior of polyharmonic cardinal splines as their degree tends to infinity;
\JAT; 76(3); 1994; 287--302;

%ChangChen1991
% LLS Lai-Schumaker book
\rhl{ChaC91}
\refJ Chang, G. Z., Chen, F. L.;
A short proof of a converse theorem of
   convexity for Bernstein polynomials over simplices (Chinese); 
J. Math.\ Res.\ Exposition; 11; 1991; 275--277;

%ChangFeng1989
% LLS Lai-Schumaker book
\rhl{ChaF89}
\refJ Chang,  G. Z., Feng, Y. Y.;
A pair of compatible variations for Bernstein triangular polynomials;
\ATA; 5; 1989; 1--10;

%ChangG1982
% carl 04mar10
\rhl{C}
\refJ Chang, Gen-zhe;
Matrix formulations of B\'ezier technique;
\CAD; 14(6); 1982; 345--350;

%ChangG1983
% larry
\rhl{C}
\refJ Chang,  G. Z.;
Generalized Bernstein B\'ezier polynomials;
J. Comput.\ Math.; 1; 1983; 322--327;

%ChangG1984a
% larry 20jun97
\rhl{C}
\refJ Chang,  Gen-zhe;
An elementary proof of the convergence for the generalized Bernstein
B\'ezier polynomials;
\JCM; 2; 1984; 89--92;

%ChangGDavis1984a
% sonya
\rhl{C}
\refJ Chang,  Gen-zhe, Davis, P. J.;
The convexity of Bernstein polynomials over triangles;
\JAT; 40; 1984; 11--28;

%ChangGFeng1983a
% 
\rhl{C}
\refJ Chang,  Gen-zhe, Feng, Yu-yu;
Error bound for Bernstein-B\'ezier triangular approximations;
J.\ Comput.\ Math.; 4; 1983; 335--340;

%ChangGFeng1984a
% greg
\rhl{C}
\refJ Chang,  Gen-zhe, Feng, Yu-yu;
An improved condition for the convexity of Bernstein-B\'ezier surfaces
 over triangles;
\CAGD; 1; 1984; 279--283;

%ChangGFeng1985a
\rhl{C}
\refR Chang,  Gen-zhe, Feng, Yu-yu;
A pair of compatible variations for Bernstein triangular polynomials;
xx; 1985;

%ChangGFeng1985b
% larry
\rhl{C}
\refJ Chang,  Gen-zhe, Feng, Yu-yu;
A new proof for the convexity of the Bernstein-B\'ezier surfaces over triangles;
Chin.\ Ann.\ of Math.; 6B; 1985; 171--176;
%  some have  173--176

%ChangGHoschek1985a
\rhl{C}
\refP Chang,  Gen-zhe, Hoschek, J.;
Convexity and variation diminishing property of Bernstein polynomials
	 over triangles;
\MvatIII; 61--71;

%ChangGSu1985
% greg
\rhl{C}
\refJ Chang,  G., Su, B.;
Families of adjoint patches for a B\'ezier triangular surface;
\CAGD; 2; 1985; 37--42;

%ChangGWu1981
% carl
\rhl{C}
\refJ Chang, Gengzhe, Wu, Junheng;
Mathematical foundations of B\'ezier's technique;
\CAD; 13(3); 1981; 134--136;

%ChangGZhang1990
% sonya
\rhl{C}
\refJ Chang,  G., Zhang, J.;
Converse theorems of convexity for Bernstein polynomials over triangles;
\JAT; 61; 1990; 265--278;

%ChangR1980
\rhl{C}
\refR Chang,  R. E.;
An evaluation and comparison of curve fitting software;
SAND80--8727; 1980;

%ChangSederberg1994
% LLS Lai-Schumaker book
\rhl{ChaS94}
\refJ Chang, G. Z., Sederberg, T.;
Nonnegative quadratic B\'ezier triangular patches;
\CAGD; 11; 1994; 113--116;

%ChangZ1982
\rhl{C}
\refJ Chang,  Z. X;
Vectorial splines.\ Interpolation type operators and
	 surface fitting by vectorial splines (Chinese);
Xian Jiaotoug Daxue Xuebao;  16; 1982; 41--52;

%ChapuisCorrec1999
\rhl{C}
\refJ Chapuis,  E., Correc, Y.;
Fast computation of Delaunay triangulations;
Advances in Engineering Software; XX; XX; XX;

%CharrotGregory1984
% greg
\rhl{C}
\refJ Charrot,  P., Gregory, J. A.;
A pentagonal surface patch for computer aided geometric design;
\CAGD; 1; 1984; 87--94;

%ChatterjeeDikshit1981a
% . 20feb96
\rhl{C}
\refJ Chatterjee,  A., Dikshit, H. P.;
On error bounds for cubic spline interpolation;
J.  Orissa Math.\  Soc.; 1; 1982; 1--11;

%ChatterjeeDikshit1981b
% . 20feb96
\rhl{C}
\refJ Chatterjee,  A., Dikshit, H. P.;
Convergence of a class of cubic interpolatory splines;
\PAMS; 82; 1981; 411--416;

%Chazelle1992
% sherm,  update pagination
\rhl{C}
\refJ Chazelle,  Bernard;
An optimal algorithm for intersecting three-dimensional convex polyhedra;
\SJC; 21(4); 1992; 671--696;

%Chen1981c
\rhl{C}
\refJ Han-Lin,  C.;
Complex spline functions;
Scientia Sinica; 24; 1981; 160--169;

%Chen1994a
% carl
\rhl{C}
\refJ Chen, Dirong;
Best one-sided approximation of convolution classes by cardinal splines;
\JATA; 10(4); 1994; 110--117;

%Chen1995a
% carl
\rhl{C}
\refJ Chen, Debao;
Spline wavelets of small support;
\SJMA; 26(2); 1995; 500--517;
% certain dilated derivatives of a cardinal B-spline, e.g.,
% $(D^{k}N)(2\cdot| 0,\ldots, m+k)$ or $(D^{k}N)(2\cdot-1| 0,\ldots, m+k)$, is
% a wavelet

%ChenBabuska1995
% . 04mar10
\rhl{CB}
\refJ Chen, Q., Babu\v ska, Ivo;
Approximate optimal points for polynomial interpolation of real functions in
   an interval and in a triangle;
Comput.\ Methods.\ Appl.\ Mech.\ Engrg.; 128; 1995; 405--417;
% Fekete points

%ChenDR1994a
% carl
\rhl{C}
\refJ Chen,  Di-rong;
Perfect splines with boundary conditions of least norm;
\JAT; 77; 1994; 191--201;

%ChenDitzian1990a
% shayne 14sep95
\rhl{C}
\refJ Chen,  W., Ditzian, Z.;
Mixed and directional derivatives;
\PAMS; 108; 1990; 177--185;
% main result relies on a generalisation of a result of %Kellogg28
% Shayne has written a note about this

%ChenF1995
% carl 19nov95
\rhl{C}
\refJ Chen, Falai;
The best Lipschitz constants of Bernstein polynomials and Bezier nets over a
   given triangle;
\JATA; 11(2); 1995; 1--8;
% shape preserving

%ChenFeng1993
% shayne 22may98
\rhl{C}
\refJ Chen, Fa Lai, Feng, Yu Yu;
Limit of iterates for Bernstein polynomials defined on a triangle;
Appl.{} Math.{} J. Chinese Univ.\ Ser.\ B ; 8; 1993; 45--53;

%ChenFengKozak1997
% J. Kozak 14may99
\rhl{C}
\refJ Chen, F., Feng, Y. Y., Kozak, J.; 
Tracing a planar algebraic curve;
Applied Mathematics - A Journal of Chinese Universities; 12; 1997; 15--24;

%ChenG1987
\rhl{C}
\refD Chen,  G.;
Spline approach to optimal control problems with constraints;
Texas A\&M Univ.; 1987;

%ChenG1989
\rhl{C}
\refR Chen,  G.;
Optimal recovery of certain nonlinear analytic mappings;
Rice Univ.; 1989;

%ChenG1999
\rhl{C}
\refR Chen,  G.;
Reproducing kernel structure of thin plate splines over a circular domain
with boundary conditions;
xx; 19xx;

%ChenGChuiLaiMJ1988a
% . 20apr99
\rhl{CCL}
\refJ Chen, G., Chui, C. K., Lai, M. J.;
Construction of real-time spline quasi-interpolation schemes;
\ATA; 4; 1988; 61--75;
% CAT 107: 1986:

%ChenHL1978
\rhl{C}
\refJ Chen,  H. L.;
The order of error bounds for cubic spline functions (Chinese);
Acta Math.\  Appl.\  Sinica ; 1;	1978;  42--58;

%ChenHL1980
\rhl{C}
\refR Chen, Han-Lin;
Interpolation and approximation on the unit circle, Part I;
Trondheim; 1980;

%ChenHL1981
\rhl{C}
\refR Chen, Han-Lin;
Complex Harmonic Splines: Interpolation and approximation on the unit
circle, Part II;
Trondheim; 1981;

%ChenHL1981b
\rhl{C}
\refR Chen, Han-Lin;
The zeros of rational splines and complex splines;
Trondheim; 1981;

%ChenHL1981c
% . 10nov97
\rhl{C}
\refJ Chen, Han-Lin;
Complex spline functions;
Scientia Sinica; 24; 1981; 160--169;

%ChenHL1982
\rhl{C}
\refR Chen,  H. L.;
Interpolation by splines on finite and infinite planar sets;
Beijing; 1982;

%ChenHL1983a
% sonya
\rhl{C}
\refJ Chen,  Han Lin;
The zeros of rational splines and complex splines;
\JAT; 39; 1983; 308--319;

%ChenHL1983b
% sonya
\rhl{C}
\refJ Chen,  H. L.;
Quasi interpolating splines on the unit circle;
\JAT; 38; 1983; 312--318;

%ChenHL1984
\rhl{C}
\refR Chen,  H. L.;
On the uniqueness of the extremal function of Landau type problem for the
differential operator $L_{n1}$;
Beijing; 1984;

%ChenHL1985
% sonya
\rhl{C}
\refJ Chen,  H. L.;
Interpolation and approximation on the unit disk by complex harmonic
splines;
\JAT; 43; 1985; 112--123;

%ChenHL1985b
\rhl{C}
\refR Chen,  H. L.;
Some extremal problems;
Beijing; 1985;

%ChenHL2000
% . 20apr00
\rhl{}
\refB Chen, Han-lin;
Complex Harmonic Splines, Periodic Quasi-Waveletes: Theory and Applications;
Kluwer Academy Publisher (Netherlands); 2000;
% http://www.wkap.nl/book.htm/0-7923-6137-7

%ChenHLChui1993a
% sherm
\rhl{C}
\refJ Chen,  Han-Lin, Chui, C. K.;
On a generalized Euler spline and its applications to the study of
convergence in cardinal interpolation and solutions of certain extremal
problems;
\AMASH; 61; 1993; 219--233;

%ChenKozak1994
% J. Kozak 14may99
\rhl{C}
\refJ Chen, F., Kozak, J.;
The intersection of a triangular patch and a plane;
\JCM; 12; 1994; 138--146;
  
%ChenKozak1996
% J. Kozak 14may99
\rhl{C}
\refJ Chen, F., Kozak, J.;
On computing zeros of a bivariate Bernstein polynomial;
\JCM; 14; 1996; 237--248;

%ChenLi1994
% carl
\rhl{C}
\refJ Chen, Hongsen, Li, Bo;
Superconvergence analysis and error expansion for the Wilson nonconforming 
finite element;
\NM; 69(2); 1994; 125--140;
% optimal error, Wilson's brick, Irons patch test

%ChenT1999
\rhl{C}
\refR Chen,  T.;
Asymptotic expansion for splines;
Fudan; 19xx;

%ChenTChenHLiu1991
\rhl{C}
\refQ Chen,  T., Chen, H., Liu, R.;
A constructive proof and extension of Cybenko's approximation theorem;
(Computing Science and Statistics), xxx (ed.),
Proceedings of the 22nd Symposium on the Interface, 
Springer-Verlag (New York); 1991; 163--168;

%ChenTP1980
\rhl{C}
\refJ Chen,  T. P.;
Spline functions (Chinese);
Acta Math.\  Apl.\  Sinica; 3; 1980;  41--49;

