%Ha88
% larry
\rhl{H}
\refD Ha,  K. V.;
On multivariate simplex B-splines;
Univ.\ Oslo; 1988;

%Haar18a
\rhl{H}
\refJ Haar,  A.;
Die Minkowskische Geometrie und die Ann\"aherung an
stetige Funktionen;
Math.\ Annalen;  78; 1918; 294--311;

%Haas88
\rhl{H}
\refR Haas,  R.;
Module and vector space bases for spline spaces;
XX; 1988;

%Haber71
% larry
\rhl{H}
\refJ Haber,  S.;
On certain optimal quadrature formulas;
J. Res.\ Natl.\ Bureau Standards; 75B; 1971; 85--88;

%Habib96
% . 14may99
\rhl{H}
\refJ Habib, A. W., Goldman, R. N., Lyche, T.;
A recursive algorithm for  Hermite interpolation over a triangular grid;
\JCAM; 73; 1996; 95--118;

%HachtelMackO'brianSpeelpenning77
\rhl{H}
\refR Hachtel,  G., Mack, M., O'Brien, R., Speelpenning, B.;
Computational aspects of nonlinear finite element analysis;
IBM; 1977;

%Hack83
\rhl{H}
\refD Hack,  F.;
Eindeutigkeitsaussagen und konstruktive Methoden bei mehrdimensionalen
Interpolationsaufgaben;
Univ.\ Duisburg; 1983;

%Hack87
% sonya
\rhl{H}
\refJ Hack,  F.;
On bivariate Birkhoff interpolation;
\JAT; 49; 1987; 18--30;

%HadjidimosHoustisRiceVavalis93
% sherm, pagination, vol update
\rhl{H}
\refJ Hadjidimos,  A., Houstis, E. N., Rice, J. R., Vavalis, E. A.;
Iterative line cubic spline collocation methods for elliptic
partial differential equations in several dimensions;
\SJSC; 14(3); 1993; 715--734;

%Hagen85
% greg
\rhl{H}
\refJ Hagen,  H.;
Geometric spline curves;
\CAGD; 2; 1985; 223--227;

%HagenPottmann89a
% larry
\rhl{H}
\refP Hagen,  H., Pottmann, H.;
Curvature continuous triangular in\-ter\-po\-lants;
\Oslo; 373--384;

%HagenSchreiberGschwind90a
\rhl{H}
\refQ Hagen,  H., Schreiber, T., Gschwind, E.;
Methods for surface interrogation;
(Visualization '90), A. Kaufman (ed.), 
IEEE Press (Los Alamitos); 1990;
187--193;

%HagenSchulze87
% greg
\rhl{H}
\refJ Hagen,  H., Schulze, G.;
Automatic smoothing with geometric surface patches;
\CAGD; 4; 1987; 231--235;
% now Guido Brunnett

%HahmannBonneauTaleb00
% larry 20apr00
\rhl{}
\refP Hahmann, Stefanie, Bonneau, Georges-Pierre, Taleb, Riadh;
Smooth irregular mesh interpolation;
\Stmalof; 237--246;

%HahmannKonz97
% larry 10sep99
\rhl{HK}
\rhl{H}
\refP Hahmann, S., Konz, S.;
Fairing bicubic B-spline surfaces using simulated annealing;
\ChamonixIIIa; 159--168;

%Hahn18
% carl 29apr97
\rhl{H}
\refJ Hahn, H.;
\"Uber das Interpolationsproblem;
\MZ; 1; 1918; 115--142;
% convergence treated as that of integral operators with (near)singular kernels.
% If Lebesgue functions diverge at some point, then so does the interpolant
% to some continuous function.

%Hahn89a
% carl
\rhl{H}
\refJ Hahn,  J. M.;
Geometric continuous patch complexes;
\CAGD; 6; 1989; 55--67;

%Hahn89b
% .
\rhl{H}
\refQ Hahn,  J. M.;
Filling polygonal holes with rectangular patches;
(Theory and Practice of Geometric Modelling), W. Strasser and H.-P. Seidel
(eds.), Springer (Heidelberg); 1989; 81--91;

%HahnRadloff72
% larry
\rhl{H}
\refJ Hahn,  H., Radloff, J.;
Ein Verfahren zum Berechnen und Zeichnen von Niveaukurven einer
reellen Funktion zweier Ver\"anderlicher;
Elektron.\ Rechenanl.; 14; 1972; 128--133;

%HaiLee81
\rhl{H}
\refJ Hai,  P., Lee, C. H.;
Modified cubic B-spline interpolation;
Proc.\  IREE; 69; 1981;	1590--1592;

%HairerNorsettWanner87a
\rhl{H}
\refB Hairer,  E., N{\o}rsett, S. P., Wanner, G.;
Solving Ordinary Differential Equations I (Nonstiff Problems);
Springer Verlag, Springer Series in Computational Mathematics 8 (xxx); 1987;

%Hakopian00
% carl 21jan02
\rhl{}
\refJ Hakopian, Hakop A.;
On the regularity of multivariate Hermite interpolation;
\JAT; 105(1); 2000; 1--18;
% Hermite interpolation := ran P = \Pi_k, 
% ran P' = \sum_{\gt\in\gT} \gd_\gt \Pi_{k_\gt}(D)
% hence problems with matching \dim\Pi_k with \sum_\gt \dim\Pi_{k_\gt}

%Hakopian00b
% author 03apr06
\rhl{}
\refJ Hakopian, H.;
On a class of Hermite interpolation problems;
\AiCM; 12; 2000; 303--309;

%Hakopian01
% carl 20jan03
\rhl{}
\refJ Hakopian, H. A.;
Extrema of multivariate polynomials, their gradients and directional
   derivatives;
\CA; 17; 2001; 515--533;
% 

%Hakopian03
% author 03apr06
\rhl{}
\refP Hakopian, H.;
A multivariate analog of fundamental theorem of algebra and Hermite
   interpolation;
\VarnaVII; 1--18;
% Hakopian confirms page numbers

%Hakopian04
% author 03apr06
\rhl{}
\refP Hakopian, H.;
The multivariate fundamental theorem of algebra, Bezout's theorem, and
   Nullstellensatz;
\forBojanov; 73--97;
% for MFTA see HakopianTonoyan02, Hakopian03, also Mourrain99

%Hakopian81
% carl, shayne 23may95 6aug96
\rhl{H}
\refJ Hakopian, H.;
Les differences divis\'ees de plusieurs variables et les interpolations
   multidimensionnelles de types Lagrangien et Hermitien;
\CRASP\ Ser.\ I; 292; 1981; 453--456;
% Description of Hakopian interpolation by using `multivariate divided
% differences'. Related to Kergin interpolation.

%Hakopian82a
% carl, shayne 23may95
\rhl{H}
\refJ Hakopian, H.;
Multivariate divided differences and multivariate
   interpolation of Lagrange and Hermite type;
\JAT; 34; 1982; 286--305;
% Description of Hakopian interpolation by using `multivariate divided
% differences'

%Hakopian82b
% carl
\rhl{H}
\refJ Hakopian,  Hakop;
Multivariate spline functions, B-spline basis and
polynomial interpolations;
\SJNA; 18; 1982; 510--517;

%Hakopian83a
% carl
\rhl{H}
\refJ Hakopian,  H.;
On fundamental polynomials of multivariate interpolation I of Lagrange and
Hermite type;
Bull.\ Pol.\ Acad.\ Sci., Math.; 31(3-4); 1983; 137--141;

%Hakopian83b
% carl
\rhl{H}
\refJ Hakopian,  Hakop;
 Integral remainder formula of the tensor product interpolation;
Bull.\ Pol.\ Acad.\ Sci., Math.; 31(5-8); 1983; 267--272;
% interpolation from \Pi_\Gamma at the \Gamma subset of a rectangular
% grid is correct in case \Gamma is a shadow set (or, left set).
% divided differences are tensor products and the error is in terms of
% the `next' divided differences.

%Hakopian83c
% author
\rhl{H}
\refQ Hakopian,  H.;
Duality of multivariate polynomial interpolation (in Russian);
(Internat.\ Conf.\ Approx.\ Theory), xxx (ed.), (Kiev); 1983; 8--10;
% The `duality' concerns ChungYao interpolation at the intersections of any
% k of a given set of r hyperplanes in \Rk vs the Hakopian interpolation to mean
% values over the convex hulls of any k of a given set of r points in \Rk .

%Hakopian84a
% carl
\rhl{H}
\refJ Hakopian,  Hakop;
On multivariate spline functions, B-spline bases and
polynomial interpolation II;
\SM; 79; 1984; 91--102;

%Hakopian84b
% carl
\rhl{H}
\refJ Hakopian,  H.;
Multivariate interpolation II of Lagrange and Hermite type;
\SM; 80; 1984; 77--88;

%Hakopian85
% carl
\rhl{H}
\refP Hakopian,  H.;
Interpolation by polynomials and natural splines on normal lattices;
\MvatIII; 218--220;

%Hakopian94a
% author 26aug98
\rhl{H}
\refJ Hakopian, H.;
On a theorem on bivariate homogeneous polynomials;
Bull.\ Acad.\ Polon.\ Sci., Ser.\ Math.; 42; 1994; 129--132;
% generalized in Hakopian98

%Hakopian98
% . 26aug98
\rhl{H}
\refR Hakopian, Hakop A.;
On homogeneous polynomials, their gradients and directional derivatives;
ms; 1998;
% cf Kellogg28a
% makes clear that the bivariate case covers also the n-dimensional one.

%HakopianSahakian88a
% carl
\rhl{H}
\refJ Akopyan,  A. A., Saakyan, A. A.;
On a system of differential equations connected with the polynomial 
class of translates of a box spline;
\MaZ; 44; 1988; 705--724;
% English translation see (88b)

%HakopianSahakian88b
\rhl{H}
\refJ Akopyan,  A. A., Saakyan, A. A.;
A system of differential equations that is related to the polynomial 
class of translates of a box spline;
\MN; 44; 1988; 865--878;

%HakopianSahakian89
% carl
\rhl{H}
\refJ Akopyan,  A. A., Saakyan, A. A.;
On a class of systems of partial differential equations;
Izvestiya Akademii Nauk Armyanskoi SSR. Seriya Matematika;
24; 1989; 93--98;
% English translation see HakopianSaakian90

%HakopianSahakian90
\rhl{H}
\refJ Akopyan,  A. A., Saakyan, A. A.;
On a class of systems of partial differential equations;
Soviet J.\ Contemp.\ Anal.; xxx; 1990; xxx--xxx;
% translation of HakopianSahakian89a

%HakopianSahakian94a
% author
\rhl{H}
\refJ Akopyan,  A. A., Saakyan, A. A.;
Multivariate splines and polynomial interpolations;
Uspekhi Mat.\ Nauk; xxx; 1994; xxx--xxx;

%HakopianSahakian95a
% carl
\rhl{H}
\refJ Hakopian, H. A., Sahakian, A. A.;
Multivariate polynomial interpolation to traces on manifolds;
\JAT; 80(1); 1995; 50--75;

%HakopianTonoyan02a
% author 03apr06
\rhl{HT}
\refJ Hakopian, H., Tonoyan, M.;
Polynomial interplation and a multivariate analog of the fundamental theorem
   of algebra;
\EJA; 8; 2002; 355--379;
% authors announced these results on p50 of the abstracts for \Schumakerfest

%HakopianTonoyan04a
% carl 03apr06
\rhl{H}
\refJ
Hakopian, H. A., Tonoyan, Mariam G.;
Partial differential analogs of ordinary differential equations and systems;
New York J. Math.; 10; 2004; 89--116;
% http://nyjm.albany.edu:8000/j/2004/10-6.pdf
% nice multivariate generalization of the univariate facts that an n-th 
% order ODE can be viewed as a first-order ODE for a vector-valued function
% and that the solutions of an n-th order homogeneous constant coefficient ODE
% p(D) = 0 are characterized by the zeros of the n-th degree pol p counting
% multiplicities which, in turn, is closely connected to polynomial
% interpolation at the zeros (counting multiplicities).

%HakopianTonoyan97
% . 10nov97
\rhl{H}
\refR
Hakopian, H., Tonoyan, M. G.;
The Pfaff linear partial differential systems and Wronskians of
   multivariate functions;
submitted to \JMAA; 1997;

%Halang80
\rhl{H}
\refJ Halang,  W. A.;
% sonya
Approximation durch positive lineare Spline-Operatoren
	 konstruiert mit Hilfe lokaler	Integrale;
\JAT; 28; 1980;  161--183;

%Halang87
% Hakopian???
\rhl{H}
\refJ Halang,  W. A.;
A topological spline system approach to even degree polynomial splines;
\NFAO; 9; 1987; 725--742;

%Halasz92
% carl
\rhl{H}
\refJ Hal\'asz,  G.;
The ``coarse and fine theory of interpolation'' of Erd\"os and Tur\'an in a
broader view;
\CA; 8; 1992; 169--185;

%HalesLevesley00
% larry 20apr00
\rhl{}
\refP Hales, S. J., Levesley, J.;
Multi--level approximation to scattered data using inverse multiquadrics;
\Stmalof; 247--254;

%Halkin70
% . 14may99
\rhl{H}
\refJ Halkin, H.;
A satisfactory treatment of equality and operator
   constraints in the Dubovitskii-Milyutin
optimization formalism;
Journal Optimization Theory Applic.;
6 (2); 1970; 138--149;

%Hall68
% sonya
\rhl{H}
\refJ Hall,  C. A.;
On error bounds for spline interpolation;
\JAT; 1; 1968; 209--218;

%Hall69b
% larry
\rhl{H}
\refJ Hall,  C. A.;
Error bounds for periodic  quintic splines;
CACM; 12;  1969;  450--452;

%Hall69c
% larry
\rhl{H}
\refJ Hall,  C. A.;
Bicubic interpolation over triangles;
\JMM; 19; 1969; 1--11;

%Hall73a
% carl
\rhl{H}
\refJ Hall,  C. A.;
Natural cubic and bicubic spline interpolation;
\SJNA; 10; 1973; 1055--1060;

%Hall73b
% sonya
\rhl{H}
\refJ Hall,  C. A.;
Uniform convergence of cubic spline interpolants;
\JAT; 7; 1973; 71--75;

%Hall73c
\rhl{H}
\refR Hall,  C.;
An algorithm for the production of an isometric projection of a
three-dimensional surface;
NPL NAC41; 1973;

%Hall76
\rhl{H}
\refP Hall,  C. A.;
Transfinite interpolation and applications to engineering problems;
\Law; 308--331;

%Hall79
\rhl{H}
\refP Hall,  C. A.;
Spline blended approximation of multivariate functions;
\Sahney; 17--34;

%Hall79b
% . 26aug98
\rhl{H}
\refP Hall,  C. A.;
Vector-valued polynomial and spline approximation;
\Sahney; 35--67;

%HallMeyer76
% sonya
\rhl{H}
\refJ Hall,  C. A., Meyer, W. W.;
Optimal error bounds for cubic spline interpolation;
\JAT; 16; 1976; 105--122;

%HallPorsching92
% sherm, pagination
\rhl{H}
\refJ Hall,  C. A., Porsching, T. A.;
Approximation methods in the computer numerically
controlled fabrication of optical surfaces, Part 2: mollifications;
\IMAJNA; 12(2); 1992; 259--269;

%HalletMundMunert75
\rhl{H}
\refJ Hallet,  P., Mund, E. H., Munert, J. P.;
An algorithm for the interpolation of functions using quintic splines;
\JCAM; 1; 1975; 279--288;

%HallidayWallJoyner72
\rhl{H}
\refR Halliday,  J., Wall, J. F., Joyner, W. D.;
Report on multivariable curve fitting using fundamental splines;
Rpt.\ MSN.\ 167, Brit.\ Aircraft; 1972;

%HaltonLight85
\rhl{H}
\refJ Halton,  E. J., Light, W. A.;
Projections on tensor product spaces;
\TAMS; 287; 1985; 161--165;

%HaltonLight93
% carl
\rhl{H}
\refJ Halton,  E. J., Light, W. A.;
On local and controlled approximation order; 
\JAT; 72(3); 1993; 268--277;

%Hamann91
% larry
\rhl{H}
\refJ Hamann,  B.;
Visualisierungstechniken zur Darstellung dreidimensionaler Datenmengen;
CAD und Computergraphik; 13; 1991; 129--139;

%Hamann91b
% larry
\rhl{H}
\refR Hamann,  B.;
Curvature approximation for triangulated surfaces;
Computing Suppl.; 8; 199; 139--153;

%Hamann92
\rhl{H}
\refJ Hamann,  B.;
Modeling contours of trivariate data;
MMNA; 26; 1992; 51--75;

%Hamann99a
\rhl{H}
\refR Hamann,  B.;
Data reduction for triangulated surfaces;
Mississippi State Univ.; xxx;

%Hamann99b
\rhl{H}
\refR Hamann,  B.;
A $C^2$ quartic spline based on a variational problem;
Arizona State Univ.; xxx;

%Hamann99c
\rhl{H}
\refR Hamann,  B.;
Curvature approximation for graphs of trivariate functions;
Arizona State Univ.; xxx;

%Hamann99d
\rhl{H}
\refR Hamann, B.;
Curvature approximation of 3D manifolds in 4D space;
Mississippi State Univ.; xx;

%HamannChen99
\rhl{H}
\refR Hamann, B., Chen, J.-L.;
Data point selection for piecewise trilinear approximation;
Mississippi State Univ.; xx;

%HamannChenHong99
\rhl{H}
\refR Hamann, B., Chen, J.-L., Hong, G.;
Automatic generation of unstructured volume grids inside or outside
closed sufaces;
Mississippi State Univ.; xx;

%HamannFarinNielson
\rhl{H}
\refP Hamann, B., Farin, G., Nielson, G. M.;
A parametric triangular patch based on generalized conics;
\Farinnion; 75--85;

%HamannJean93
\rhl{H}
\refR Hamann, B., Jean, B. A.;
Interactive surface correction based on a local approximation scheme;
Finite Elements, Grid Generation, and Geometric Design vol.1, 1993; 1993;

%HammerlinSchumaker78
% larry
\rhl{H}
\refJ H\"ammerlin,  G., Schumaker, L. L.;
Error bounds for the approximation of Green's kernels by splines;
\NM; 33; 1979; 17--22;

%HammerlinSchumaker80
% larry
\rhl{H}
\refJ H\"ammerlin,  G., Schumaker, L. L.;
Procedures for kernel approximation and solution of Fredholm integral    
equations of the second kind;
\NM; 34; 1980; 125--141;

%Hamming77a
\rhl{H}
\refB Hamming,  R. W.;
Digital Filters;
Prentice Hall (Englewood Cliffs, NJ); 1977;

%HanB01
% carl 21jan02
\rhl{H}
\refJ Han, Bin;
Approximation properties and construction of Hermite interpolants and
   biorthogonal wavelets;
\JAT; 110(1); 2001; 18--53;

%HanBHogan98
% author 02feb01
\rhl{}
\refP Han, Bin, Hogan, T. A.;
How is a vector pyramid scheme affected by perturbation in the mask?;
\TexasIXc; 97--104;

%HanBJia99
% carl 24mar99
\rhl{H}
\refJ Han, Bin, Jia, Rong-Qing;
Optimal interpolatory subdivision schemes in multidimensional spaces; 
\SJNA; 36(1); 1999; 105--124;

%HanLSchumaker94
\rhl{H}
\refR Han, L., Schumaker, L. L.;
Fitting monotone surfaces to scattered data using $C^1$
piecewise cubics;
\SJNA; 1994;

%HanLarson00a
\rhl{}
\refJ Han, D., Larson, D. R.;
Frames, bases and group representations;
Mem.\ Amer.\ Math.\ Soc.; 147  no.~697; 2000; 94 pp;

%HanSchumaker97
\rhl{}
\refJ Han, L., Schumaker, L. L.;
Fitting monotone surfaces to scattered data using $C^1$
piecewise cubics;
\SJNA; 34; 1997; 569--585;

%HanXL03
% carl 08apr04
\rhl{H}
\refJ Han, Xuli;
Multinode higher order expansions of a function;
\JAT; 124(2); 2003; 242--253;
% ms submitted to \JAT; 2002;

%HanXMLiangXZ90a
% author
\rhl{H}
\refQ Han, X. M., Liang, Xue-Zhang;
On Chebyshev approximation in several variables. III;
(Approximation, Optimization and Computing: Theory and Applications),
A. G. Law and C. L. Wang (eds.), Elsevier Publishers B.V. (North-Holland);
1990; 125--128;

%HandelSegal80
%  MR0584495 (81h:57005) 06jun04
\rhl{}
\refJ Handel, David,  Segal, Jack;
On $k$-regular embeddings of spaces in Euclidean space;
Fund.{} Math.; 106(3); 1980; 231--237;

%Handick79
% larry
\rhl{H}
\refR Handick,  K.;
Monontone und konvexe Spline-Interpolation;
thesis, Free Univ.\ Berlin; 1979;

%Handscomb66a
\rhl{H}
\refP Handscomb,  D. C.;
Spline functions;
\HandscombI; 163--168;

%Handscomb66b
\rhl{H}
\refP Handscomb,  D. C.;
Optimal approximation of linear functionals;
\HandscombI; 169--176;