%ChenTP1980b
\rhl{C}
\refJ Chen,  T. P.;
On Varma's lacunary interpolation by splines (Chinese);
Chinese Ann.\  Math.; 1; 1980; 75--82;

%ChenTP1981
\rhl{C}
\refJ Chen,  T. P.;
On some kinds of lacunary interpolation spline;
Acta.\  Math.\  Appl.\  Sin.; 4; 1981; 253--257;

%ChenTP1981b
\rhl{C}
\refJ Chen,  T. P.;
On error bounds for splines (Chinese);
Fudan Daxue Xueobao; 20; 1981; 15--22;

%ChenTP1981c
\rhl{C}
\refJ Chen,  T. P.;
On lacunary interpolating splines;
Sci.\  Sinica; 24; 1981; 606--617;

%ChenTP1981d
\rhl{C}
\refJ Chen,  T. P.;
A class of quintic lacunary interpolation splines with nonuniform
	 mesh (Chinese);
Chinese Ann.\  Math; 2; 1981; 311--318;

%ChenTP1982
\rhl{C}
\refJ Chen,  T. P.;
Error estimates and asymptotic expansion for Hermite splines (Chinese);
Fudan Xuebao; 4; 1982; 423--432;

%ChenTP1983
\rhl{C}
\refJ Chen,  T. P.;
Structural properties of functions described by splines (Chinese);
Chinese Ann.\  Math.\  Ser.\ A; 4; 1983; 379--383;

%ChenWLouck1996a
% carl 20nov03
\rhl{}
\refJ Chen, William Y. C., Louck, James;
Interpolation for symmetric functions;
\AiM; 117; 1996; 147--156;
% generalization of Lagrange formula;
% Let x_1,\ldots,x_n distinct points in \RR, let 0<k<n;
% if f in \Pi_{n-k,...,n-k}(\RR^k) is symmetric, then
% f(y_1,...,y_k) = \sum_{#I=k}f(x_i: i in I) \prod_{i; j\not in I}(y_i-x_j)
% / \prod_{i in I; j not in I}(x_i-x_j)

%ChenWLouck1996b
% carl 20nov03
\rhl{}
\refJ Chen, William Y. C., Louck, James;
The combinatorial power of the companion matrix;
\LAA; 232; 1996; 261--278;

%Cheney1966
\rhl{C}
\refB Cheney,  E. W.;
Introduction to Approximation Theory; 
McGraw-Hill (New York); 1966;

%Cheney1971
\rhl{C}
\refR Cheney,  E. W.;
Projections with finite carrier;
CNA 28; 1971;

%Cheney1976
\rhl{C}
\refR Cheney,  E. W.;
Projection operators in approximation theory;
CAT 115; 1976;

%Cheney1986a
\rhl{C}
\refB Cheney,  E. W.;
Multivariate Approximation Theory: Selected topics;
CBMS Vol.\ 51, SIAM (Philadelphia); 1986;

%Cheney1986b
% carl
\rhl{C}
\refP Cheney,  E. W.;
Algorithms for approximation;
\Neworleans; 67--80;

%Cheney1987
\rhl{C}
\refP Cheney,  E. W.;
Ill posed problems in multivariate Approximation;
\Chile; 13--18;

%CheneyLight1999
% carl 03dec99
\rhl{C}
\refB Cheney, Ward, Light, Will;
A Course in Approximation Theory;
Brooks/Cole (Pacific Grove CA); 1999;

%CheneyMorris1975
% larry
\rhl{C}
\refP Cheney,  E. W., Morris, P. D.;
The numerical determination of projection constants;
\NmatII; 29--40;

%CheneyPrice1970
\rhl{C}
\refQ Cheney,  E. W., Price, K.;
Minimal interpolating projections;
(ISNM 15), xxx (ed.), Birkh\"auser (Basel); 1970; 115--121;

%CheneyPrice1970b
% author 5dec96
\rhl{C}
\refP Cheney,  E. W., Price, K.;
Minimal projections;
\Talbot; 261--289;

%CheneySchurer1968
% sonya
\rhl{C}
\refJ Cheney,  E. W., Schurer, F.;
A note on the operators arising in spline approximation;
\JAT; 1; 1968; 94--102;

%CheneySchurer1970
% sonya
\rhl{C}
\refJ Cheney,  E. W., Schurer, F.;
Convergence of cubic spline interpolants;
\JAT ; 3; 1970;  114--116;

%CheneySharma1964a
% shayne 5dec96
\rhl{C}
\refJ Cheney, E. W., Sharma, A.;
Bernstein power series;
\CJM; 16; 1964; 241--252;
% approximation properties of Meyer--K\"onig and Zeller operator

%Cheng1983
\rhl{C}
\refJ Cheng,  Z. X.;
The convex interpolating spline curve;
J.  Math.\  Res.\  Expo.; 2; 1983;  51--66;

%Chernoff1980
% carl 21jan02
\rhl{}
\refJ Chernoff, P. R.;
Pointwise convergence of Fourier series;
\AMM; 87; 1980; 399--400;
% converges at every point $x_0$ for which $x\mapsto [x_0,x]f$ is integrable
% near $x_0$.
 
%Cheston1971
\rhl{C}
\refR Cheston,  G. A.;
On an extension of rational and spline approximation;
Masters Thesis, Univ.\ of Toronto; 1971;

%Chi1973
\rhl{C}
\refJ Chi,  C. H;
Curvilinear bicubic spline fit interpolation scheme;
Optica Acta;  20; 1973; 979--993;

%Chionh1990a
\rhl{C}
\refD Chionh,  E. W.;
Base points, resultants, and the implicit representation of rational surfaces;
University of Waterloo; 1990;

%ChionhGoldman1989a
\rhl{C}
\refR Chionh,  E. W., Goldman, R. N.;
On the existence and the coefficients of the implicit equation for a
rational surface;
preprint; 1989;

%ChionhGoldman1989b
\rhl{C}
\refR Chionh,  E. W., Goldman, R. N.;
A tutorial on resultants and elimination theory;
manuscript; 1989;

%ChionhZhangGoldman2000
% larry 20apr00
\rhl{}
\refP Chionh, Eng-Wee, Zhang, Ming, Goldman, Ronald;
Implicitization matrices in the style of Sylvester with the order
   of B\'ezout;
\Stmalod; 17--26;

%Chiyokura1988a
\rhl{C}
\refB Chiyokura,  H.;
Solid Modelling with DESIGNBASE: Theory and Implementation;
Addison-Wesley (Reading MA); 1988;

%ChiyokuraKimura1983a
\rhl{C}
\refJ Chiyokura,  H., Kimura, F.;
Design of solids with free-form surfaces;
Computer Graphics;  17; 1983; 289--298;

%ChiyokuraKimura1984a
\rhl{C}
\refJ Chiyokura,  H., Kimura, F.;
A new surface interpolation
method for irregular curve models;
Comp.\ Graph.\ Forum; 3; 1984; 209--218;

%ChiyokuraTakamuraKonnoandHarada1991a
\rhl{C}
\refP Chiyokura,  H., Takamura, T., Konno, K., Harada, T.;
$G^1$ surface interpolation over irregular meshes
with rational curves;
\Farinnion; 15--34;

%ChlamtacRosen1982
\rhl{C}
\refR Chlamtac,  M., Rosen, J. B.;
An improved multi-dimensional spline approximation by localized basis
augmentation;
U. Minn; 1982;

%ChoiShinYoonLee1988
% larry, carl
\rhl{C}
\refJ Choi, B. K., Shin, H. Y., Yoon, Y. I., Lee, J. W.;
Triangulation of scattered data in 3D space;
\CAD; 20(5); 1988; 239--248;
% algorithms, interpolation, domain.

%ChoiYooLee1990a
% . 5dec96
\rhl{C}
\refJ Choi, B. K., Yoo, W. S., Lee, C. S.;
Matrix representation for NURB curves and surfaces;
\CAD; 22(4); 1990; 235--240;

%Chou1989a
\rhl{C}
\refD Chou,  J. J.;
Numerical control milling machine toolpath generation for regions
	bounded by free form curves and surfaces;
University of Utah, Computer Science Department;
	June 1989;

%ChouCohen1989
\rhl{C}
\refR Chou,  J. J., Cohen, E.;
Constant scallop height tool path generation;
Univ.\ of Utah, Techn.\ Report UUCS-89-011; 1989;

%ChouSuWang1983
\rhl{C}
\refP Chou,  Y. S., Su, L. Y., Wang, R. H.;
The dimensions of bivariate spline spaces over triangulations;
\MvatIII; 71--83;

%Chow1978
% larry
\rhl{C}
\refD Chow,  J.;
Uniqueness of best $L_2[0,1]$ approximation by piecewise polynomials with
variable break points;
Texas A\&M; 1978;

%Christara1990
% Christina Christara 02feb01
\rhl{}
\refJ Christara, C. C.;
Schur complement preconditioned conjugate gradient methods for spline
   collocation equations;
Computer Architecture News; 18(3); 1990; 108--120;

%Christara1994
% .
\rhl{C}
\refJ Christara, C. C.;
Quadratic spline collocation methods for elliptic partial differential 
   equations;
BIT; 34(1); 1994; 33--61;

%Christara1996
% Christina Christara 02feb01
\rhl{}
\refJ Christara, C. C.;
Parallel solvers for spline collocation equations;
Advances in Engineering Software; 27(1/2); 1996; 71--89;

%ChristaraSmith1997
% Christina Christara 02feb01
\rhl{}
\refJ Christara, C. C., Smith, B. F.;
Multigrid and multilevel methods for quadratic spline collocation;
BIT; 34(4); 1997; 781--803;

%Christensen2003
% shayne 08apr04
\rhl{}
\refB Christensen, O.;
An introduction to frames and Riesz bases;
Birkh\"auser (Boston); 2003;

%ChristensenChristensen2004
% carl 03apr06
\rhl{}
\refB Christensen, Ole, Christensen, Khadija L.;
Approximation Theory: From Taylor Polynomials to Wavelets;
Birkh\"auser (Basel); 2004;

%ChristieMoriarty1979
\rhl{C}
\refJ Christie,  M. A., Moriarty, K. J.;
A bicubic spline interpolation of unequally spaced data;
Comp.\ Phys.\ Comm.;  17; 1979; 357--364;

%Chui1984
\rhl{C}
\refJ Chui,  C. K.;
Bivariate quadratic splines on crisscross triangulations;
Proc.\ First Army Conf.\ Appl.\ Math.\ Comp.;  1; 1984; 877--882;

%Chui1985
\rhl{C}
\refJ Chui,  C. K.;
B--splines on nonuniform triangulations;
Trans.\ Second Army Conf.\ Appl.\ Math.\ Comp.;  2; 1985; 939--942;

%Chui1987
\rhl{C}
\refQ Chui,  C. K.;
Approximations and expansions;
(Encylopedia of Physical Science and Technology, Vol.\ 1), xxx (ed.),
Academic Press (New York); 1987; 661--687;

%Chui1988
\rhl{C}
\refB Chui,  C. K.;
Multivariate Splines; 
CBMS-NSF Reg.\ Conf.\ Series in Appl.\  Math., vol.\ 54, SIAM (Philadelphia); 1988;

%Chui1990
\rhl{C}
\refR Chui,  C. K.;
Wavelets and spline interpolation;
Texas A\&M Univ.; 1990;

%Chui1992a
\rhl{C}
\refB Chui,  C.;
An Introduction to Wavelets;
Academic Press (Boston); 1992;

%Chui1992b
\rhl{C}
\refP Chui,  Charles K.;
Wavelets -- with emphasis on spline-wavelets and applications to signal
analysis;
\SinghII; 19--39;

%ChuiDeutschWard1990
\rhl{C} 04mar10
\refJ Chui,  C. K., Deutsch, F., Ward, J. D.;
Constrained best approximation in Hilbert space;
% CAT 151; 1987;
\CA; 6(1); 1990; 35--64;

%ChuiDeutschWard1992
\rhl{C} 04mar10
\refJ Chui,  C. K., Deutsch, F., Ward, J. D.;
Constrained best approximation in Hilbert space. II;
\JAT; 71(2); 1992; 213--238;

%ChuiDiamond1987
\rhl{C}
\refJ Chui,  C. K., Diamond, H.;
A natural formulation of quasi-interpolation by multivariate splines;
\PAMS; 99; 1987; 643--646;

%ChuiDiamond1990
% carl
\rhl{C}
\refJ Chui,  Charles K., Diamond, Harvey;
A characterization of multivariate quasi-interpolation formulas and its
applications;
\NM; 57; 1990; 105--121;

%ChuiDiamond1991
% carl
\rhl{C}
\refJ Chui,  Charles K., Diamond, Harvey;
A general framework for local interpolation;
\NM; 58; 1991; 569--581;

%ChuiDiamondRaphael1984a
% sonya
\rhl{C}
\refJ Chui,  C. K., Diamond, H., Raphael, L. A.;
Best local approximation in several variables;
\JAT; 40; 1984; 343--350;

%ChuiDiamondRaphael1984b
% larry
\rhl{C}
\refJ Chui,  C. K., Diamond, H., Raphael, L. A.;
On best data approximation;
\ATA; 1; 1984; 37--56;

%ChuiDiamondRaphael1988a
\rhl{C}
\refQ Chui,  C. K., Diamond, H., Raphael, L. A.;
Convexity-preserving quasi-interpolation and interpolation by box 
spline surfaces;
(Transactions of the Fifth Army Conference on Applied Mathematics and 
Computing), xxx (ed.), U.S.\ Army Res.\ Office (Research Triangle Park NC);
1988; 301--310;

%ChuiDiamondRaphael1988b
% carl
\rhl{C}
\refJ Chui, Charles K., Diamond, Harvey, Raphael, Louise A.;
Interpolation by multivariate splines;
\MC; 51(183); 1988; 203--218;
% optimal order, box splines, fundamental function, numerical implimentation.

%ChuiDiamondRaphael1989
\rhl{C}
\refJ Chui,  C. K., Diamond, H., Raphael, L.;
Shape-preserving quasi-interpolation and interpolation by box spline 
surfaces;
\JCAM;
25;
1989;
169--198;

%ChuiDiamondRaphael1999
\rhl{C}
\refJ Chui,  C. K., Diamond, H., Raphael, L. A.;
Interpolation by bivariate quadratic splines on nonuniform rectangles;
Trans.\ Fourth Army Conf.\ Appl.\ Math.\ Comp; XX; XX; XX;

%ChuiHe1986b
\rhl{C}
\refR Chui,  C. K., He, Tian-Xiao;
Computation of minimal and quasi-minimal supported bivariate splines;
CAT 135, Texas A \& M University; 1986;

%ChuiHe1987
% larry
\rhl{C}
\refP Chui,  C. K., He, Tian-Xiao;
On the location of sample points in $C^1$ quadratic bivariate spline 
interpolation;
\NmatVIII; 30--42;

%ChuiHe1988c
% sonya
\rhl{C}
\refJ Chui,  C. K., He, Tian-Xiao;
On minimal and quasi-minimal supported bivariate splines;
\JAT; 52; 1988; 217--238;

%ChuiHe1989a
% larry, carl
\rhl{C}
\refJ Chui, Charles K., He, Tian-Xiao;
On the dimension of bivariate super-spline spaces;
\MC; 53(187); 1989; 219--234;
% dimension, lower and upper bound, quasi-crosscut partition,
% type-1 and type-2 triangulations, dimension criterion.

%ChuiHe1990a
% larry, carl
\rhl{C}
\refJ Chui, Charles K., He, Tian-Xiao;
Bivariate $C^1$ quadratic finite elements and vertex splines;
\MC; 54(189); 1990; 169--187;
% interpolation, quasi-interpolation, macroelements.

%ChuiHe1990b
% LLS Lai-Schumaker book
\rhl{ChuH90c}
\refJ Chui,  C. K., He, Tian-Xiao;
Computation of minimal and quasi-minimal supported bivariate splines
   and quasi-minimal supported bivariate splines;
\JCM; 8; 1990; 108--117;

%ChuiHe1990c
% LLS Lai-Schumaker book
\rhl{ChuH90b}
\refJ Chui, C. K., He, T. X.;
Corrigenda: On the dimension of bivariate superspline spaces;
\MC; 55; 1990; 407--409;
% see ChuiHe89a

%ChuiHeHsu1988
% sonya
\rhl{C}
\refJ Chui,  C. K., He, Tian-Xiao, Hsu, L. C.;
On a general class of multivariate linear smoothing operators;
\JAT; 55; 1988; 35--48;

%ChuiHeWang1986
% author
\rhl{C}
\refP Chui,  C. K., He, Tian-Xiao, Wang, Ren-Hong;
Interpolation by bivariate linear splines;
\Szabados; 247--255;

%ChuiHeWang1987
\rhl{C}
\refJ Chui,  C. K., He, Tian-Xiao, Wang, Ren-Hong;
The $C^2$ quartic spline space on a four-directional mesh;
\ATA; 3; 1987; 32--36;

%ChuiHongD1994a
% carl
\rhl{C}
\refR Chui,  C. K., Hong, Dong;
Construction of local $C^1$ quartic spline elements for optimal order
approximation;
CAT Report \#301, Texas A\&M University, May; 1994;

%ChuiHongD1996
% Hong Dong 12mar97
\rhl{C}
\refJ Chui, Charles K., Hong, Dong;
Construction of local $C^1$ quartic spline elements for optimal-order 
   approximation;
\MC; 65(213); 1996; 85--98;

%ChuiHongD1997
% Hong Dong 12mar97
\rhl{C}
\refJ Chui, Charles K., Hong, Dong;
Swapping edges of arbitrary triangles to achieve the optimal order of
   approximation;
\SJNA; 34(4); 1997; xx--xx;

%ChuiHongDJia1995
% Hong Dong 12mar97
\rhl{C}
\refJ Chui, C. K., Hong, Dong, Jia, Rong-Qing;
Stability of optimal-order approximation by bivariate splines over arbitrary
   triangulations;
\TAMS; 347(9); 1995; 3301--3318;

%ChuiHongDWuST1994
% LLS Lai-Schumaker book
\rhl{ChuHoW94}
\refJ Chui, C. K., Hong, D.,  Wu, S. T.;
On the degree of multivariate Bernstein polynomial operators;
\JAT; 78; 1994; 77--86;

%ChuiHongJia1993
% carl
\rhl{C}
\refR Chui,  C. K., Hong, Dong, Jia, Rong-Qing;
Stability of optimal order approximation by bivariate splines over arbitrary
triangulations;
CAT Rep.\ \#291, Texas A \& M Univ., March; 1993;

%ChuiHu1983
% larry
\rhl{C}
\refP Chui,  C. K., Hu, Y-S.;
Geometric properties of certain bivariate splines;
\TexasIV; 407--412;

%ChuiJetterWard1987
% carl
\rhl{C}
\refJ Chui, Charles K., Jetter, K., Ward, J. D.;
Cardinal interpolation by multivariate splines;
\MC; 48(178); 1987; 711--724;
% scaled cardinal interpolation, Fourier transform, discrete Fourier
% transform, box splines, Marsden identity.

%ChuiJetterWard1992
% sherm
\rhl{C}
\refJ Chui,  C. K., Jetter, K., Ward, J. D.;
Cardinal interpolation with differences of tempered functions;
\CMA; 24; 1992; 35--48;

%ChuiLai1992
% ming LLS Lai-Schumaker book
\rhl{ChuL92}
\refJ Chui, C. K., Lai, M. J.;
Algorithms for generating B-nets  and graphically displaying box spline 
   surfaces;
\CAGD; 8; 1992; 479--493;

%ChuiLaiMJ1985
% . 20apr99
\rhl{C}
\refP Chui,  C. K., Lai, M. J.;
On bivariate vertex splines;
\MvatIII; 84--115;

%ChuiLaiMJ1987a
% greg 20apr99
\rhl{C}
\refJ Chui,  C. K., Lai, M.-J.;
A multivariate analog of Marsden's identity and a
   quasi-interpolation scheme;
\CA; 3; 1987; 111--122;

%ChuiLaiMJ1987b
% . 20apr99
\rhl{C}
\refP Chui,  C. K., Lai, M. J.;
On multivariate vertex splines and applications;
\Chile; 19--36;

%ChuiLaiMJ1987c
% mjlai 20apr99
\rhl{C}
\refP Chui,  C. K., Lai, Ming-Jun;
Vandermonde determinants and Lagrange interpolation in $\RR^s$;
\Lin; 23--35;
% proceedings incorrectly gives second author as Lai, Hang-Chin
% GascaSauer give proceedings date as 1988
% Gives explicit formula for Vandermonde determinant for bivariate Radon sites,
% called here Node Configuration A or NCA:
% $(c\prod_{k=1}^n\prod_{\dim\Pi_{k-1}<j<i\le\dim\Pi_k\dist(x_i,x_j))\times$
% $\prod_{p=1}^n\prod_{q\le\dim\Pi_{p-1}\dist(x_q,H_p)$ with $H_p$ the plane
% containing $p+1$ of the sites.
% Generalizes to multivariate, as well as to confluent sites including
% the confluent limit of two lines having altogether 3 sites on it; strange.

%ChuiLaiMJ1987e
% . 20apr99
\rhl{C}
\refJ Chui,  C. K., Lai, Ming Jun;
Computation of box splines and B-splines on triangulations of
	 nonuniform rectangular partitions;
\ATA; 3; 1987; 27--62;

%ChuiLaiMJ1990
% larry 20apr99
\rhl{C}
\refJ Chui,  C. K., Lai, M. J.;
On bivariate super vertex splines;
\CA; 6; 1990; 399--419;

%ChuiLaiMJ1990b
% sonya 20apr99
\rhl{C}
\refJ Chui,  C. K., Lai, Ming-jung;
Multivariate vertex splines and finite elements;
\JAT; 60; 1990; 245--343;

%ChuiLaiMJ1991
% . 20apr99
\rhl{C}
\refJ Chui,  C. K., Lai, M. J.;
% larry
Algorithms for generating B-nets and graphically displaying
   spline surfaces on three- and four-directional meshes;
\CAGD; 8; 1991; 479--493;

%ChuiLaiMJBowers1988
% . 20apr99
\rhl{C}
\refR Chui,  C. K., Lai, M. J., Bowers, S. R.;
An algorithm for generating B-nets and graphically displaying box-splines
   surfaces;
CAT Report 181, Texas A\&M University;
1988;

%ChuiLi1992a
% carl
\rhl{C}
\refJ Chui,  C. K., Li, Xin;
Approximation by ridge functions and neural networks with one hidden layer;
\JAT; 70; 1992;  131--141;

%ChuiLi1992b
\rhl{C}
\refQ Chui,  C., Li, X.;
Realization of neural networks with one hidden layer;
(Georg Friedrich Bernhard Riemann: a mathematical legacy), 
Rassias, T. M. and H. M. Srivastava (eds.), World Sci.\ Publ.\ Corp.{} (xxx); 
1992; xxx--xxx;

%ChuiLorentzSchumaker1976
\rhl{C}
\refB Chui,  C. K., Lorentz, G. G., (eds.), L. L. Schumaker;
Approximation Theory II;
Academic Press (New York); 1976;

%ChuiRon1991
\rhl{C}
\refJ Chui,  C. K., Ron, A.;
On the convolution of a box spline with a compactly supported distribution:
linear independence for the integer translates;
\CJM; 43; 1991; 19--33;

%ChuiRozemaSmithWard1976a
% . 19may96
\rhl{C}
\refJ Chui, C. K., Rozema, E. R., Smith, P. W., Ward, J. D.;
Simultaneous spline approximation and interpolation preserving norms;
\PAMS; 54; 1976; 98--100;
% SAIN

%ChuiSchumaker1982
\rhl{C}
\refP Chui,  C. K., Schumaker, L. L.;
On spaces of piecewise polynomials with boundary
	 conditions, I. Rectangles;
\MvatII; 69--80;

%ChuiSchumakerUtreras1986
\rhl{C}
\refB Chui,  C. K., Schumaker, L. L., (eds.), F. Utreras;
Topics in Multivariate Approximation;
Academic Press (New York); 1987;

%ChuiSchumakerWang1983
% . 23may95
\rhl{C}
\refJ Chui,  C. K., Schumaker, L. L., Wang, Ren Hong;
On spaces of piecewise polynomials with boundary
  conditions, II, Type-1 triangulations;
\CMSCP; 3; 1983; 51--66;