%Handscomb66c
\rhl{H}
\refP Handscomb,  D. C.;
Optimal approximation by means of spline functions;
\HandscombI; 177--181;

%Handscomb70
% . 24mar99
\rhl{H}
\refP Handscomb, D. C.;
Characterization of best spline approximation with free knots;
\Talbot; 63--70;

%Handscomb80
% larry
\rhl{H}
\refP Handscomb,  D. C.;
Turning corners with four-sided polynomial patches;
\TexasIII; 481--484;

%Handscomb81
\rhl{H}
\refR Handscomb,  D.;
Conditions for a smooth junction between three quasi-rectangular patches;
xx; 1981;

%Handscomb85
\rhl{H}
\refR Handscomb, D. C.;
Recovery of fluid flow fields;
Oxford University Computing Laboratory, Numerical Analysis Group; 1985;

%Handscomb91
% .
\rhl{H}
\refR Handscomb,  D. C.;
Interpolation and differentiation of multivariate functions and interpolation
of divergence free vector fields using surface splines;
Report 91/5, Oxford University Computing Laboratory, Numerical Analysis Group,
11 Keble Road (Oxford OX1 3QD); 1991;

%Handscomb93a
% carl
\rhl{H}
\refJ Handscomb,  D.;
Local recovery of a solenoidal vector field by an extension of the thin-plate
spline technique;
\NA; 5; 1993; 121--129;

%HangelbroekNurnbergerRosslSeidel04
% larry Lai-Schumaker book
\rhl{HanNRSZ04}
\refJ Hangelbroek, T., N\"urnberger, G., R\"ossl, C., Seidel, H.-P., Zeilfelder, F.;
Dimension of $C^1$ splines on type-6 tetrahedral partitions;
\JAT; 131; 2004; 157--184;

%HannaAbelGreenberg83
% carl
\rhl{H}
\refJ Hanna, Samir L., Abel, John F., Greenberg, Donald P.;
Intersection of parametric surfaces by means of look-up tables;
\ICGA; 3(7); 1983; 39--48;

%HannaEvansSchweitzer86a
\rhl{H}
\refJ Hanna,  M. S., Evans, D. G., Schweitzer, P. N.;
On the approximation
of plane curves by parametric cubic splines;
BIT; 26; 1986; 217--232;

%Hansford88
\rhl{H}
\refR Hansford,  D.;
Neutral case for the min-max triangulation;
Ariz.\ State; 1988;

%Hansford91a
\rhl{H}
\refD Hansford,  D.;
Boundary curves with quadric precision for a
tangent continuous scattered data interpolant;
Arizona State University; 1991;

%Hantzschmann76
% larry
\rhl{H}
\refJ Hantzschmann,  K.;
Basisfunktionen f\"ur Polynomsplines;
Wiss.\  Z. Techn.\  Univ.\  Dresden; 25; 1976;  399--403;

%Hanyga91a
\rhl{H}
\refR Hanyga,  A.;
Implicit curve tracing and point-to-curve ray tracing;
Seismo-series  56;, Seismological Observatory, University of Bergen; 1991;

%HaradaKanedaNakamae84
% larry, carl
\rhl{H}
\refJ Harada, Koichi, Kaneda, Kazufumi, Nakamae, Eihachiro;
A further investigation of segmented B\'ezier interpolants;
\CAD; 16(4); 1984; 186--190;
% automatic determination, inflectionpoint generation, tangent vectors.

%HaradaNakamae82
% larry, carl
\rhl{H}
\refJ Harada, Koichi, Nakamae, Eihachiro;
Applications of the B\'ezier curve to data interpolation;
\CAD; 14(1); 1982; 55--59;
% computer-aided design, data interpolation.

%HarderDesmarais72
\rhl{H}
\refJ Harder,  R. L., Desmarais, R. N.;
Interpolation using surface splines;
Journal Aircraft; 9; 1972; 189--197;
%  meinguet: 189--191
% thin-plate, $D^m$-splines

%HardinHogan99a
% author 24feb98 22may98
\rhl{H}
\refR Hardin, D. P., Hogan, T. A. ;
Refinable subspaces of a refinable space;
Vanderbilt Univ.\ Dept.\ of Mathematics Preprint Series, 98-003; 1998;
\PAMS: xx; 200x; xxx--xxx;

%HardinKesslerMassopust92
% hogan 19nov95
\rhl{H}
\refJ Hardin,  D. P., Kessler, B., Massopust, P. R.;
Multiresolution analyses based on fractal functions;
\JAT; 71(1); 1992; 104--120;

%HardinKesslerMassopust99
\rhl{H}
\refR Hardin,  D. P., Kessler, B., Massopust, P. R.;
Multiresolution analyses based on fractal functions;
Vanderbilt Univ., Nashville, Tennessee; xxx;

%Hardy28a
% . 26oct95
\rhl{H}
\refJ Hardy,  G. H.;
Notes on some points in the integral calculus LXIV;
Messenger of Math.; 57; 1928; 12--16;
% original paper containing Hardy's inequality

%Hardy71
% larry
\rhl{H}
\refJ Hardy,  R. L.;
Multiquadric equations of topography
and other irregular surfaces;
J. Geophysical Res.; 76; 1971; 1905--1915;

%Hardy72a
\rhl{H}
\refQ Hardy,  R. L.;
The analytical geometry of topographic surfaces;
(Tech.\ Papers of the $32^{nd}$ Amer.\ Cong.\ on
Surveying and Mapping), xxx (ed.), xxx (xxx); 1972; 163--181;

%Hardy72b
\rhl{H}
\refJ Hardy,  R. L.;
Analytical topographic surfaces by spatial intersection;
Photogrametric Eng.; 38; 1972; 452--458;

%Hardy75
% larry
\rhl{H}
\refJ Hardy,  R. L.;
Research results in the application of
multi-quadratic equations to surveying and mapping problems;
Surveying and  Mapping; 35; 1975; 321--332;

%Hardy77
\rhl{H}
\refJ Hardy,  R. L.;
Least squares prediction;
Photogrammetric Engineering and Remote Sensing; 43; 1977; 475--492;

%Hardy78
\rhl{H}
\refR Hardy,  R. L.;
The application of multiquadric equations and point mass anomaly models to
crustal movement studies;
Iowa State; 1978;

%Hardy81a
\rhl{H}
\refR Hardy,  R. L.;
The biharmonic-harmonic relationships of least squares prediction with
multiquadric functions;
Iowa State; 1981;

%Hardy81b
\rhl{H}
\refR Hardy,  R. L.;
Multiquadric representation of the earth's graviatational field;
Iowa State; 1981;

%Hardy81c
\rhl{H}
\refQ Hardy,  R. L.;
Comparative studies of multiquadric equations and other methods of 
interpolation and prediction; 
(Tech.\ Papers of the $41^{st}$ Amer.\ Cong.\ on Surveying and Mapping),
xxx (ed.), xxx (xxx); 1981; 514--527;

%Hardy83
\rhl{H}
\refQ Hardy,  R. L.;
The biharmonic potential and its geodetic applications;
(Tech.\ Papers of the $43^{rd}$ Amer.\ Cong.\ on  Surveying and Mapping),
xxx (ed.), xxx (xxx); 1983; 530--539;

%Hardy84
\rhl{H}
\refQ Hardy,  R. L.;
Kriging, collocation, and biharmonic models for applications in earth sciences;
(Tech.\ Papers of the $44^{th}$ Amer.\  Cong.\ on Surveying and Mapping),
xxx (ed.), xxx (xxx); 1984; 363--372;

%Hardy90
\rhl{H}
\refJ Hardy,  R. L.;
Theory and applications of the multiquadric-biharmonic method -- 20 years of
   discovery 1968--1988;
\CMA; 19; 1990; 163--208;
% has extensive bibliography

%HardyGopfert81
% larry 12mar97
\rhl{H}
\refJ Hardy,  R. L., G\"opfert, W. M.;
Least squares prediction of gravity anomalies,
   geoidal undulations, and deflection of the vertical
with multiquadric harmonic functions;
Geophy.\ Res.\ Letters; 2; 1981; 423--426;

%HardyLittlewood Polya48
% shayne 05feb96
\rhl{H}
\refB Hardy, G. H., Littlewood, J. E., P\'olya, G.;
Inequalities (Russian edition);
Foreign Literature (Moscow); 1948;
% % translated into the Russian by Levin
% % contains an 80 page supplement written by Levin and Stechkin

%HardyLittlewood Polya34
% shayne 05feb96
\rhl{H}
\refB Hardy, G. H., Littlewood, J. E., P\'olya, G.;
Inequalities;
Cambridge University Press (Cambridge); 1934;
% Oh! the little more, and how much it is!
% And the little less, and what worlds away!  R.B.

%HardyLittlewood32a
% shayne 05feb96
\rhl{H}
\refJ Hardy, G. H., Littlewood, J. E.;
Some integral inequalities connected with the calculus of variations;
Quart.\ J.\ Math.\ Oxford Ser.; 3; 1932; 241--252;
% bound on the error in interpolation by a constant at the endpoint of the 
% interval related to Schmidt's inequality

%HardyNelson86
\rhl{H}
\refJ Hardy,  R. L., Nelson, S. A.;
A multiquadric-biharmonic
representation and approximation of disturbing potential;
Geophys.\ Res.\ Letters; 13; 1986; 18--21;

%Harris75a
% shayne 14sep95
\rhl{H}
\refQ Harris, L. A.;
Bounds on the derivatives of holomorphic functions of vectors;
(Analyse fonctionnelle et applications: comptes rendus du Colloque d'analyse,
 Rio de Janeiro, 1972), L. Nachbin (ed.), 
Hermann (Paris); 1975; 145--163;
% contains references to the result that the norm of a symmetric
% multilinear functional on a Hilbert space is taken on when all
% its arguments are equal, the earliest being %Kellogg28
% Shayne searched for this classical result which is the basis of %ChenDitzian
% for a long time

%Harris81a
% shayne 26oct95
\rhl{H}
\refQ Harris, L.;
Commentary on Problem 73;
(The Scottish Book), R. D. Mauldin (ed.),
Birkh\"auser (Stuttgart??); 1981; 143--146;
% contains a problem on computing the norm of a symmetric multilinear map

%Harris96a
% shayne 20feb96
\rhl{H}
\refJ Harris, L. A.;
Bernstein's polynomial inequalities and functional analysis;
Irish Math.\ Soc.\ Bull.; 36; 1996; xxx-xxx;
% a survey article dealing with such things as computing the
% norm of a symmetric multilinear mapping

%Harten86a
% . 21feb96
\rhl{H}
\refQ Harten, Ami;
On high-order accurate interpolation for nonoscillatory shock capturing schemes;
(Oscillation theory, computation, and methods of compensated compactness,
Minneapolis, Minn., 1985), xxx (ed.),
IMA Vol.\ Math.\ Appl., 2, Springer (New York); 1986; 71--105;
% 35L65
% order of points in polynomial interpolation: choose next point so as to get
% smallest next divided difference. Good near shocks.