%ChuiSchumakerWang1983b
% . 23may95
\rhl{C}
\refJ Chui,  C. K., Schumaker, L. L., Wang, Ren Hong;
On spaces of piecewise polynomials with boundary
  conditions, III, Type-2 triangulations;
\CMSCP; 3; 1983; 67--80;

%ChuiSchumakerWard1983
\rhl{C}
\refB Chui,  C. K., Schumaker, L. L., (eds.), J. D. Ward;
Approximation Theory IV;
Academic Press (New York); 1983;

%ChuiSchumakerWard1986
\rhl{C}
\refB Chui,  C. K., Schumaker, L. L., (eds), J. D. Ward;
Approximation Theory V;
Academic Press (New York); 1986;

%ChuiShi1985
\rhl{C}
\refR Chui,  C. K., Shi, X.-L.;
Characterization of weights in best rational weighted approximation of
piecewise smooth functions I;
CAT 96; 1985;

%ChuiShi1991
% larry
\rhl{C}
\refP Chui,  C. K., Shi, X.;
Wavelets and multiscale interpolation;
\Biri; 111--133;

%ChuiShi1991a
\rhl{C}
\refR Chui,  C. K., Shi, X. L.;
Inequalities of Littlewood-Paley type
for frames and wavelets,
CAT Report  \#249; Texas A\&M University; 1991;

%ChuiShi1991b
\rhl{C}
\refR Chui,  C. K., Shi, X. L.;
Characterizations of scaling
functions and wavelets,
CAT Report \#259; Texas A\&M University; 1991;

%ChuiShi1991c
\rhl{C}
\refR Chui,  C. K., Shi, X. L.;
On a Littlewood-Paley identity and
characterization of wavelets,
CAT Report \#250; Texas A\&M University; 1991;

%ChuiShi1997
% larry 10sep99
\rhl{CS}
\refP Chui, C. K., Shi, X.;
A study of biorthogonal sinusoidal wavelets;
\ChamonixIIIb; 51--66;

%ChuiSmith1974b
% carl
\rhl{C}
\refJ Chui,  Charles K., Smith, Philip W.;
On $H^{m,\infty}$ splines;
\SJNA; 11; 1974; 554--558;

%ChuiSmith1975
% sonya
\rhl{C}
\refJ Chui,  C. K., Smith, P. W.;
Some nonlinear spline approximation problems related to $n$-widths;
\JAT; 13; 1975; 421--430;

%ChuiSmith1980
% larry
\rhl{C}
\refJ Chui,  C. K., Smith, P. W.;
An application of spline approximation with variable knots
	 to optimal estimation of the derivative;
\SJMA; 11; 1980;  724--736;

%ChuiSmithWard1976
\rhl{C}
\refJ Chui,  C. K., Smith, P. W., Ward, J. D.;
Favard's solution is the limit of $W^k_p$-splines;
\TAMS; 220; 1976; 299--305;

%ChuiSmithWard1976b
\rhl{C}
\refJ Chui,  C., Smith, P. W., Ward, J.;
Preferred NBV-splines;
\JMAA; 55; 1976; 18--31;

%ChuiSmithWard1977
% larry
\rhl{C}
\refR Chui,  C. K., Smith, P. W., Ward, J. D.;
Best $L_2$ approximation from nonlinear spline manifolds: II. Application
to optimal quadrature formulae;
ARO Report 77-3, U. S. Army, 361--366; 1977;

%ChuiSmithWard1977b
% carl
\rhl{C}
\refJ Chui, Charles K., Smith, Philip W., Ward, Joseph D.;
On the smoothness of best $L_2$ approximants fron nonlinear spline
manifolds;
\MC; 31(137); 1977; 17--23;

%ChuiSmithWard1978
\rhl{C}
\refR Chui,  C. K., Smith, P. W., Ward, J. D.;
Comparing digital filters which produce derivative approximations;
ARO Report 78-3, U. S. Army, 111--116; 1978;

%ChuiSmithWard1980
% larry
\rhl{C}
\refP Chui,  C. K., Smith, P. W., Ward, J. D.;
Monotone approximation by spline functions;
\BonnII; 81--98;

%ChuiSmithWard1980b
\rhl{C}
\refJ Chui,  C. K., Smith, P. W., Ward, J. D.;
Degree of $L_p$ approximation by monotone splines;
\SJMA; 11; 1980; 436--447;

%ChuiSmithWard1982
% .
\rhl{C}
\refJ Chui, C. K., Smith, P. W., Ward, J. D.;
Cholesky factorization of positive definite biinfinite matrices;
\NFAO; 5; 1982; 1--20;

%ChuiSmithWard1989b
\rhl{C}
\refR Chui,  C. K., Smith, P. W., Ward, J. D.;
Unicity of nonlinear second order spline approximation in $L_2$;
xx; 1989;

%ChuiSmithWard1989c
\rhl{C}
\refR Chui,  C. K., Smith, P. W., Ward, J. D.;
Best $L_2$ local approximation;
xx; 1989;

%ChuiStocklerWard1989a
\rhl{C}
\refR Chui,  C. K., St\"ockler, J., Ward, J. D.;
Bivariate cardinal interpolation with a shifted box-spline on a 
three-directional mesh;
CAT Report 188, Texas A\&M University; 1989;

%ChuiStocklerWard1989b
% larry
\rhl{C}
\refP Chui,  C. K., St\"ockler, J., Ward, J. D.;
Cardinal interpolation with shifted box-splines;
\TexasVI; 141--144;

%ChuiStocklerWard1991a
\rhl{C}
\refJ Chui,  C. K., St\"ockler, J., Ward, J. D.;
Invertibility of shifted box spline interpolation operators;
\SJMA; 22; 1991; 543--553;

%ChuiStocklerWard1992a
% sherm, carl
\rhl{C}
\refJ Chui, Charles K., St\"ockler, J., Ward, John D.;
A Faber series approach to cardinal interpolation;
\MC; 58(197); 1992; 255--273;
% Faber polynomials, symbols.

%ChuiStocklerWard1992b
% sherm
\rhl{C}
\refJ Chui,  C. K., St\"ockler, J., Ward, J. D.;
Compactly supported box spline wavelets;
% CAT Report, Texas A\&M University {\bf 230}: 1991:
\ATA; 8; 1992; 77--100;

%ChuiStocklerWard1993
% carl
\rhl{C}
\refR Chui,  C. K., St\"ockler, J., Ward, J. D.;
Analytic wavelets generated by radial functions;
CAT Report 317, Texas A\&M ; 1993;

%ChuiStocklerWard9xa
\rhl{C}
\refR Chui,  C. K., St\"ockler, J., Ward, J.;
Singularity of cardinal interpolation with shifted box splines;
CAT Report \#217, Texas A\&M University; 1990;

%ChuiWang1981
\rhl{C}
\refR Chui,  C. K., Wang, Ren Hong;
On smooth multivariate spline functions;
xx; 1981;

%ChuiWang1982a
\rhl{C}
\refJ Chui,  C. K., Wang, Ren Hong;
A generalization of univariate splines with equally
	 spaced knots to multivariate splines;
J. Math.\ Res.\ Exposit.;  2; 1982; 99--104;

%ChuiWang1982b
\rhl{C}
\refJ Chui,  C. K., Wang, Ren Hong;
Bases of bivariate spline spaces with cross-cut grid partitions;
J. Math.\ Res.\ Exposit.;  2; 1982; 1--4;

%ChuiWang1983a
\rhl{C}
\refJ Chui,  C. K., Wang, Ren Hong;
Multivariate spline spaces;
\JMAA; 94; 1983; 197--221;

%ChuiWang1983b
\rhl{C}
\refJ Chui,  C. K., Wang, Ren Hong;
Multivariate B-splines on triangulated rectangles;
\JMAA; 92; 1983; 533--551;

%ChuiWang1983c
% carl
\rhl{C}
\refJ Chui, Charles K., Wang, Ren-Hong;
On smooth multivariate spline functions;
\MC; 41(163); 1983; 131--142;
% total degree, B-splines, conformality condition, basis, cross-cuts.

%ChuiWang1983d
\rhl{C}
\refJ Chui,  C. K., Wang, Ren Hong;
Bivariate cubic B-splines relative to cross-cut triangulations;
Chinese Annals Math.;  4; 1983; 509--523;

%ChuiWang1983e
% larry
\rhl{C}
\refP Chui,  C. K., Wang, Ren Hong;
Bivariate B-splines on triangulated rectangles;
\TexasIV; 413--418;

%ChuiWang1984a
% larry
\rhl{C}
\refJ Chui,  C. K., Wang, Ren Hong;
Spaces of bivariate cubic and quartic splines on type-1 triangulations;
\JMAA; 101; 1984; 540--554;

%ChuiWang1984b
\rhl{C}
\refJ Chui,  C. K., Wang, Ren Hong;
On a bivariate B-spline basis;
Scientia Sinica;  27; 1984; 1129--1142;

%ChuiWang1984c
% larry
\rhl{C}
\refJ Chui,  C. K., Wang, Ren Hong;
Concerning $C^1$ B-splines on triangulations of non-uniform
rectangular partitions;
\ATA;  1; 1984; 11--18;

%ChuiWangJZ1991a
% hogan 14sep95
\rhl{C}
\refJ Chui, C. K., Wang, Jian-Zhong;
A cardinal spline approach to wavelets;
\PAMS; 113(3); 1991; 785--793;

%ChuiWangJZ1991b
\rhl{C}
\refR Chui,  C. K., Wang, Jianzhong;
Computational and algorithmic aspects of cardinal spline-wavelets;
Texas A\&M Univ.; xxx;

%ChuiWangJZ1992a
\rhl{C}
\refJ Chui,  C. K., Wang, Jianzhong;
On compactly supported spline wavelets and a duality principle;
\TAMS; 330; 1992; 903--915;

%ChuiWangJZ1992b
% carl
\rhl{C}
\refJ Chui,  C. K., Wang, Jianzhong;
A general framework of compactly supported splines and wavelets;
\JAT; 71(3); 1992; 263--304;

%ChuiWangJZ1993a
% carl
\rhl{C}
\refJ Chui,  C. K., Wang, Jianzhong;
An analysis of cardinal spline-wavelets;
\JAT; 72(1); 1993; 54--68;

%ChuiWangJZ1994a
% larry
\rhl{C}
\refP Chui, Charles, Wang, Jianzhong;
A study of compactly supported scaling functions and wavelets;
\ChamonixIIb; 121--140;

%ChuiWangJZ1994b
% .
\rhl{C}
\refJ Chui, Charles K.,  Wang, Jian-Zhong;
Quasi-interpolation functionals on spline spaces;
\JAT; 76(3); 1994; 303--325; 

%Chung1980
\rhl{C}
\refJ Chung,  W. L.;
Automatic curve fitting using an adaptive local algorithm;
\ACMTMS; 6; 1980; 45--57;

%ChungYao1977
% carl
\rhl{C}
\refJ Chung,  K. C., Yao, T. H.;
On lattices admitting unique Lagrange interpolations;
\SJNA; 14(3); 1977; 735--743;

%Ciarlet1974
\rhl{C}
\refJ Ciarlet,  P. G;
Sur  l'\'element de Clough et Tocher;
\RAIROAN; 8; 1974; 19--27;

%Ciarlet1978
% carl
\rhl{C}
\refJ Ciarlet, Philippe G.;
Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle;
\MC; 32(142); 1978; 335--344;

%Ciarlet1978b
% . 26oct95
\rhl{C}
\refB Ciarlet,  P. G.;
The Finite Element Method for Elliptic Problems;
North-Holland (Netherlands); %Pub. Co.
1978;
% is contained in CiarletLions91

%CiarletLions1991a
% . 26oct95
\rhl{C}
\refB Ciarlet, P. G., Lions, J. L.;
Handbook of Numerical Analysis, v.\ II, Finite Element Methods (Part 1);
North-Holland (Amsterdam); 1991;
% contains Ciarlet78 as its first chapter

%CiarletRaviart1971
% larry
\rhl{C}
\refJ Ciarlet,  P. G., Raviart, P. A.;
Interpolation de Lagrange dans $\RR^n$;
\CRASP;  273; 1971; 578--581;