%Harten94
% carlrefs 20nov03
\rhl{}
\refR Hartin, Ami;
Multiresolution representation of data II. General framework;
Dept.\ Appl.\ Math.{} TR 3-94 (Tel-Aviv U); 1994;

%Hartley76
\rhl{H}
\refJ Hartley,  P. J.;
Tensor product approximations to data defined on rectangular meshes
in $n-$space;
\CJ; 19; 1976; 348--352;

%HartleyJudd78
% carl
\rhl{H}
\refJ Hartley, P. J., Judd, C. J.;
Parametrization of B\'ezier-type B-spline curves and surfaces;
\CAD; 10(2); 1978; 130--134;

%HartleyJudd80
% carl
\rhl{H}
\refJ Hartley, P. J., Judd, C. J.;
Parametrization and Shape of B-Spline Curves for CAD;
\CAD; 12(5); 1980; 235--238;

%HartleySielken80
\rhl{H}
\refR Hartley,  H. O., Sielken, R. L.;
Smooth nonparametric regression by quadratic programming;
Texas A\& M.; 1980;

%HartmanKeelerKowalski90
\rhl{H}
\refJ Hartman,  E. J., Keeler, J. D., Kowalski, J. M.;
Layered neural networks with gaussian hidden units as 
universal approximations; 
{Neural Computation}; 2; 1990; 210--215;

%Hartmann99
\rhl{H}
\refR Hartmann, E.;
Blending of implicit surfaces with functional splines;
xx; xx;

%HaskellHanson78
\rhl{H}
\refR Haskell,  K. H., Hanson, R. J.;
An algorithm for linear least squares problems with equality and
nonnegativity constraints;
Sandia; 1978;

%HassJousselin76
\rhl{H}
\refQ Hass,  A., Jousselin, C.;
Geostatistics in petroleum industry;
(Advanced Geostatistics in the Mining Industry),
M. Guarascio {\sl et al} (eds.), D. Reidel (Dordrecht); 1976; 333--347;

%HastieStuetzle89
% carl 26aug99
\rhl{H}
\refJ Hastie, Trevor, Stuetzle, Werner;
Principal curves;
J. Amer.\ Statist.\ Assoc.; 84(406); 1989; 502--516;
% variational
% a constant-speed curve $\gamma:[0..1]\to R^d$ is principal for a given 
% random $S$ in $R^d$ if, for each parameter value $t$,  $\gamma(t)$ is the 
% average of the points in $S$ for which it is the closest point (the last 
% such if there are % several) from $\gamma[0..1]$.

%Hatamov80
\rhl{H}
\refJ Hatamov,  A.;
Spline approximation of functions with a
	 convex derivatives (Russian);
Dokl.\  Akad.\ Mauk.\  UzSSR.; 3; 1980;  4--6;

%HattenWorthingtonMakin86
\rhl{H}
\refB Hatten,  L., Worthington, M. H., Makin, J.;
Seismic Data Processing: Theory and Practice; 
Blackwell Scientific Publication (Oxford); 1986;

%Hausberg82
\rhl{H}
\refR Hausberg,  M.;
Interpolation zweidimensionaler Fl\"achen;
Diplom, Univ.\ Hamburg; 1982;

%Hausdorff49a
\rhl{H}
\refB Hausdorff,  F.;
 Grundz\"uge der Mengenlehre;
Verlag Veit, Leipzig 1914. Reprint Chelsea (New York); 1949;

%Haussmann69
\rhl{H}
\refD Haussmann,  W.;
Hermite-Interpolation in mehreren Ver\"anderlichen;
Bochum; 1969;

%Haussmann70
\rhl{H}
\refJ Haussmann,  W.;
Tensorprodukte and mehrdimensionale Interpolation;
\MZ; 113; 1970; 17--23;

%Haussmann70b
\rhl{H}
\refQ Haussmann,  W.;
Mehrdimensionale Hermite-Interpolation;
(Numerical Methods of Approximation Theory Vol.\ 1),
L. Collatz, G. Meinardus \& H. Werner (eds.),
Birkh\"auser Verlag (Basel); 1970; 147--160;

%Haussmann70c
% larry
\rhl{H}
\refR Haussmann,  W.;
Zur Theorie der Spline-Systeme;
Habilitationsschrift, Bochum; 1970;

%Haussmann72
\rhl{H}
\refJ Haussmann,  W.;
Alternanten bei mehrdimensionaler Tschebyscheff-Approximation;
Z. Angew.\ Math.\ Mech.; 52; 1972; T206--T208;

%Haussmann72b
\rhl{H}
\refJ Haussmann,  W.;
Tensorproduktmethoden bei mehrdimensionaler
Interpolation;
\MZ; 124; 1972; 191--198;

%Haussmann74
% sonya
\rhl{H}
\refJ Haussmann,  W.;
On multivariate  spline systems;
\JAT; 11; 1974; 285--305;

%Haussmann79
\rhl{H}
\refP Haussmann,  W.;
On a multivariate Rolle type theorem and the interpolation remainder
formula;
\MvatI; 137--145;

%Haussmann87
\rhl{H}
\refP Haussman,  W.;
Approximation by harmonic functions;
\Chile; 111--124;

%HaussmannJetterSteinhaus85
\rhl{H}
\refJ Haussmann,  W., Jetter, K., Steinhaus, B.;
Degree of best approximation by trigonometric blending functions;
\MZ; 189; 1985; 143--150;

%HaussmannKnoop71
% larry
\rhl{H}
\refJ Haussmann,  W., Knoop, H. B.;
Divergenz und Konvergenz zweidimensionaler
Lagrange-Interpolation;
\ZAMM; 51; 1971; T22--T23;

%HaussmannKnoop76
\rhl{H}
\refJ Haussmann,  W., Knoop, H. B.;
On two dimensional interpolation;
Coll.\ Math.\ Soc.\ Boyai; 19; 1976; 411--423;

%HaussmannKnoop78
\rhl{H}
\refQ Haussmann,  W., Knoop, H. B.;
On two-dimensional interpolation;
(Fourier Analysis and Approximation Theory, Vol.\ I),
P. Alexits and P. Turan (eds.), North Holland (Amsterdam); 1978; 411--423;

%HaussmannMunch73
% larry
\rhl{H}
\refP Haussmann,  W., M\"unch, H. J.;
On the construction of multivariate spline systems;
\TexasI; 373--378;

%HaussmannMunch74
\rhl{H}
\refP Haussmann,  W., M\"unch, H. J.;
Topological spline systems;
\BoehmerII; 109--127;

%HaussmannPottinger73
\rhl{H}
\refJ Haussmann,  W., Pottinger, P.;
Zur Konvergenz mehrdimensionaler Interpo\-la\-tions\-ver\-fahren;
\ZAMM; 53; 1973; T195--T197;

%HaussmannPottinger77
% sonya
\rhl{H}
\refJ Haussmann,  W., Pottinger, P.;
On the construction and convergence of multivariate
interpolation operators;
\JAT; 19; 1977; 205--221;

%HaussmannPottinger77b
\rhl{H}
\refP Haussmann,  W., Pottinger, P.;
On multivariate approximation by continuous linear operators;
\Schempp; 101--108;

%HaussmannRogge87
\rhl{H}
\refQ Haussmann,  W., Rogge, L.;
Uniqueness inequality and best harmonic $L^1$-approximation;
(Inequalities V), W. Walter (ed.), Birkh\"auser (Basel); 1987; XX;

%HaussmannZeller80
% larry
\rhl{H}
\refP Haussmann,  W., Zeller, K.;
Multivariate approximation and tensor products;
\TexasIII; 495--500;

%HaussmannZeller83
\rhl{H}
\refJ Haussmann,  W., Zeller, K.;
Blending interpolation and best $L^1-$ approximation;
Arch.\ Math.; 40; 1983; 545--552;

%HaussmannZeller83b
% larry
\rhl{H}
\refP Haussmann,  W., Zeller, K.;
Uniqueness and nonuniqueness in bivariate $L^1-$approx\-ima\-tion;
\TexasIV; 509--514;

%HaussmannZeller84
\rhl{H}
\refP Haussmann,  W., Zeller, K.;
Mixed norm multivariate approximation with blending functions;
\VarnaIV; 403--408;

%HaussmannZeller85
\rhl{H}
\refP Haussmann,  W., Zeller, K.;
Bivariate approximation procedures;
\MvatIII; 221--231;

%HaussmannZeller86
% larry
\rhl{H}
\refP Haussmann,  W., Zeller, K.;
Best approximation by harmonic functions;
\TexasV; 379--382;

%Haverkamp78a
\rhl{H}
\refJ Haverkamp, Richard;
Approximationseigenschaften differenzierter Interpolationspolynome;
\JAT; 23(3); 1978; 261--266;

%Haverkamp85
\rhl{H}
\refR Haverkamp,  R.;
Zum Stabilit\"atsproblem f\"ur den Balken
	 ohne Schubdeformation;
Rept.\  745,  Univ.\ Bonn; 1985;

%Hayes70a
% carl
\rhl{H}
\refP Hayes,  J. G.;
Curve fitting by polynomials in one variable;
\Hayes; 43--64;
% possibly constrained and/or weighted fit to scalar-valued data.