%CiarletRaviart1972
% larry
\rhl{C}
\refJ Ciarlet,  P. G., Raviart, P. A.;
Interpolation de Lagrange sur des \'elements finis courbes dans $\RR^n$;
\CRASP; 274; 1972; 640--643;

%CiarletRaviart1972b
\rhl{C}
\refJ Ciarlet,  P. G., Raviart, P. A.;
General Lagrange and Hermite interpolation in $\RR^N$ with
   applications to finite element methods;
Arch.\ Rational Mech.\ Anal.; 46; 1972; 177--199;

%CiarletRaviart1972c
\rhl{C}
\refJ Ciarlet,  P. G., Raviart, P. A.; 07may96
Interpolation theory over curved elements,
   with applications to finite element methods;
Computer Methods in Appl.\ Mech.\ Eng.; 1; 1972; 217--249;

%CiarletWagschal1971
% carl
\rhl{C}
\refJ Ciarlet,  P., Wagschal, C.;
Multipoint Taylor formulas and applications to the finite element method;
\NM; 17; 1971; 84--100;
% interpolation, multivariate, linear and quadratic at simplex points, cubic
% at `modified' simplex points ,i.e., centers of 2-faces and  (d+1) points
% at each vertex. Excited by %Zlamal68. First use of multipoint Taylor, except
% for Kowalewski in the univariate case (see %DavisP63)

%CiavaldiniNedelec1974
% .
\rhl{C}
\refJ Ciavaldini,  J. F., N\'ed\'ec, J. C.;
Sur l'\'el\'ement de Fraeijs de Veubeke et Sander;
\RAN; 2; 1974; 29--45;

%Ciesielski1963
% . 26aug98
\rhl{C}
\refJ Ciesielski, Z.;
Properties of the orthonormal Franklin system;
\SM; 23; 1963; 141--157;

%Ciesielski1969
% larry
\rhl{C}
\refJ Ciesielski,  Z.;
A construction of basis in $C^{(1)}(I^2)$;
Studia Math.; 33; 1969; 243--247;

%Ciesielski1970
\rhl{C}
\refQ Ciesielski,  Z.;
Construction of an orthonormal basis in $C^m(I^d)$;
(Constructive Function Theory, '69), xxx (ed.), xxx (Sofia); 1970; 147--150;

%Ciesielski1974
% . 02feb01
\rhl{C}
\refQ Ciesielski,  Z.;
Bases and approximation by splines;
(Proc.\ Intern.\ Congr.\ Mathem., Vancouver, vol.II),
xxx (ed.), xxx (xxx); 1974; 47--51;
% was Ciesielski75: (Edmonton Conference), xxx (ed.), xxx (xxx): 1975: 47--51:

%Ciesielski1975b
\rhl{C}
\refP Ciesielski,  Z.;
Spline bases in function spaces;
\CiesielskiI; 49--54;

%Ciesielski1975c
% larry
\rhl{C}
\refJ Ciesielski,  Z.;
Constructive function theory and spline systems;
Studia Math.; 53; 1975; 277--302;

%Ciesielski1976
% .
\rhl{C}
\refB Ciesielski,  Z.;
Theory of Spline Functions (in Polish);
Gda\~nsk University (xxx); 1976;

%Ciesielski1978
\rhl{C}
\refP Ciesielski,  Z.;
Convergence of splines expansions;
\ButzerIII; 433--448;

%Ciesielski1979a
% sherm, update editor, publisher
\rhl{C}
\refQ Ciesielski,  Z.;
Equivalence, unconditionality and convergence a.e.\ of the spline bases
in $L^p$ spaces;
(Banach Center Publication Vol.\ 4), Z. Ciesielski (ed.), PWN
(Warszawa); 1979; 55--68;

%Ciesielski1979b
\rhl{C}
\refQ Ciesielski,  Z.;
Probabilistic and analytic formulas for the periodic
	 splines interpolating with multiple nodes;
(Banach Center Publication Vol.\ 5, PWN), xxx (ed.), xxx (Warszawa); 1979; 
35--45;

%Ciesielski1980b
\rhl{C}
\refQ Ciesielski,  Z.;
Equivalence and shift property of spline bases in $L_p$ spaces;
(Constructive Function Theory, '77), xxx (ed.), xxx (Sofia); 1980; 281--291;

%Ciesielski1981
% Proceedings update
\rhl{C}
\refP Ciesielski,  Z.;
The Franklin orthogonal system as unconditional basis in Re $H^1$ and
VMO;
\ButzerIV; 117--125;

%Ciesielski1985a
% .
\rhl{C}
\refP Ciesielski,  Z.;
Biorthogonal system of polynomials on the standard simplex;
\MvatIII; 116--119;

%Ciesielski1986
% scherer
\rhl{C}
\refJ Ciesielski, Z.;
On the B-spline basis in the space of algebraic polynomials;
Ukr.\ mat.\ journ.; 38; 1986; 359--364;

%Ciesielski1987
% shayne 03apr06
\rhl{}
\refJ Ciesielski, Z.;
Explicit formula relating the Jacobi, Hahn and Bernstein polynomials;
\SJMA; 18(6); 1987; 1573--1575;

%Ciesielski1999
\rhl{C}
\refR Ciesielski,  Z.;
Approximation by splines and its application to Lipschitz classes and to
stochastic processes;
xx; 19xx;

%Ciesielski1999b
\rhl{C}
\refR Ciesielski,  Z.;
Probabilistic and analytic formulas for the periodic spline interpolations
with multiple nodes;
xx; 19xx;

%Ciesielski1999c
\rhl{C}
\refQ Ciesielski,  Z.;
Approximation by spline functions and an orthonormal basis
in $C^{(1)}(I^2)$;
(Conference on Constructive Theory of Functions),  xxx (ed.), Hungarian
Academy of Sciences (xxx); 19xx; 85--88;

%Ciesielski2000
% larry 20apr00
\rhl{}
\refP Ciesielski, Zbigniew;
Bases in function spaces on compact sets;
\Stmalof; 121--134;

%CiesielskiDomsta1971
\rhl{C}
\refJ Ciesielski,  Z., Domsta, J.;
On two representations of spline functions;
Zeszyty Nauk.\ Wydzialu Matem.\ Univ.\ Gdansk; 1; 1971; 27--37;

%CiesielskiDomsta1972a
%  19may96
\rhl{C}
\refJ Ciesielski,  Z., Domsta, J.;
Construction of an orthonormal basis in $C^m(I^d)$ and $W_p^m(I^d)$;
\SM; 41; 1972; 211--224;

%CiesielskiDomsta1972b
% larry 19may96
\rhl{C}
\refJ Ciesielski,  Z., Domsta, J.;
Estimates for the spline orthonormal functions and for their derivatives;
\SM; 44; 1972; 315--320;

%CiesielskiFigiel1982
% larry
\rhl{C}
\refJ Ciesielski,  Z., Figiel, T.;
Spline approximation and Besov spaces on compact manifolds;
Studia Mathematica; 75; 1982; 13--36;

%CiesielskiFigiel1982b
% . 02feb01
\rhl{}
\refJ Ciesielski, Z., Figiel, T.;
Spline bases in classical function spaces on compact manifolds;
\SM; LXXV; 1982; 13--36;

%CiesielskiFigiel1983
% larry
\rhl{C}
\refJ Ciesielski,  Z., Figiel, T.;
Spline bases in classical function spaces on compact $C^\infty$
manifolds, Part II;
Studia Mathematica; 76; 1983; 95--136;

%CiesielskiKwapien1979
\rhl{C}
\refJ Ciesielski,  Z., Kwapien, S.;
Some properties of the Haar, Walsh-Paley, Franklin and the bounded
polygonal orthonormal bases in $L_p$ spaces;
Comment.\ Math.; xx; 1979; 37--42;

%Cinquin1981a
% . 15jan99
\rhl{C}
\refD Cinquin, Ph.;
Splines unidimensionelles sous tension et bidimensionelles param\'etr\'ees:
   deux applications m\'edicales;
Th\`ese, Universit\'e de Saint-Etienne, 28 octobre; 1981;
% apparently first to introduce weighted splines (i.e., minimizers of
% \int lambda(t) (D^2 f)(t)^2 dt )

%Cinquin1983
\rhl{C}
\refJ Cinquin,  Ph;
Optimal reconstruction of surfaces using parametric
	 spline functions;
Lect.\ Notes in Pure Appl.\ Math.;  86; 1983; 187--195;

%Clark1976
% larry
\rhl{C}
\refJ Clark,  J. H.;
Designing surfaces in 3--D;
\CACM; 19; 1976; 454--563;

%Clark1979
\rhl{C}
\refJ Clark,  J. H.;
A fast algorithm for rendering parametric surfaces;
Computer Graphics; 13(2); 1979; 7--12;

%ClarkMcAllister1987
\rhl{C}
\refR Clark,  K. D., McAllister, D. F.;
Convexity preserving spline interpolation with integral equality
constraints;
NC State; 1987;

%Clements1989
\rhl{C}
\refR Clements,  J. C.;
Lines fairing using a variation diminishing B-spline approximation;
xxx; 1989;

%Clements1990
% .
\rhl{C}
\refJ Clements, J. C.;
Convexity-preserving piecewise rational cubic interpolation;
\SJNA; 27; 1990; 1016--1023;

%ClenshawHayes1965
% larry
\rhl{C}
\refJ Clenshaw,  C. W., Hayes, J. G.;
Curve and surface fitting;
\JIMA; 1; 1965; 164--183;

%ClenshawNegus1978
\rhl{C}
\refJ Clenshaw,  C. W., Negus, B.;
The cubic X-spline and its application to interpolation;
\JIMA; 22; 1978; 109--119;
% like a piecewise cubic Hermite interpolant except that matching of slopes
% is replaced by enforcing a certain relation between the jumps in the second
% and third derivatives, thereby controlling "shape".

%ClerouxMcConalogue1976
% larry
\rhl{C}
\refJ Cleroux,  R., McConalogue, D. J.;
A numerical algorithm for recursively defined convolution
	 integrals involving distribution functions;
Management Science; 22; 1976; 1138--1146;

%ClevelandDevlinGrosse1987
\rhl{C}
\refR Cleveland,  W., Devlin, S., Grosse, E.;
Regression by local fitting: methods, properties and computational
algorithms;
Bell Labs; 1987;

%ClevelandGrosse1991
\rhl{C}
\refJ Cleveland,  W. S., Grosse, E.;
Computational methods for local regression;
Statistics and Computing; 1:1; 1991; xxx;

%Cline1973
\rhl{C}
\refJ Cline,  A. K.;
Curve fitting using splines under tension;
Atmospheric Tech.; 3; 1973; 60--65;

%Cline1974
% larry
\rhl{C}
\refJ Cline,  A. K.;
Scalar- and planar-valued curve fitting
	in one and two dimensions using splines under tension;
\CACM; 17; 1974;  218--223;

%Cline1974b
\rhl{C}
\refJ Cline,  A. K.;
Curve fitting in one and two dimensions using splines under tension;
\CACM; 17; 1974; 213--218;

%Cline1974c
\rhl{C}
\refJ Cline,  A. K.;
Six subprograms for curve fitting using splines under tension;
\CACM ; 17; 1974;  221--223;

%Cline1999
\rhl{C}
\refR Cline,  A. K.;
Fitpack document;
XX; 19xx;

%ClineRenka1984
\rhl{C}
\refJ Cline,  A. K., Renka, R. L.;
A storage-efficient method for construction of a Thiessen
	 triangulation;
\RMJM; 14; 1984; 119--139;

%ClineRenka1990
% larry
\rhl{C}
\refJ Cline, A. K., Renka, R. J.;
A constrained two-dimensional triangulation and the solution of closest 
node problems in the presence of barriers;
\SJNA; 27; 1990; 1305--1321;

%CloughTocher1965
% . 03dec99
\rhl{C}
\refQ Clough, R., Tocher, J.;
Finite element stiffness matrices for analysis of plates in bending;
(Proc.~Conf.~Matrix Methods in Structural Analysis), xxx (ed.),
Wright-Patterson Air Force Base (Dayton OH); 1965; xxx--xxx;
% source for the Clough-Tocher element

%Coatmelec1966
% shayne 26oct95 carlrefs
\rhl{C}
\refJ Coatm\'elec, Christian;
Approximation et interpolation des
  fonctions diff\'eren\-tiables de plusieurs variables;
\def\ASENS{Ann.\ Sci.\ Ecole Norm.\ Sup.}
\ASENS; 83(3); 1966; 271--341;
% calls a set X `unisolvent' if some \Pi_{le n} provides unique interpolant
% to arbitrary data on X. Also defines a multivariate divided difference as the
% coefficients in the local power form of the interpolating polynomial.
% Does Rabut01 acknowledge that?
% Also has, without attribution, the Radon48 idea for inductive construction
% of bivariate unisolvent sets.