%Hayes70b
% carl
\rhl{H}
\refP Hayes,  J. G.;
Fitting data in more than one variable;
\Hayes; 84--97;
% structured data (e.g., scattered points on a family of curves)

%Hayes70c
\rhl{H}
\refB Hayes,  J. G. (ed.);
Numerical Approximation to Functions and Data;
Athlone Press (London); 1970;

%Hayes74
\rhl{H}
\refJ Hayes,  J. G.;
Numerical methods for curve and surface fitting;
Bull.\ Inst.\ Math.\ Applics.; 10; 1974; 144--152;

%Hayes74a
\rhl{H}
\refP Hayes,  J. G.;
Algorithms for curve and surface fitting;
\Evans;  219--233;

%Hayes74c
\rhl{H}
\refQ Hayes,  J. G.;
New shapes from bicubic splines;
(Proceedings of CAD 74{;} International Conference in Engineering and Building 
Design), xxx (ed.), International Publishing Company (London); 1974; fiche 36, 
row G;

%Hayes76
\rhl{H}
\refP Hayes,  J. G.;
Curved knot lines and surfaces with ruled segments;
\DundeeII;  140--156;

%Hayes77
\rhl{H}
\refR Hayes,  J. G.;
Some practical applications in discrete multivariate approximation;
NPL NAC84; 1977;

%Hayes78
\rhl{H}
\refQ Hayes,  J. G.;
Data-fitting algorithms available, in preparation, and in
	 prospect, for the  NAG Library;
(Numerical Software,  Needs and Availability),
D.  Jacobs (ed.), Academic  Press (London); 1978; 183--202;

%Hayes99
\rhl{H}
\refP Hayes,  J. G.;
Available algorithms for curve and surface fitting;
\Evans; xxx;

%HayesHalliday74
\rhl{H}
\refJ Hayes,  J. G., Halliday, J.;
The least squares fitting of cubic spline surfaces
to general data sets;
\JIMA; 14; 1974; 89--103;

%HaymanKershawLyons84
\rhl{H}
\refP Hayman,  W. K., Kershaw, D., Lyons, T. J.;
The best harmonic approximant to a continuous function;
\ButzerV; 317--327;

%Hazlewood93
%% larry 2/03 Lai-Schumaker book
\rhl{Haz93}
\refJ Hazlewood, C.;
Approximating constrained tetrahedralizations;
\CAGD; 10; 1993; 67--87;

%He91
\rhl{H}
\refD He, Tian-Xiao;
$C^1$ quadratic finite element analysis and its applications;
Texas A\&M Univ.; 1991;

%He94
% larry Lai-Schumaker book
\rhl{He94}
\refQ He, T. X.;
Admisssible location of sample points of interpolation by
bivariate $C^1$ quadratic splines;
(Approximation, Probability, and Related Fields),
G. Anastassiou and S. T. Rachev (eds.), Plenum (New York);
1994; 283--296;

%He95
% larry Lai-Schumaker book
\rhl{He95}
\refJ He, T. X.;
Shape criteria of Bernstein--B\'ezier polynomials
   over simplexes;
\CMA; 30; 1995; 317--333;

%HeMKambhamettu98
% larry 10sep99
\rhl{}
\rhl{H}
\refP He, M., Kambhamettu, C.;
Approximation to small deformation of surfaces and its application;
\TexasIXc;  105--112;

%HeTX97
% larry 10sep99
\rhl{He}
\rhl{H}
\refP He, T. X.;
Positivity and convexity criteria for Bernstein-B\'ezier polynomials
over simplices;
\ChamonixIIIa; 169--176;

%HeTX98
% larry 10sep99
\rhl{}
\rhl{H}
\refP He, T. X.;
Biorthogonal spline approximation and its wavelet analysis;
\TexasIXc;  113--120;

%HeWLaiMJ03
% larry Lai-Schumaker book
\rhl{HeWL03}
\refJ He, W. J., Lai, M. J.;
Construction of trivariate compactly supported biorthogonal box wavelets;
\JAT; 120; 2003; 1--19;

%HeWLaiMJ97
% mjlai 20apr99
\rhl{H}
\refJ  He, W.,   Lai, M. -J.;
On digital filters associated with bivariate box spline wavelets;
J. Electronic Imaging;  6; 1997; 453--466;
 
%HeWLaiMJ97
% mjlai 20apr99
\rhl{H}
\refR  He, W.,   Lai, M. J.;
 Examples of bivariate nonseparable compactly supported orthonormal
continuous wavelets;
in {\sl Wavelet Applications in Signal and Image Processing IV} 
(proceedings of SPIE, vol.~3169), xxx (ed.), Bellingham (WA); 1997; 303--314;

%HeWLaiMJ98
% mjlai 20apr99
\rhl{H}
\refP He, W.,  Lai, M. J.;
A new sufficient condition for the orthonormality of refinable functions;
\TexasIXc; 121--128;

%HeWLaiMJ98b
% larry Lai-Schumaker book
\rhl{HeWL98}
\refRa  He, W. J., Lai, M. J.;
Bivariate box spline wavelets in Sobolev spaces;
in {\it Proceedings of SPIE, Vol.~3458}, 1998;  56--66;

%HeWLaiMJ99
% larry Lai-Schumaker book
\rhl{HeWL99}
\refJ He, W. J.,   Lai, M. J.; 
Construction of bivariate compactly supported biorthogonal 
   box spline wavelets with arbitrarily high regularities;
\JACHA; 6; 1999; 53--74;

%HeWLaiMJ9x
% mjlai 20apr99
\rhl{H}
\refR  He, W.,  Lai, M. -J.;
Construction of trivariate compactly supported biorthogonal box
   wavelets; 
submitted; 1999;

%HeXMShenLXShenZW0x
%  author 16mar01
\rhl{H}
\refJ He, Xuming, Shen, Lixin, Shen, Zuowei;
A data-adaptive knot selection scheme for fitting splines;
IEEE Signal Processing Letters; xx; 200x; xxx--xxx;
% http://www.math.nus.edu.sg/~matzuows/spline.ps
% shortened version of HeXMShenLXShenZW9x 

%HeXMShenLXShenZW9x
% . 24mar99
\rhl{H}
\refR He, Xuming, Shen, Lixin, Shen, Zuowei;
A knot selection scheme for fitting splines;
preprint; 1999;

%Heap72
\rhl{H}
\refR Heap,  B. R.;
Algorithms for the production of contour maps over an irregular triangular
mesh;
NPL, NAC10; 1972;

%Heap74
\rhl{H}
\refR Heap,  B. R.;
Two FORTRAN contouring routines;
NPL, NAC47; 1974;

%HeapPink69
\rhl{H}
\refR Heap, B. R., Pink, M.;
Three contouring algorithms;
National Physical Laboratory, Division of Numerical and Applied Mathematics
Report \#81; 1969;

%HedstromVarga71
% sonya
\rhl{H}
\refJ Hedstrom,  G. W., Varga, R. S.;
Application of Besov spaces to spline approximation;
\JAT; 4; 1971; 295--327;

%HeidrichBartelsLabahn97
% larry 10sep99
\rhl{HBL}
\rhl{H}
\refP Heidrich, W., Bartels, R., Labahn, G.;
Fitting uncertain data with NURBS;
\ChamonixIIIa; 177--184;

%Heighway83
% larry Lai-Schumaker book
\rhl{Hei83}
\refJ Heighway, E.;
A mesh generator for automatically subdividing irregular polygons
into quadrilaterals;
\ITM; 19; 1983; 2535--2538;

%HeilColella96a
% hogan 5dec96
\rhl{H}
\refJ Heil, C., Colella, D.;
Matrix refinement equations: existence and uniqueness;
\JFAA; 2(4); 1996; 363--377;

%HeilStrangStrela96
% . 14sep95 07may96
\rhl{H}
\refJ Heil, C., Strang, G., Strela, V.;
Approximation by translates of refinable functions;
\NM; 73(1); 1996; 75--94;

%HeilWalnut89
% shayne 16mar01
\rhl{}
\refJ Heil, C. E., Walnut, D. F.;
Continuous and discrete wavelet transforms;
\SR; 31(4); 1989; 628--666;

%HeinLenze79
\rhl{H}
\refJ Hein,  G. W., Lenze, K.;
Concerning accuracy and economy
of various interpolation and prediction methods;
Z. Vermessungswesen; XX; 1979; 492--505;

%Heindl68
% larry
\rhl{H}
\refD Heindl,  G.;
\"Uber verallgemeinerte Stammfunktionen und $LC-$
Funktionen in $\RR^n$;
Munich; 1968;

%Heindl69
% larry
\rhl{H}
\refJ Heindl,  G.;
Spline-Funktionen mehrerer Ver\"anderlicher.\ I.
Definition und Erzeugung durch Integration;
Sitz.\ Ber.\ Bayer.\ Akad.\ Wiss.\ Math.\ Nat.\ KL.; 6; 1969; 49--63;

%Heindl73
\rhl{H}
\refJ Heindl,  G.;
Spline-Funktionen als Interpolationsfunktionen mit
Betrags\-minimalen $n-$ten Ableitungen und die Approximation
 von Peanofunktionalen;
\ZAMM; 53; 1973; T--161--162;

%Heindl73b
% larry
\rhl{H}
\refJ Heindl,  G.;
\"Uber normminimale Steuerungen von $L$-Prozessen und lineare Optimierung
bei normbeschr\"ankten Steuerungen;
Manuscript.\ Math.; 9; 1973; 323--331;

%Heindl74
% larry
\rhl{H}
\refP Heindl,  G.;
\"Uber lineare Optimierungsprobleme, die sich auf Probleme der
glattesten Interpolation zur\"uckf\"uhren lassen;
\BoehmerII; 129--148;

%Heindl79
\rhl{H}
\refP Heindl,  G.;
Interpolation and approximation by piecewise quad\-ratic
 $C^1-$ functions of two variables;
\MvatI; 146--161;

%Heindl85
\rhl{H}
\refP Heindl,  G.;
Construction and applications of Hermite interpolating quad\-ratic
spline functions of two and three variables;
\MvatIII; 232--252;

%Heinig97
% . 22may98
\rhl{H}
\refJ Heinig, XXX.;
Generalized Cauchy-Vandermonde matrices;
\LAA; 270; 1997; 45--77;

%Hejna99
\rhl{H}
\refR Hejna, M.;
Curvature properties of the angle bisection curve;
Lawrence Tech.\ Univ.; xx;

%HelfrichZwickxx
% carlrefs 20nov03
\rhl{}
\refR Helfrich, H.-P., Zwick, D.;
A trust region algorithm for parametric curve and surface fitting;
ms; xxx;

%HelzelPetrasxx
% carlrefs 20nov03
\rhl{}
\refR Helzel, Christiane, Petras, Knut;
Numerical estimation of projection constants;
ms; 199x;

%Hennequin81
\rhl{H}
\refR Hennequin,  D.;
Algorithms to compute splines satisfying
	 arbitrary conditions or least oscillation criterias;
Rpt.;  1981;

%HenningerScherer94
% larry
\rhl{H}
\refP Henninger, C., Scherer, K.;
On best convex interpolation of curves;
\ChamonixIIa; 233--240;

%HenrySchmidt81a
% shayne 14sep95
\rhl{H}
\refJ Henry, M. S., Schmidt, D.;
Error bounds for polynomial product approximation;
\JAT; 31; 1981; 6--21;
% bounds the error in tensor product polynomial approximation by the error
% the best approximation from the corresponding space of polynomials

%Hensley82
% . 08apr04
\rhl{}
\refJ Hensley, Douglas;
Eulerian numbers and the unit cube;
Fibonacci Quart.; 20(4); 1982; 344--348;
% relating Eulerian numbers to B-splines via Sommerfeld's shadow

%HeoSXuY00
% author 21jan02
\rhl{}
\refJ Heo, Sangwoo, Xu, Yuan;
Invariant cubature formulae for spheres and balls by combinatorial
   methods;
\SJNA; 38(2); 2000; 626--638;

%HeringL83
% larry, carl
\rhl{H}
\refJ Hering, Leonhard;
Closed $C^2$ and $C^3$ continuous B\'ezier and B-spline curves with given
tangent polygons;
\CAD; 15(1); 1983; 3--6;
% geometry.

%HeringT85
\rhl{H}
\refJ Hering,  T.;
Darstellung von B\'ezier-Kurven als B-Spline-Kurven;
\C; 31; 1985;  149--153;

%Hermann91
\rhl{H}
\refJ Hermann,  T.;
On a tolerance problem of parametric curves and surfaces;
\CAGD; xxx; to appear; xxxx;

%Hermann96
% jorg 21jan02
\rhl{H}
\refJ Hermann,  T.;
$G^2$ interpolation of free-form curve networks by biquintic Gregory patches;
\CAGD; 13; 1996; 873--893;

%Hermeline82
\rhl{H}
\refJ Hermeline,  F.;
Triangulation automatique d'un polyedre en dimension $n$;
RAIRO Anal.\ Numer.; 76; 1982; 211--212;

%Hermite59a
% .
\rhl{H}
\refJ Hermite, Ch.;
Sur l'interpolation;
\CRASP; 48; 1859; 62--67;
% \OEuvres: 2: 1908: 87--92:
% Does weighted discrete least-squares approximation by polynomials, in 
% reaction to Chebyshev's (Tchebichef) treatment, in a memoir on continued 
% fractions presented to the Academy in Saint-Petersburg in 1855.
% %Norlund24 mistakenly identifies this paper as the source of the
%  Hermite(-Genocchi) formula. It's actually %Hermite78a, and %Genocchi69 is
% earlier and more directly deals with representing the divided difference.

%Hermite78a
% carl 23may95
\rhl{H}
\refJ Hermite, Ch.;
Formule d'interpolation de Lagrange;
\JRAM; 84; 1878; 70--79;
% \OEuvres: 3: 1912: 432--443:
% introduction of Hermite interpolation, getting the interpolant F to f in
% the form f(x) = F(x) + \int_S {f(z)Phi(x)\over (z-x)Phi(z)}\dd z with 
% Phi(z) := (z-a_0)\cdots(z-a_n) and S a simple curve having all the a_j in its
% interior. Uses calculus of residues and partial fraction expansions.
% In a postscriptum, the Genocchi-Hermite formula appears in the following
% form: (1/2\pi\ii)\int_S f(z)/Phi(z) \dd z =
%  \int_0^1\int_0^{t_1}\cdots\int_0^{t_{n-1}} 
%   D^n f((a_0-a_1)t_1+ \cdots +(a_{n-1}-a_n)t_n + a_n)\dd t_n\cdots\dd t_1 .
% See Frobenius71, Bendixson85

%Hermite78b
% carl 23jun03
\rhl{}
\refJ Hermite, Ch.;
Sur le formule de Maclaurin;
\JRAM; 84; 1978; 64--69;

%Herriot73
% larry
\rhl{H}
\refJ Herriot,  J. G.;
Algorithm 472: Procedures for natural
	 spline interpolation;
\CACM; 12; 1973;  763--768;

%HerriotReinsch73
\rhl{H}
\refJ Herriot,  J. G., Reinsch, C. H.;
Algol 60 procedures  for the calculation of
	 interpolating natural spline functions;
\CACM; 16; 1973;  763--768;

%HerriotReinsch76
% . 12mar97
\rhl{H}
\refJ Herriot, J. G., Reinsch, C. H.;
Algorithm 507: Procedures for quintic natural spline interpolation;
\ACMTMS; 2; 1976; 281--289;

%HerriotReinsch83
% . 12mar97
\rhl{H}
\refJ Herriot, J. G., Reinsch, C. H.;
Algorithm 600: Translation of Algorithm 507, Procedures for quintic natural
   spline interpolation;
\ACMTMS; 9; 1983; 258--259;

%Herron79
% larry
\rhl{H}
\refD Herron,  G. J.;
Triangular and multisided patch schemes;
Univ.\ Utah; 1979;

%Herron85a
% greg
\rhl{H}
\refJ Herron,  G.;
Smooth closed surfaces with discrete triangular
interpolants;
\CAGD; 2; 1985; 297--306;

%Herron85b
% carl
\rhl{H}
\refJ Herron,  Gary J.;
A characterization of certain $C^1$ discrete
triangular interpolants;
\SJNA; 22; 1985; 811--819;

%Herron87
\rhl{H}
\refP Herron,  G. J.;
Techniques for visual continuity;
\Troy; 163--174;

%Hertling70
% larry
\rhl{H}
\refJ Hertling,  J.;
Approximation of piecewise continuous functions by
	 a modification of piecewise Hermite interpolation;
\NM; 15;  1970;  404--414;

%HessSchmidtJ86
% .
\rhl{H}
\refJ He\ss, W., Schmidt, J. W.;
Convexity preserving interpolation with exponential splines;
\C; 36; 1986; 335--342;
% shape preserving

%HessSchmidtJ94
% larry
\rhl{H}
\refP He\ss, W., Schmidt, J. W.;
Direct methods for constructing  positive spline interpolants;
\ChamonixIIb; 287--294;

%HessingLeePiercePowers72
% larry
\rhl{H}
\refJ Hessing,  R., Lee, H. K., Pierce, A., Powers, E. N.;
Automatic contouring using bicubic functions;
Geophysics; 37; 1972; 669--674;

%Hesthaven98
% carl 22may98
\rhl{H}
\refJ Hesthaven, J. S.;
From electrostatics to almost optimal nodal sets for
   polynomial interpolation in a simplex;
\SJNA; 35(2); 1998; 655--676;
% Gauss-Legendre points at the tree edges of a triangle provide near-optimal
% interpolation points. Bivariate

%HigashiHaradaKuroda00
% larry 20apr00
\rhl{}
\refP Higashi, Masatake, Harada, Hiroto, Kuroda, Mitsuru;
Generation of surfaces with smooth highlight lines;
\Stmalod; 145--152;

%Higgins85
\rhl{H}
\refJ Higgins,  J. R.;
Five short stories about the cardinal series;
\BAMS, New Series;
12;
1985;
45--89;

%HighamN96
% carl 20nov03
\rhl{}
\refB Higham, Nicholas J.;
Accuracy and stability of numerical algorithms;
SIAM (Philadelphia); 1996;
% includes rounding error analysis of Newton form and divided differences

%Hilbert90a
% sauer
\rhl{}
\refJ Hilbert, D.;
\"Uber die Theorie der algebraischen Formen;
\MA; 36; 1890; 473--534;
% Hilbert basis theorem

%HillD99
\rhl{H}
\refR Hill,  D. R.;
Second derivative multistep formuals based on g-splines;
xx; 19xx;

%HillI69
\rhl{H}
\refJ Hill,  I. D.;
Note on Algorithm 40: Spline interpolation of degree  three;
\CJ; 12; 1969;	409;

%Hirschowitz85
% carl
\rhl{H}
\refJ Hirschowitz,  A.;
La m\'ethode d'Horace pour l'interpolation \`a plusieurs variables;
Manuscr.\ Math.; 50; 1985; 337--388;
% special cases of the following conjecture are proved: the smallest degree
% of a (nontrivial) polynomial that vanishes to order at least $t$ at $m$ sites
% in $\FF^n$ is $\le w'_t(n,m):=$ smallest integer $d$ for which
% $\binom{d+n}n>m\binom{t+n-1}n$, and this bound is sharp.

%Hirschowitz89
% carl 03apr06
\rhl{H}
\refJ Hirschowitz,  A.;
Une conjecture pour la cohomologie des diviseurs sur les surfaces
rationnelles g\'en\'eriques;
\JRAM; 397; 1989; 208--213;
% conjecture, if true, would permit one to compute the dimension of the
% linear system of all plane curves passing through a given sequence of planar
% points with prescribed multiplicities.

%HobbyCRice65
% carl
\rhl{H}
\refJ Hobby,  C. R., Rice, J. R.;
A moment problem in $L_1$-approximation;
\PAMS; 16; 1965; 665--670;
% MR: 31.2550

%HobbyCRice67
% carl
\rhl{H}
\refJ Hobby,  C. R., Rice, J. R.;
Approximation from a curve of functions;
Arch.\ Rational Mech.\ Anal.; 24; 1967; 91--106;

%HobbyJ85
\rhl{H}
\refR Hobby,  J. D.;
Smooth	easy to compute interpolating splines;
Rpt.\  Comp.\ Sci.\  Stanford; 1985;

%HobbyJ88
% larry
\rhl{H}
\refP Hobby,  J. D.;
Smoothing digitized contours;
\Earn; 777--793;

%HochwaldMarzetta00
% shayne 06jun04
\rhl{}
\refJ Hochwald, B. M., Marzetta, T. L.;
Unitary space-time modulation for multiple-antenna communications in 
   Rayleigh flat fading;
IEEE Trans.{} Inform.{} Theory; 46(2); 2000; 543--564;

%Hoeffding74
% sonya
\rhl{H}
\refJ Hoeffding,  W.;
The $L_1$ norm of the approximation error for splines
	 with equidistant knots;
\JAT; 11; 1974;  176--193;

%Hoffmann88
\rhl{H}
\refR Hoffmann,  C. M.;
The problem of accuracy and robustness in geometric computation;
Purdue; 1988;

%Hoffmann88b
\rhl{H}
\refR Hoffmann,  Christoph M.;
Applying algebraic geometry to surface intersection evaluation;
TR No.\ CSD-TR-772, Comp.\ Sci.\ Dept., Purdue, West Lafayette IN, April;
1988;

%Hoffmann89a
\rhl{H}
\refB Hoffmann,  C. M.;
Geometric and Solid Modeling;
Morgan Kaufmann (xxx); 1989;

%Hoffmann90
% carl
\rhl{H}
\refP Hoffmann,  Christoph M.;
Algebraic and numerical techniques for offsets and blends;
\Teneriffe; 499--528;

%HoffmannHopcroft85b
% larry
\rhl{H}
\refJ Hoffmann,  C., Hopcroft, J.;
Automatic surface generation in computer aided design;
Visual Computer; 1; 1985; 92--100;

%HoffmannHopcroft86
% larry, carl
\rhl{H}
\refJ Hoffmann, Christoph, Hopcroft, John;
Quadratic blending surfaces;
\CAD; 18(6); 1986; 301--306;
% geometry, modelling.