%Coatmelec1969
% carl 02feb01
\rhl{}
\refP Coatm\'elec, C.;
Prolongement d'une fonction en une fonction diff\'erentiable. 
   Diverses majorations sur le prolongement;
\MadisonII; 29--49;

%Cobb1984a
\rhl{C}
\refD Cobb,  B.;
Design of sculptured surfaces using the B-spline representation;
University of Utah, Computer Science Department; 	1984;

%CoetzeeBaart1992
% larry
\rhl{C}
\refJ Coetzee,  M. A., Baart, M. L.;
Review of geometric continuity, with application to the construction of $G^2$ 
continuous curves; 
Quaest.\  math.; 15(3); 1992; 279--298;

%Cohen1997
% larry 10sep99
\rhl{C}
\rhl{C}
\refP Cohen, L. D.;
Avoiding local minima for deformable curves in image analysis;
\ChamonixIIIa; 77--84;

%CohenA1990a
\rhl{C}
\refD Cohen,  A.;
Thesis;
Univ.\ Paris-Dauphine; 1990;

%CohenA1990b
\rhl{C}
\refJ Cohen,  A.;
Construction de bases d'ondelettes $\alpha $-H\"old\'eriennes;
Revista Matem\'atica Iberoamericana;  6; 1990; 91--108;

%CohenA1990c
% . 14sep95
\rhl{C}
\refJ Cohen, A;
Ondelettes, analysis multir\'esolutions et filtres mirroirs en quadrature;
Ann.\ Inst.\ H. Poincar\'e; 7; 1990; 439--459;

%CohenA1994
% carl
\rhl{C}
\refJ Cohen, A. M.;
Is the polynomial so perfidious?;
\NM; 68(2); 1994; 225--238;
% The roots of Wilkinson's polynomial can be found using deflation.

%CohenAConze1999
\rhl{C}
\refR Cohen,  A., Conze, J. P.;
R\'egularit\'e des bases d'ondelettes et mesures ergodiques; 
Revista Matem\' atica Iberoamericana; to appear;

%CohenAConze1999
\rhl{C}
\refR Cohen,  A., Conze, J. P.;
R\'egularit\'e des bases d'ondelettes et mesures ergodiques; 
Revista Matem\' atica Iberoamericana; to appear;

%CohenADaubechies1993
% . 20jun97
\rhl{C}
\refJ Cohen,  A., Daubechies, I.;
Non-separable bidimensional wavelet bases;
Rev.\ Math.\ Iberoamericana; 9; 1993; 51--137;

%CohenADaubechies1999a
\rhl{C}
\refR Cohen,  A., Daubechies, I.;
Non-separable bidimensional wavelet bases;
preprint; xxx;

%CohenADaubechiesFeauveau1992
% sherm
\rhl{C}
\refJ Cohen,  A., Daubechies, I., Feauveau, J.-C.;
Biorthogonal Bases of compactly supported wavelets;
Comm.\ Pure Appl.\ Math.; XLV; 1992; 485--560;

%CohenADaubechiesPlonka9x
% . 05feb96
\rhl{C}
\refR Cohen, A., Daubechies, I., Plonka, G.;
Regularity of refinable function vectors;
ms; 1995;

%CohenADaubechiesRon1996
% amos 14sep95 20feb96 5dec96
\rhl{C}
\refJ Cohen, A., Daubechies, I., Ron, A.;
How smooth is the smoothest function in a refinable space (a note);
\ACHA; 3; 1996; 87--89;

%CohenADynLevin1996a
% . 5dec96
\rhl{C}
\refP Cohen, A., Dyn, N., Levin, D.;
Stability and interdependence of matrix subdivision;
\Montecatini; xxx--xxx;
% some reference has 1--13, but that's likely taken from a preprint.

%CohenDaubechies1995
% carlrefs 20nov03
\rhl{}
\refR Cohen, A., Daubechies, I.;
A new technique to estimate the regularity of refinable functions;
CEREMADE (URA CNRS 749) No.~9512; 1995;

%CohenE1981
\rhl{C}
\refQ Cohen,  E.;
A spline approach to speech analysis/synthesis;
(ICASSP 81), xxx (ed.), IEEE (xxx); 1981; 362--365;

%CohenE1983
% carl
\rhl{C}
\refJ Cohen, Elaine;
Some mathematical tools for a modeler's workbench;
\ICGA; 3(7); 1983; 63--66;

%CohenFRHandel1978
% . 24mar99  MR0524347 (80e:57033) (Boris Shekhtman) 06jun04
\rhl{CH}
\refJ Cohen, F. R.,  Handel, D.;
$k$-regular embeddings of the plane;
\PAMS; 72(1); 1978; 202--204;
% predates Vassiliev92 by 16 years!
% $f:X\to\RR^n$ is $k$-regular := for any $k$-set $T$, $[f(t): t\in T]$ is
% 1-1. Show that there does not exist a $k$-regular map on $\RR^2$ into 
% $\RR^n$ with $n := 2k-\alpha(k)-1$, with $\alpha(k)$ the number of 1's in 
% the dyadic expansion of $k$.
% Note: if $V:\RR^n\to \RR^s$ is 1-1, hence a basis for its range, then, with
% $f:\RR^s\to \RR^n: x\mapsto (\delta_x V)^t$, $f$ is $k$-regular iff
% $\ran V$ admits interpolation to arbitrary data on arbitrary $k$-sets.

%CohenLycheRiesenfeld1980
% larry
\rhl{C}
\refJ Cohen,  E., Lyche, T., Riesenfeld, R.;
Discrete $B$-splines and subdivision techniques in com\-puter-aided geometric
design and computer graphics;
\CGIP; 14; 1980; 87--111;

%CohenLycheRiesenfeld1984
% tom
\rhl{C}
\refJ Cohen,  E., Lyche, T., Riesenfeld, R.;
Discrete box splines and refinement algorithms;
\CAGD; 1; 1984; 131--148;

%CohenLycheRiesenfeld1987
% tom
\rhl{C}
\refJ Cohen,  E., Lyche, T., Riesenfeld, R.;
Cones and recurrence relations for simplex splines;
\CA; 3; 1987; 131--141;

%CohenLycheSchumaker1985
% larry
\rhl{C}
\refJ Cohen,  E., Lyche, T., Schumaker, L. L.;
Algorithms for degree-raising of splines;
\TOG; 4; 1985; 171--181;

%CohenLycheSchumaker1986
% larry
\rhl{C}
\refJ Cohen,  E., Lyche, T., Schumaker, L. L.;
Degree raising for splines;
\JAT; 46; 1986; 170--181;

%CohenRiesenfeld1978
% larry
\rhl{C}
\refJ Cohen,  E., Riesenfeld, R. F.;
An incompatibility projector based on an
	 interpolant of Gregory;
Computer Graphics Image Proc.;	8; 1978; 294--298;

%CohenRiesenfeld1982
% larry
\rhl{C}
\refJ Cohen,  E., Riesenfeld, R.;
General matrix representations for B\'ezier and B-spline curves;
Computers in Industry; 3; 1982; 9--15;

%CohenRiesenfeldElber2001
% LLS Lai-Schumaker book
\rhl{CohRE01}
\refB Cohen, E., Riesenfeld, R., Elber, G.;
Geometric Modelling with Splines;
AK Peters (Natik, MA); 2001;

%CohenSchumaker1985
% larry
\rhl{C}
\refJ Cohen,  E., Schumaker, L. L.;
Rates of convergence of control polygons;
\CAGD; 2; 1985; 229--235;

%Collatz1956
\rhl{C}
\refJ Collatz,  L.;
Approximation von Funktionen bei einer und bei mehreren unabh\"angigen
Ver\"anderlichen;
Z. Angew.\ Math.\ Mech.; 36; 1956; 198--211;

%Collatz1964
\rhl{C}
\refR Collatz,  L.;
Einschliessungssatz f\"ur die Minimalabweichung der Segmentapproximation;
Simposio Internationale ....; 1964;

%Collatz1972
\rhl{C}
\refQ Collatz,  L.;
Approximation by functions of fewer variables;
(Conference on the Theory of Ordinary and Partial Differential Equations),
W. N. Everitt and B. D. Sleeman (eds.), Springer (Berlin); 1972; 16--31;

%Coman1970
% larry
\rhl{C}
\refJ Coman,  Gh.;
Nouvelle formules de quadrature \`a coefficients egaux;
Mathematica; 12; 1970; 253--264;

%Coman1970b
\rhl{C}
\refJ Coman,  Gh.;
Optimal cubature formulas for certain classes of functions;
Anal.\ Stiintifice Univ.\ Cuza; 16; 1970; 345--356;

%Coman1972
% larry
\rhl{C}
\refJ Coman, Gh.;
Monosplines and optimal quadrature formulae in $L_p$;
Rendiconti di Matematica; 5, Serie VI; 1972; 1--11;

%Coman1973
% larry
\rhl{C}
\refJ Coman,  Gh.;
Monospline generalizate si formule optimale de cuadratura;
St.\ Cerc.\ Mat.; 25; 1973; 495--503;

%Coman1973b
% larry
\rhl{C}
\refJ Coman,  Gh.;
Two-dimensional monosplines and optimal cubature formulae;
Studia Univ.\ Babes-Bolyai; 1; 1973; 41--53;

%Coman1974a
\rhl{C}
\refJ Coman,  G.;
Multivariate approximation schemes and the approximation of linear
functionals;
Mathematica Cluj;  16; 1974; 229--249;

%Coman1974b
\rhl{C}
\refR Coman,  Gh.;
On the approximation of multivariate functions;
MRC 1254; 1974;

%ComanFrentiu1974
\rhl{C}
\refJ Coman,  G., Frentiu, M.;
Bivariate spline approximation;
Studia Univ.\ Babes-Bolyai Cluj;  1; 1974; 59--64;

%ComanMicula1971
% larry
\rhl{C}
\refJ Coman,  Gh., Micula, Gh.;
Optimal cubature formulae;
Rend.\ Math.; 4;  1971; 1--9;

%ComanMicula1972
\rhl{C}
\refJ Coman,  Gh., Micula, Gh.;
Monosplines and optimal quadrature formulae in $L_p$;
Rend.\ Math.; 5;  1972; 1--11;

%Common1992
% carl
\rhl{C}
\refJ Common,  A. K.;
Axial monogenic Clifford-Pad\'e approximants;
\JAT; 68; 1992; 206--222;

%CondatVanDeVille2006
% peters 05mar08
\rhl{CV}
\refJ Condat, Laurent, Van De Ville, Dimitri;
Three-directional box-splines: Characterization and efficient evaluation;
Signal Processing Letters, IEEE; 13(7); 2006; 417--420;

%ConradMann2000
% larry 20apr00
\rhl{}
\refP Conrad, Blair, Mann, Stephen;
Better pasting via quasi-interpolation;
\Stmalod; 27--36;

%Conti1997
% larry 10sep99
\rhl{C}
\rhl{C}
\refP Conti, C.;
Quasi-interpolant spline functions in the Hilbert space $D^{-m}L^2(\RR)$;
\ChamonixIIIb; 67--74;

%ContiJetter2000
% larry 20apr00
\rhl{}
\refP Conti, C., Jetter, K.;
A note on convolving refinable function vectors;
\Stmalof; 135--142;

%Conze1990
\rhl{C}
\refR Conze,  J. P.;
Sur le calcul de la norme de Sobolev des fonctions d'\'echelles; 
Dept.\ de Math.\ Universit\'e de Rennes (France), preprint; 1990;  

%Cook1963
\rhl{C}
\refJ Cook,  B. C.;
Least structure solution of photonuclear yield functions;
Nuclear Instr.\ Methods; 24; 1963; 256--268;

%CookHo1982a
\rhl{C}
\refJ Cook,  C. C., Ho, C. Y.;
The application of spline
functions to trajectory generation for computer-controlled
manipulators;
Digital Systems for Industrial Automation;  1;
1982; 325--333;

%Cools1992a
% shayne 26oct95
\rhl{C}
\refQ Cools, R.;
A survey of methods for constructing cubature formulae;
(Numerical Integration),
T. O. Espelid and A. Genz (eds.),
NATO ASI Ser.\ C, Vol.\ 357, Kluwer (Dordrecht); 1992; 1--24;
% includes discussion on the use of ideal theory and invariant theory to
% construct cubuture rules, all that is said applies equally well to a general
% linear functional (not just those that coming as an integral)

%Coons1964
\rhl{C}
\refR Coons,  S. A.;
Surfaces for computer-aided design of space forms;
TR, Project MAC,  Design Div., Mech.\ Engin.\ Dep., M.I.T.; 1964;

%Coons1967
\rhl{C}
\refR Coons,  S. A.;
Surfaces for computer-aided design of space forms;
MAC--TR-- 41, Mass.\ Inst.\ Technology; 1967;

%Coons1974
\rhl{C}
\refP Coons,  S. A.;
Surface patches and B-spline curves;
\Barnhill; 1--16;

%CooperWaldron2000
% shayne 16aug02
\rhl{}
\refJ Cooper, S., Waldron, S.;
The eigenstructure of the Bernstein operator;
\JAT; 105(1); 2000; 133--165;
% report; 1999;

%CopleySchumaker1978
% larry
\rhl{C}
\refJ Copley,  P., Schumaker, L. L.;
On $pLg-$splines;
\JAT; 23; 1978; 1--28;

%CoppersmithRivlin1992
% carl
\rhl{C}
\refJ Coppersmith,  Don, Rivlin, T.;
The growth of polynomials bounded at equally spaced points;
\SJMA; 23; 1992; 970--983;

%Coquillart1987a
% carl
\rhl{C}
\refJ Coquillart, Sabine;
Computing offsets of B-spline curves;
\CAD; 19(6); 1987; 305--309;
% computer-aided design, control points.

%Coquillart1990a
\rhl{C}
\refJ Coquillart,  S.;
Extended free-form deformation: a
sculpturing tool for 3D geometric modeling;
 SIGGRAPH'90; 24; 1990; 187--196;

%CorachMaestripieriStojanoff2002
% carl 08apr04
\rhl{}
\refJ Corach, G., Maestripieri, A., Stojanoff, D.;
Oblique projections and abstract splines;
\JAT; 117(2); 2002; 189--206;

%Cordellier1991
\rhl{C}
\refJ Cordellier,  F.;
On the use of Kronecker's algorithm in the generalized rational interpolation
problem;
\NA; 1; 1991; xxx--xxx;

%CorputSchaake1935
% carlrefs 20nov03
\rhl{}
\refJ Corput, J. G. van der; Schaake, G.;
Ungleichungen f\"ur Polynome und tri\-gono\-metrische Polynome;
Compos.\ Math.; 2; 1935; 321--361;
% Markov-, Bernstein-type inequalities

%CorrecChapuis1988
\rhl{C}
\refR Correc,  Y., Chapuis, E.;
Fast compuatation of Delaunay triangulations;
xx; 1988;

%CorrecLeMehaute1987
% larry 23may95 26aug98
\rhl{C}
\refJ Correc,  Y., LeMehaut\'e, A. J.;
$Lg$-splines and axisymmetric thin shells;
\RMA; 9; 1987; 34--54;

%CostabelSaranen2000
% carl 20apr00
\rhl{CS}
\refJ Costabel, M., Saranen, J.;
Spline collocation for convolutional parabolic boundary integral equations;
\NM; 84(3); 2000; 417--449;

%Costantini1984
% larry
\rhl{C}
\refJ Costantini,  P.;
Alcune considerazioni sull'esistenza di splines quadratiche inteprolanti
monotone e convesse;
Boll.\ Unione Mat.\ Ital.; 6; 1984; 257--265;

%Costantini1985b
% sherm, page update
\rhl{C}
\refJ Costantini,  P.;
Co-monotone interpolating splines of arbitrary degree - A local
approach;
\SJSSC; 8(6); 1987; 1026--1034;

%Costantini1986
% larry, carl
% larry
\rhl{C}
\refJ Costantini, Paolo;
On monotone and convex spline interpolation;
\MC; 46(173); 1986; 203--214;

%Costantini1988
% larry
\rhl{C}
\refJ Costantini,  P.;
An algorithm for computing shape preserving interpolating splines of
arbitrary degree;
\JCAM; 22; 1988; 89--136;

%Costantini1989
% larry
\rhl{C}
\refP Costantini, P.;
Algorithms for shape-preserving interpolation;
\Schmidt; 31--46;

%Costantini1997
% larry 10sep99
\rhl{C}
\rhl{C}
\refP Costantini, P.;
Variable degree polynomial splines;
\ChamonixIIIa; 85--94;
% MD-splines

%CostantiniFontanella1990
% larry
\rhl{C}
\refJ Costantini,  P., Fontanella, F.;
Shape preserving bivariate interpolation;
\SJNA; 27; 1990; 488--506;

%CostantiniFontanellaMorandi2000
% larry
\rhl{C}
\refJ Costantini,  P., Fontanella, F., Morandi, R.;
Approximation to data by free knots parametric splines;
\ACMTMS; XX; XX; XX;

%CostantiniManni1996
% LLS Lai-Schumaker book
\rhl{CosM96c}
\refJ Costantini, P., Manni, C.;
On a class of polynomial triangular macro-elements;
\JCAM; 73; 1996; 45--64;

%CostantiniManni2000
% larry 20apr00
\rhl{}
\refP Costantini, Paolo, Manni, Carla;
Interpolating polynomial macro-elements with tension properties;
\Stmalof; 143--152;

%CostantiniMorandi1984
% larry
\rhl{C}
\refJ Costantini,  P., Morandi, R.;
Monotone and convex cubic spline interpolation;
Calcolo; 21; 1984; 281--294;

%CostantiniMorandi1984b
\rhl{C}
\refJ Costantini,  P., Morandi, R.;
An algorithm for computing shape-preserving cubic spline
	 interpolation to data;
Calcolo; 21; 1984; 295--305;

%CostatiniManni1999
% carl 24mar99
\rhl{C}
\refJ Costantini, Paolo, Manni, Carla;
A parametric cubic element with tension properties; 
\SJNA; 36(2); 1999; 607--628;

%CotroneiPuccio1997
% larry 10sep99
\rhl{CP}
\refP Cotronei, M.,  Puccio, L.;
An application of multiwavelet analysis to signal compression;
\ChamonixIIIb; 75--82;

%CottafavaleMoli1969
\rhl{C}
\refJ Cottafava,  G., Moli, G. le;
Automatic contour map;
\CACM; 12; 1969; 386--391;

%CottinDamme1994a
% Ruud van Damme 20feb96
\rhl{C}
\refQ Cottin, C., Damme, R. van;
3D reconstruction of closed objects by piecewise cubic triangular
Bezier patches;
(Mathematics of Surfaces IV), J.C. Mason, M.G. Cox (eds.),
Clarendon (Oxford); 1994; 395--410;

%CottinDamme1994b
% Ruud van Damme 20feb96
\rhl{C}
\refJ Cottin, C., Damme, R. van;
Construction of a VC1 interpolant over triangles via edge deletion;
\CAGD; 11; 1994; 675--686;

%CoughranGrosse1991a
\rhl{C}
\refQ Coughran,  W. M., Grosse, E.;
Seeing and hearing dynamic Loess surfaces;
(Interface'91 Proceedings), xxx (ed.), xxx (xxx); to appear; xxx;

%CoughranGrosse1991b
\rhl{C}
\refQ Coughran,  W. M., Grosse, E.;
Display of functions of three space variables and time using shaded polygons 
and sound;
(IFIP TC2 WG2.5 Proceedings of Working Conference on Programming Environments 
for High-Level Scientific Problem Solving), xxx (ed.), xxx (xxx); to appear; xxx;

%CoughranGrosseRose1984
\rhl{C}
\refR Coughran Jr.,  W. M., Grosse, E., Rose, D.;
Variation diminishing splines in simulation;
A T \& T Num.\ Anal.\ Ms.\ 84--3; 1984;

%CoughranHerriot1982
\rhl{C}
\refR Coughran Jr.,  W. M., Herriot, J. G.;
An algorithm to construct complete interpolating splines;
Bell Labs.\ Comp.\  Sci.\ Tech.\  Rpt.\  101; 1982;

%Courant1943
\rhl{C}
\refJ Courant,  R.;
Variational methods for the solution of problems in equilibrium and vibrations;
\BAMS; 49; 1943; 1--23;

%CourantHilbert1953
% larry Lai-Schumaker book
\rhl{CouH53}
\refB Courant, D., Hilbert, D.;
Methods of Mathematical Physics, Vol. 1;
Interscience (New York); 1953;

%Cox1971
% larry
\rhl{C}
\refJ Cox,  M. G.;
Curve fitting with piecewise polynomials;
\JIMA; 8; 1971; 36--52;

%Cox1971b
\rhl{C}
\refJ Cox,  M. G.;
An algorithm for approximating convex functions by means of first
	 degree splines;
\CJ; 14; 1971; 272--275;

%Cox1972
% larry
\rhl{C}
\refJ Cox,  M. G.;
The numerical evaluation of $B$-splines;
\JIMA; 10; 1972; 134--149;
% NPL report: 1971:

%Cox1973
\rhl{C}
\refR Cox,  M. G.;
A data fitting package for the non-specialist user;
NPL Rpt.\  NAC 40;  1973;

%Cox1973b
\rhl{C}
\refR Cox,  M. G.;
Cubic spline fitting with convexity and concavity constraints;
NPL Rpt.\  NAC 23;  1973;

%Cox1975
\rhl{C}
\refJ Cox,  M. G.;
An algorithm for spline interpolation;
\JIMA; 15; 1975;  95--108;

%Cox1976
\rhl{C}
\refR Cox,  M. G.;
The numerical evaluation of a spline from its B-spline representation;
NPL Rpt.; 1976;

%Cox1976b
\rhl{C}
\refQ Cox,  M. G.;
A survey of numerical methods for data and function approximation;
(York Conf.), xxx (ed.), xxx (xxx); 1976;  627--668;

%Cox1977
\rhl{C}
\refR Cox,  M. G.;
The representation of polynomials in terms of B-splines;
NPL Rpt.\ 85; 1977;

%Cox1978a
% sherm, Proceedings update
\rhl{C}
\refP Cox,  M. G.;
The incorporation of boundary conditions in spline approximation
problems;
\DundeeIII; 51--63;

%Cox1978b
% larry
\rhl{C}
\refJ Cox,  M. G.;
The numerical evaluation of a spline from its B-spline representation;
\JIMA; 21; 1978; 135--143;
% NPL Rpt.: 1976:

%Cox1982
\rhl{C}
\refJ Cox,  M. G.;
Direct versus iterative methods of solution for
	 multivariate spline fitting problem;
\IMAJNA; 2; 1982; 73--81;

%Cox1993a
% carl
\rhl{C}
\refP Cox,  Maurice G.;
Algorithms for spline curves and surfaces;
\Piegl; 51--76;
% expository

%Cox1993b
% carl
\rhl{C}
\refJ Cox,  M. G.;
Reliable determination of interpolating polynomials;
\NA; 5; 1993; 133--154;

%CoxD1984
% sherm, page update
\rhl{C}
\refJ Cox,  D.;
Multivariate smoothing spline functions;
\SJNA; 21(4); 1984; 789--813;

%CoxHarrisHumphreys1993
\rhl{C}
\refR Cox, M. G., Harris, P. M., Humphreys, D. A.;
An algorithm for the removal of noise and jitter in signals and its application
to picosecond electrical measurement;
National Physics Laboratory Report DITC 220/93; 1993;

%CoxHayes1973
\rhl{C}
\refR Cox,  M. G., Hayes, J. G.;
Curve fitting: a guide and suite of algorithms for the non-specialist user;
NPL Rpt.\  NAG 26;  1973;

%CoxLittleOShea1992
% carl  16aug02
\rhl{CLO'92}
\refB Cox, David, Little, John, O'Shea, Donal;
Ideals, Varieties, and Algorithms;
Undergraduate Texts in Mathematics, Springer (New York); 1992;
% multivariate polynomial interpolation

%CoxLittleOShea1998
% carl  16aug02
\rhl{CLO'98}
\refB Cox, David, Little, John, O'Shea, Donal;
Using Algebraic Geometry;
Graduate Texts in Mathematics 185, Springer (New York); 1998;
% multivariate polynomial interpolation

%CoxMason1987
\rhl{C}
\refB Cox,  M. G., (eds.), J. C. Mason;
Algorithms for the Approximation of Functions and Data;
Oxford Univ.\ Press (Oxford); 1987;

%Coxeter1963
% shayne 21jan02
\rhl{}
\refB Coxeter, H. S. M.;
Regular polytopes;
Macmillan (New York); 1963;

%Crain1970
\rhl{C}
\refJ Crain,  I. K.;
Computer interpolation and contouring of two-dimensional
	 data:	a review;
Geoexploration;  8; 1970; 71--86;

%CrainBhattacharyya1967
% larry
\rhl{C}
\refJ Crain,  I. K., Bhattacharyya, B. K.;
Treatment of non-equispaced two-dimensional data with a digital
	 computer;
Geoexploration;  5; 1967; 173--194;

%Crainic2004
% . 04mar10
\rhl{C}
\refJ Crainic, N.;
Multivariate Birkhoff-Lagrange interpolation schemes and cartesian sets of
   nodes;
Acta Math.\ Univ.\ Comenian. (N.S.); LXXIII (2); 2004; 217--221;
% interpolation from $D$-invariant spaces spanned by monomials (i.e., the
% corresponding exponents form a lower set). Correspondingly, look for
% smallest lower sets containing the given data sites. Main result: for every
% set $\gT$ of data sites, there exists such a space correct for it; this space
% is unique iff $\gT$ is itself a lower set. First part is straightforward
% consequence of Gauss elimination; see %Boor07a.