%HoffmannHopcroft87
\rhl{H}
\refP Hoffmann,  C., Hopcroft, J.;
The potential method for blending surfaces and corners;
\Troy; 347--366;

%HoffmannLynch87
\rhl{H}
\refR Hoffmann,  Christoph M., Lynch, R. E.;
Following space curves numerically;
TR No.\ CSD-TR-684, Comp.\ Sci.\ Dept., Purdue, West Lafayette IN, May;
1987;

%HoffmannPeters95a
% . 21feb96
\rhl{H}
\refP Hoffmann, C., Peters, J.;
Geometric constraints for CAGD;
\Ulvik; xxx--xxx;
% CSD-TR-93-054, CS, Purdue U., 1994

%Hogan95a
% carl 14sep95
\rhl{H}
\refP Hogan, T.;
Stability and independence of the shifts of a multivariate refinable
   function;
\TexasVIIIw; 159--166;

%Hogan97a
% author 20feb96 22may98
\rhl{H}
\refJ Hogan, T. A.;
Stability and independence of the shifts of finitely many refinable functions;
\JFAA; 3; 1997; 757--774;
% CMS.\ Techn.\ Rep.\ 96-04: 1996: 

%Hogan98a
% author 24feb98 22may98
\rhl{H}
\refJ Hogan, T. A.;
A note on matrix refinement equations;
\SJMA; 29; 1998; 849--854;

%Hogan99
% author 26aug98
\rhl{H}
\refJ Hogan, T. A.;
Stability and independence for multivariate refinable distributions;
\JAT; 98(2); 1999; 248--270;
% CMS.\ Techn.\ Rep.\ 95-07: 1995:

%HoganJia0x
% author 02feb01
\rhl{}
\refJ Hogan, Thomas A., Jia, Rong-qing;
Dependency relations among th shifts of a multivariate refinable distribution;
\CA; xx; 200x; xxx--xxx;

%HogervorstDamme93a
% Ruud van Damme 20feb96
\rhl{H}
\refQ Hogervorst, B., Damme, R. van;
Degenerate polynomial patches of degree 11 for almost GC2 interpolation over 
   triangles;
(Numerical Algorithms 5), M.G. Cox, J.C. Mason (eds.),
J.C. Baltzer AG (Basel); 1993; 557--568;

%Hoggar98
% shayne 03apr06
\rhl{}
\refJ Hoggar, S. G.;
$64$ lines from a quaternionic polytope;
Geom.\ Dedicata; 69 no.~3; 1998; 287--289;

%HohmeyerBarsky89
% barsky
\rhl{H}
\refJ Hohmeyer,  M. E., Barsky, B. A.;
Rational continuity: parametric and geometric continuity of rational
polynomial curves;
\ACMTG; 8(4); 1989; 335--359;

%Holladay57
% larry carlrefs
\rhl{H}
\refJ Holladay,  J. C.;
A smoothest curve approximation;
Math.\  Tables Aids Computation; 11; 1957;  233--243;

%Holladay99
\rhl{H}
\refR Holladay,  J. C.;
Optimal fits for functions and functionals with
	 block data and inaccurate data;
XX; 19xx;

%Holland93
% .
\rhl{H}
\refD Holland, D.;
Generalized Minimum Norm Networks;
Ph.D., University of Calgary (CANADA); 1993;

%HollandLightSulley82
\rhl{H}
\refJ Holland,  S. M., Light, W. A., Sulley, L. J.;
On proximinality in $L_1T \times S$;
\PAMS; 86; 1982; 279--282;

%HollandPhillipsTaylor80a
% shayne 26oct95
\rhl{H}
\refP Holland, A. S. B., Phillips, G. M., Taylor, P. J.;
Generalisation of a theorem of Bernstein;
\TexasIII; 513--516;

%HollandPhillipsTaylor84a
% shayne 26oct95
\rhl{H}
\refJ Holland, A. S. B., Phillips, G. M., Taylor, P. J.;
A relation between Peano kernels and a theorem of Bernstein;
\JAT; 41; 1984; 386--389;
% this paper shows that the sign of a Peano kernel is constant iff the linear
% functional evaluated at f can be expressed as the linear functional evaluated
% at ()^k/k! multiplied by D^kf(\xi) for some choice of \xi in the interval of
% interest.

%Hollig03
% Klaus Hollig 23jun03
\rhl{}
\refB H\"ollig, K.;
Finite Element Methods with B-Splines;
SIAM (Philadelphia, PA); 2003;
% Weighted meshless approximations, error estimates,
% multigrid techniques, implementation of Ritz-Galerkin
% schemes.

%Hollig77
% larry
\rhl{H}
\refR H\"ollig,  K.;
Spline-Approximation auf freien Knoten und $V^p_{k,\lambda}$-R\"aume;
Diplomarbeit, Bonn; 1977;

%Hollig81
% sonya
\rhl{H}
\refJ H\"ollig,  K.;
$L_\infty$ boundedness of $L_2$ projections
   on splines for a geometric mesh;
\JAT; 33; 1981;  318--333;

%Hollig81b
\rhl{H}
\refJ H\"ollig,  K.;
A remark on multivariate B-splines;
\JAT; 33; 1982; 119--125;

%Hollig82a
% carl
\rhl{H}
\refJ H\"ollig,  Klaus;
Multivariate splines;
\SJNA; 19; 1982; 1013--1031;

%Hollig85
\rhl{H}
\refR H\"ollig,  K.;
Multivariate splines;
CSTR 620, University of Wisconsin, Madison;
1985;

%Hollig86a
% carl
\rhl{H}
\refP H\"ollig, Klaus;
Geometric continuity of spline curves and surfaces;
\Siggrapheisi; 24 pages;

%Hollig86b
% larry
\rhl{H}
\refP H\"ollig,  K.;
Box splines;
\TexasV; 71--95;

%Hollig86c
% carl, shayne 23may95
\rhl{H}
\refP H\"ollig, K.;
Multivariate splines;
\Neworleans; 103--127;

%Hollig88a
\rhl{H}
\refJ H\"ollig,  K.;
Algorithms for rational spline curves;
ARO-Report; 88--1; 1988; 287--300;

%Hollig89a
% larry
\rhl{H}
\refP H\"ollig,  K.;
Box-spline surfaces;
\Oslo; 385--402;

%HolligApprichStreit03
% Klaus Hollig 23jun03
\rhl{}
\refJ H\"ollig, K., Apprich, C., Streit, A.;
Introduction to the WEB-Method and its Applications;
\AiCM; xx; 2003; submitted;

%HolligHornerKopf02
% Klaus Hollig 23jun03
\rhl{}
\refQ H\"ollig, K., H\"orner, J., Kopf, A.;
Web-Spline Methods in Linear Elasticity;
(Curve and Surface Fitting. Proceedings of the Fifth International Conference
on
 Curves and Surfaces: Saint-Malo 2002), ? (eds.),
Nashboro Press (Nashville, TN); 2002; 1--10;
% \StmaloII?

%HolligKoch95a
% carl 05feb96
\rhl{H}
\refJ H\"ollig, K., Koch, J.;
Geometric Hermite interpolation;
\CAGD; 12; 1995; 567--580;
% parametric piecewise cubic Hermite interpolation (with interpolation at a 
% suitable additional point in each piece) to a space (3d) curve, giving optimal
% order approximation, namely $O(h^5)$.

%HolligKoch96a
% . 29apr97
\rhl{H}
\refJ H\"ollig, K., Koch, J.;
Geometric Hermite interpolation with maximal order and smoothness;
\CAGD; 13; 1996; 681--695;
% parametric piecewise quadratic Hermite interpolation (with a
% suitable additional double knot between data points) to a planar curve, giving
% optimal order approximation, namely $O(h^4)$.

%HolligKreiss99a
\rhl{H}
\refJ H\"ollig,  K., Kreiss, H.-O.;
$C^-\infty$-Regularity for the Porous Medium Equation;
\MZ;
xxx;
xxx;
xxx;

%HolligKreiss99b
\rhl{H}
\refJ H\"ollig,  K., Kreiss, H.-O.;
A Priori Estimates for the Multivariate Porous Medium Equation;
xxx;
xxx;
xxx;
xxx;

%HolligMarsdenRiemenschneider89
\rhl{H}
\refJ H\"ollig,  K., Marsden, M. J., Riemenschneider, S. D.;
Bivariate cardinal interpolation on the 3-direction mesh: $\ell^p$-data;
\RMJM; 19; 1989; 189--198;

%HolligMicchelli87
% greg, shayne 23may95
\rhl{H}
\refJ H\"ollig, K., Micchelli, C. A.;
Divided differences, hyperbolic equations, and lifting distributions;
\CA; 3; 1987; 143--156;
% More on lifting, multivariate polynomial interpolation and the inverting the
% Radon transform

%HolligMogerle90a
% greg
\rhl{H}
\refJ H\"ollig,  K., M\"ogerle, H.;
G-splines;
\CAGD; 7; 1990; 197--207;

%HolligReif03
% Klaus Hollig 23jun03
\rhl{}
\refJ H\"ollig, K., Reif, U.;
Nonuniform WEB-Splines;
\CAGD; ?; 2003; submitted;

%HolligReifWipper01a
% Klaus H"ollig 23jun03
\rhl{}
\refJ H\"ollig, K., Reif, U., Wipper, J.;
Weighted extended B-spline approximation of Dirichlet problems;
\SJNA; 39(2); 2001; 442--462;
% Preprint 2000-8, Mathem.\ Inst.\ A, Universit\"at (Stuttgart): 2000:
% mesh-less approximation based on uniform tensor-product B-splines extended
% to remain stable when restricted to a given domain and multiplied by a
% suitable weight function to enforce vanishing on the boundary.
% =: web-space

%HolligReifWipper01b
% Klaus Hollig 23jun03
\rhl{}
\refP H\"ollig, K., Reif, U., Wipper, J.;
Error Estimates for the web-Method;
\OsloII; 195--209;

%HolligReifWipper01c
% Klaus Hollig 23jun03
\rhl{}
\refR H\"ollig, K., Reif, U., Wipper, J.;
B-Spline approximation of Neumann problems;
Preprint 2001-2, Mathematisches Institut A, Universit\"at Stuttgart; 2001;

%HolligReifWipper02
% Klaus Hollig 23jun03
\rhl{}
\refJ H\"ollig, K., Reif, U., Wipper, J.;
Multigrid methods with web-splines;
Numer.{} Math.; 91; 2002; 237--256;
% Meshless weighted finite element methods, 
% convergence proof, implementation.