%CraizerFoniniJrSilva2000
% larry 20apr00
\rhl{}
\refP Craizer, M., Fonini, D. A., Jr.,Silva, E. A. B. da;
Quantized frame decompositions;
\Stmalof; 153--160;

%CrankGupta1972
\rhl{C}
\refR Crank,  J., Gupta, R. S.;
A method for solving moving boundary problems in heat flow: Part I, using
cubic splines;
Brunel; 1972;

%CrapoWhiteley1982
\rhl{C}
\refR Crapo,  H., Whiteley, W.;
Statics of frameworks and motions of panel structures, a projective geometric 
introduction;
xxx; 1982;

%CrapoWhiteley1988
\rhl{C}
\refR Crapo,  H., Whiteley, W.;
Plane self stresses and projected polyhedra I: The basic pattern;
xxx Canada; 1988;

%CravenWahba1979
% carl 15jan99
\rhl{C}
\refJ Craven, Peter, Wahba, Grace;
Smoothing noisy data with spline functions: estimating the correct
 degree of smoothing by the method of generalized cross validation;
\NM; 31; 1979; 377--403;
% Department of Statistics, University of Wisconsin-Madison, TR No.\ 445:
% October 1977.

%CreutzburgTasche1989
% larry, carl
\rhl{C}
\refJ Creutzburg, R., Tasche, M.;
Parameter determination for complex number-theoretic transforms using 
cyclotomic polynomials;
\MC; 52(185); 1989; 189--200;
% complex pseudo Fermat number transform, complex pseudo Mersenne
% number transform, primitive root of unity modulo m.

%CrippsBall2004
% carlref 03apr06
\rhl{}
\refP Cripps, R. J., Ball, A. A.;
Orthogonal $C^2$ cubic spline curves;
\Seattle; 137--148;

%CriscuoloMastroianni1992
\rhl{C}
\refP Criscuolo,  G., Mastroianni, G.;
New results on Lagrange interpolation;
\SinghII; 333--340;

%CriscuoloMastroianniVertesi1990
\rhl{C}
\refR Criscuolo,  G., Mastroianni, G., V\'ertesi, P.;
Pointwise simultaneous convergence of the extended Lagrange Interplation with 
additional knots;
xxx; xxx;

%Cromme1975
% carl
\rhl{C}
\refJ Cromme, Ludwig J.;
Eine Klasse von Verfahren zur Ermittlung bester nichtlinearer
Tschebyscheff-Approximation;
\NM; 25; 1976; 447--459;

%Cromme1976
% larry
\rhl{C}
\refR Cromme,  L. J.;
Bemerkung zur numerischen Behandlung
nichtlinearer Aufgaben der Tschebycheff-Approximation;
ISNM, 175--186; 1976;

%Cromme1976b
% larry
\rhl{C}
\refP Cromme,  L. J.;
Zur Tschebyscheff-Approximation bei Ungleichungsnebenbedingungen im
Funktionenraum;
\BonnI; 144--153;

%Cromme1977
\rhl{C}
\refR Cromme,  L. J.;
Zur praktischen Behandlung linearer diskreter Approximationsprobleme in der
Maximumsnorm;
Bonn; 1977;

%Cromme1977b
\rhl{C}
\refR Cromme,  L. J.;
Rundungsfehler bei linearen Approximationsproblemen;
ZAMM; 1977;

%Cromme1977c
\rhl{C}
\refR Cromme,  L. J.;
Numerische Methoden zur Behandlung einiger Problemklassen der nichtlinearen
Tschebyscheff-Approximation mit Nebenbedingungen;
Bonn; 1977;

%Cromme1979
\rhl{C}
\refR Cromme,  L. J.;
Approximation auf Mannifaltigkeiten mit Spitzen -- Theorie und numerische
Methoden;
Habilitationsschrift, G\"ottingen; 1979;

%Cromme1981
\rhl{C}
\refR Cromme,  L. J.;
Regular $C^1$ parametrizations for exponential sums and splines;
NAM; 1981;

%Cromme1981b
\rhl{C}
\refR Cromme,  L. J.;
A unified approach to differential characterizations of local best
approximations for exponential sums and splines;
NAM; 1981;

%Cromme1985
\rhl{C}
\refR Cromme,  L. J.;
Manifolds with cusps;
NAM 49; 1985;

%Cross1980
\rhl{C}
\refJ Cross,  G.;
Splicing n-convex functions using splines;
Canad.\ Math.\  Bull.; 23; 1980; 107--109;

%CrouzeixSadkane1989
\rhl{C}
\refR Crouzeix,  M., Sadkane, M.;
El\'ements fins $C^1$, polynomiaux de degr\'e quatre par triangle, dans une 
triangulation form\'ee de triangles \'equilat\'eraux;
Publication Interne No.\ 463, IRISA, Rennes C\'edex, France; 1989;

%CrouzeixThomee1987
% . 22may98
\rhl{C}
\refJ Crouzeix, M., Thom\'ee, V.;
The stability in $L_p$ and $W_p^1$ of the $L_2$-projection onto finite
   element function spaces;
\MC; 48; 1987; 521--532;
% boundedness of L_2 spline projector

%CsendesSilvester1972
\rhl{C}
\refJ Csendes,  Z., Silvester, P.;
FINPLT: A finite element field plotting program;
IEEE Trans.\ Micro.\ Th.\ Tech.; xx  ; 1972; 294--295;

%CullinanPowell1982
% author 20jun97
\rhl{C}
\refP Cullinan,  M. P., Powell, M. J.;
Data smoothing by divided differences;
\DundeeV; 26--32;
% DAMTP 81 NA4: 1981:

%Cullum1977
\rhl{C}
\refR Cullum,  J.;
The choice of smoothing norm in regularization -- a key to effectiveness;
IBM; 1977;

%Curry1947a
% . 19may96
\rhl{C}
\refJ Curry, H. B.;
Review;
Math.\ Tables Aids Comput.; 2; 1947; 167--169, 211--213;
% B-splines with arbitrary knots originated in this review. See
% CurrySchoenberg66

%Curry1951a
% carlrefs
\rhl{C}
\refJ Curry, H. B.;
Abstract differential operatiors and interpolation formulas;
Portugaliae Mathematica; 10(4); 1951; 135--162;
% studies linear maps carrying polynomials to polynomials and not increasing
% their degree, calling them `differential operators', their order being the
% number by which they reduce the degree of a polynomial. Uses determinantal
% expressions for the general interpolant from a given finite-dimensional 
% lss. Close to Sheffer35.

%CurrySchoenberg1947
% sherm, update journal and page
\rhl{C}
\refJ Curry,  H. B., Schoenberg, I. J.;
On spline distributions and their limits: The Polya distribution functions;
\BAMS; 53; 1947; 1114;

%CurrySchoenberg1966
\rhl{C}
\refJ Curry,  H. B., Schoenberg, I. J.;
On P\'olya frequency functions IV: the fundamental spline
	 functions and their limits;
\JAM; 17; 1966;  71--107;

%Curtis1970
% carl
\rhl{C}
\refP Curtis,  A. R.;
The approximation of a function of one variable by cubic splines;
\Hayes; 28--42;
% describes %CurtisPowell67a,b

%CurtisPowell1966
% . 20jun97
\rhl{C}
\refJ Curtis,  A. R., Powell, M. J. D.;
On the convergence of exchange algorithms
   for calculating minimax approximations;
\CJ; 9; 1966; 78--80;
% Appl.\  Math.\  Group  A. E. R. E.  78--88: 1966:

%CurtisPowell1967a
% carl 5dec96
\rhl{C}
\refR Curtis,  A. R., Powell, M. J.;
Error analysis for equal-interval interpolation by cubic splines;
Theoret.\ Phys.\ Div.\ A.E.R.E.\ - R.5600;  1967;
% error estimate involving the third-derivative jumps of the cubic spline 
% interpolant $s$ to $f$. $h^3 jump_{x_i} D^3 s = h^4 D^4 f(x_i) + O(h^8)$
% Also proposes unusual end condition (making the error the midpoint of the
% two extreme intervals equal).

%CurtisPowell1967b
% carl 20jun97
\rhl{C}
\refR Curtis,  A. R., Powell, M. J.;
Using cubic splines to approximate functions of one variable to
     prescribed accuracy;
Math.\  Branch, Theoret.\ Phys.\ Div., Atomic Energy Res.\  Est.\ Rep.~5602;
1967;
% error estimate involving the third-derivative jumps of the cubic spline 
% interpolant.

%CutkoskyPomponiu1981
\rhl{C}
\refJ Cutkosky,  B. E., Pomponiu, C.;
Spline interpolation and smoothing of data;
Comp.\  Phys.\  Comm.; 23; 1981;	287--299;

%CuytVerdonk1993
\rhl{C}
\refJ Cuyt,  A., Verdonk, B.;
Multivariate rational data fitting: general data structure, maximal
accuracy and object orientation;
\NA; 3; 1993; xxx--xxx;

%CuytVerdonk1993a
\rhl{C}
\refJ Cuyt, A., Verdonk, B.;
Multivariate rational data fitting: general data structure, maximal
accuracy and object orientation;
Numerical Algorithms; 3; 1993; xxx--xxx;

%Cybenko1988a
\rhl{C}
\refQ Cybenko,  G.;
Continuous valued neural networks: approximation theoretic results; 
(Proceedings of the 1988 Interface of Statistics and Computer Science, 
Reston VA), xxx (ed.), xxx (xxx); 1988;  174--184;  

%Cybenko1988b
\rhl{C}
\refR Cybenko,  G.;
Continuous valued neural networks with two hidden layers are sufficient;
Center for Supercomputing Research Report No.\ 935, University of Illinios; 1988;

%Cybenko1989
\rhl{C}
\refJ Cybenko,  G.;
Approximation by superpositions of a sigmoidal function; 
{Math.\ Control Signals Systems}; 2; 1989; 303--314;

%Cybenko1990
\rhl{C}
\refQ Cybenko,  G.;
Mathematical problems in neural computing;
(Signal Processing, Scattering, Operator Theory, and Numerical Methods),
xxx (ed.), Birkh\"auser (Boston); 1990;  47--63; 

%Cybertowicz1967
\rhl{C}
\refJ Cybertowicz,  Z.;
On some approximation problems;
Bull.\ Acad.\ Polon.;  15; 1967; 497--501;

%Czegledy1977
\rhl{C}
\refJ Czegledy,  P. F.;
Surface fitting by orthogonal local polynomials;
Biometrical J.; 19; 1977; 257--264;