%Holmes70
% kersey 20jun97
\rhl{H}
\refB  Holmes, R. B.;
A Course on Optimization and Best Approximation;
Springer--Verlag (New York);  1970;

%Holmes75
% kersey 20jun97
\rhl{H}
\refB  Holmes, R. B.;
Geometric Functional Analysis and its Applications;
Springer--Verlag (New York);  1975;

%HolroydBhattacharyya55
%
\rhl{H}
\refR Holroyd,  M. T., Bhattacharyya, B. K.;
Automatic contouring of geophysical data using
   bicubic spline interpolation;
Rpt.\ 70--55; Geol.\ Survey Canada; 1955;

%HongD87
% author
\rhl{H}
\refD Hong,  Dong;
On bivariate spline spaces over arbitrary triangulation;
Master's, Zhejiang Univ.\ (Hanzhou, China); 1987;

%HongD91
% peter
\rhl{H}
\refJ Hong,  Dong;
Spaces of bivariate spline functions over triangulation;
\JATA; 7; 1991; 56--75;

%HongD93a
% carl
\rhl{H}
\refD Hong,  Dong;
Construction of stable local spline bases over arbitrary triangulations for
   optimal order approximation;
Ph.D., Texas A\&M University (College Station TX); 1993;

%HongD95a
% carl 19nov95
\rhl{H}
\refJ Hong,  Dong;
A new formulation of Bernstein-B\'ezier based smoothness conditions for pp
   functions;
% ms,  Texas A \& M Univ., March: 1993:
\JATA; 11(2); 1995; 67--75;

%HongD95b
% Hong Dong 12mar97
\rhl{H}
\refP Hong, Dong;
Optimal triangulations for the best $C^1$ quartic spline approximation;
\TexasVIIIa; 249--256;

%HongDLiuHW00
% Huan-Wen Liu 11jan02 21jan02
\rhl{H}
\refJ Hong, D., Liu, Huan-Wen;
Some new formulation of smoothness conditions and conformality conditions 
   for bivariate cubic splines;
Computers Math.\ Appl.; 40; 2000; 117--125;

%HongDSchumaker04
% larry Lai-Schumaker book
\rhl{HonS04}
\refJ Hong, D., Schumaker, L. L.;
Surface compression using a space of $C^1$ cubic splines with
   a hierarchical basis;
\C;  72; 2004; 79--92;

%HongLiuHWMohapatra98
% larry 10sep99
\rhl{}
\rhl{H}
\refP Hong, C., Liu, Huan-Wen, Mohapatra, R.;
Optimal triangulations and smoothness conditions for bivariate splines;
\TexasIXc; 129--136;

%Hook84
\rhl{H}
\refR Hook, Tim van;
Advanced techniques for solid modeling: Working towards more realistic
   images;
Comp.\ Graph.\ World; 1984;

%Hopf26
% carlrefs 16aug02
\rhl{H}
\refD Hopf, Eberhard;
\"Uber die Zusammenh\"ange zwischen gewissen h\"oheren 
   Diffe\-renzen\-quo\-tienten reeller Funktionen einer reellen Variablen und
   deren Diffe\-renzier\-bar\-keits\-eigen\-schaften;
Universit\"at Berlin (30 pp); 1926;
% Connections between the divided differences of a function and those of its
% first derivative. Necessary and sufficient conditions on a function for its 
% divided differences of a given order to be above (below) a given number.
% Start of n-convexity.

%HopfieldTank85
\rhl{H}
\refJ Hopfield,  J. J., Tank, D. W.;
Neural computation of decisions in optimisation problems; 
{Biological Cybernetics};  52; 1985; 141;

%Hormander58
\rhl{H}
\refJ H\"ormander,  L.;
On the division of distributions by polynomials;
\AfM; 54(3); 1958; 555--568;
% math review gives \vl as 3.
% Lojasiewicz59. Whitney's Extension theorem

%HormannGreiner00
% larry 20apr00
\rhl{}
\refP Hormann, Kai, Greiner, G\"unther;
Mips: an efficient global parametrization method;
\Stmalod; 153--162;

%Horn83
\rhl{H}
\refJ Horn,  B. K.;
The curve of least energy;
\ACMTMS; 9; 1983; 441--460;
% elastica

%HornJohnson85
% shayne 16aug02
\rhl{}
\refB Horn, R. A., Johnson, C. R.;
Matrix analysis;
Cambridge University Press (Cambridge); 1985;
% standard reference

%HornikStinchcombeWhite89
\rhl{H}
\refJ Hornik,  K., Stinchcombe, M., White, H.;
Multilayer feedforward networks are universal approximators; 
{Neural Networks}; 2; 1989; 359--366;

%Hornung78
\rhl{H}
\refP Hornung,  U.;
Monotone spline interpolation;
\NmatIV; 172--191;

%Hornung79
\rhl{H}
\refJ Hornung,  U.;
Numerische Berechnung monotoner und Spline
   Interpolierender;
\ZAMM; 59; 1979;  64--65;

%Hornung80
% sonya
\rhl{H}
\refJ Hornung,  U.;
Interpolation by smooth functions under restriction on the
   derivatives;
\JAT; 28; 1980; 227--237;
% first to point out that such a smoothest interpolant is necessarily a
% spline with knots at the data sites but perhaps also at other sites.

%HornungLellekRehwaldStrasser85
% greg
\rhl{H}
\refJ Hornung,  C., Lellek, W., Rehwald, P., Strasser, W.;
An area-oriented analytical visibility method for displaying
   parametrically defined tensor-product surfaces;
\CAGD; 2; 1985; 197--205;

%HorschJuttler98
% . 02feb01
\rhl{}
\refJ Horsch, T., J\"uttler, B.;
Cartesian spline interpolation for industrial robots;
\CAD; 30(3); 1998; 207--224;
% nurbs

%HorsleyParkerPrice68
% larry
\rhl{H}
\refJ Horsley,  A., Parker, J. B., Price, J. A.;
Curve fitting and statistical techniques for
   use in the mechanized evaluation of neutron cross sections;
Nuclear Instruments and Methods; 62; 1968; 29--42;

%HorvatRogina02
% Mladen Rogina 08apr04
\rhl{}
\refJ Horvat, V., Rogina, M.;
Tension spline collocation methods for singularly perturbed Volterra 
   integro-differential and Volterra integral equations;
\JCAM; 140; 2002; 381--402;

%Horvath93
% carl
\rhl{H}
\refJ Horv\'ath,  Lajos;
Asymptotics for global measures of accuracy of splines;
\JAT; 73(3); 1993; 270--287;

%Hosaka69
% larry
\rhl{H}
\refJ Hosaka,  M.;
Theory of curve and surface synthesis and their smooth fitting;
Information Processing in Japan; 9; 1969; 60--68;

%HosakaKimura78
\rhl{H}
\refQ Hosaka,  M., Kimura, F.;
Synthesis Methods of Curves and Surfaces in Interactive CAD;
(Proceedings:  Interactive Techniques in Computer Aided Design, Bologna),
xxx (ed.), xxx (xxx); 1978; 151--156;

%HosakaKimura84
% greg
\rhl{H}
\refJ Hosaka,  M., Kimura, F.;
Non-four-sided patch expressions with control points;
\CAGD; 1; 1984; 75--86;

%HoscheckSchneider99
\rhl{H}
\refR Hoscheck, J., Schneider, F.-J.;
Spline approximation of offset curves and offset surfaces;
xx; xx;

%Hoschek85a
% carl
\rhl{H}
\refJ Hoschek, Josef;
Offset curves in the plane;
\CAD; 17(2); 1985; 77--82;
% 33--40?
% cusps, self-intersection points, intersection algorithms.

%Hoschek87
% greg
\rhl{H}
\refJ Hoschek,  J.;
Approximate conversion of spline curves;
\CAGD; 4; 1987; 59--66;

%Hoschek88
% carl
\rhl{H}
\refJ Hoschek,  J.;
Spline approximation of offset curves;
\CAGD; 5; 1988; 33--40;

%Hoschek88b
% . 14may99
\rhl{H}
\refJ Hoschek, J.;
Intrinsic parametrization for approximation;
CAGD; 5; 1988;  27--31;

%Hoschek90
% carl
\rhl{H}
\refP Hoschek,  J.;
Exact and approximate conversion of spline curves and spline surfaces;
\Teneriffe; 73--116;

%Hoschek92
% . 08apr04
\rhl{}
\refJ Hoschek, J.;
Circular splines;
\CAD; 24(11); 1992; 611--618;
arc spline, biarc

%Hoschek93
% .
\rhl{H}
\refB Hoschek (ed.), Josef;
Was CAD-Systeme wirklich k\"onnen;
B.G. Teubner (Stuttgart, Germany); 1993;

%HoschekLasser89
% carl
\rhl{H}
\refB Hoschek, J., Lasser, D.;
Grundlagen der geometrischen Datenverarbeitung;
B. G. Teubner (Stuttgart); 1989;
% Engl transl: HoschekLasser93

%HoschekLasser93a
% . 20feb96
\rhl{H}
\refB Hoschek,  J., Lasser, D.;
Fundamentals of Computer Aided Geometric Design;
A. K. Peters (Boston MA); 1993;
% transl of HoschekLasser89

%HoschekSchneider94
% larry
\rhl{H}
\refP Hoschek, J., Schneider, F.-J.;
Approximate conversion and data compression of integral and
   rational B-spline surfaces;
\ChamonixIIa; 241--250;

%HoschekSchneider97
% larry 10sep99
\rhl{HS}
\rhl{H}
\refP Hoschek, J., Schneider, M.;
Interpolation and approximation with developable surfaces;
\ChamonixIIIa; 185--202;

%HoschekSchneiderWassum89
% kersey
\rhl{H}
\refJ Hoschek,  J., Schneider, F.-J., Wassum, P.;
Optimal approximate conversion of spline surfaces;
\CAGD; 6(4); 1989; 293--306;

%HoschekSeemann92a
% .
\rhl{H}
\refJ Hoschek,  J., Seemann, G.;
Spherical splines;
Math.\ Methods and Num.\ Anal.; 26; 1992; 1--22;

%HoschekWissel88a
% carl
\rhl{H}
\refJ Hoschek, J., Wissel, N.;
Optimal approximate conversion of spline curves and spline
   approximation of offset curves;
\CAD; 20(8); 1988; 475--483;
% computer-aided geometric design, algorithms, parametrization, geometric 
% continuity.

%Hoskins70
% larry
\rhl{H}
\refJ Hoskins,  W. D.;
Algorithm 62:  Interpolating quintic splines on equidistant knots;
\CJ; 13; 1970; 437--438;

%Hoskins70b
\rhl{H}
\refJ Hoskins,  W. D.;
Improved explicit error bounds for periodic quintic splines;
Sci.\ Rpt.; 8; 1970; XX;

%Hoskins70c
\rhl{H}
\refR Hoskins,  W. D.;
Cubic spline solutions to fourth order boundary-value problems;
Manitoba; 1970;

%Hoskins71
% larry, carl
\rhl{H}
\refJ Hoskins, W. D.;
Table for third-degree spline interpolation using equi-spaced knots;
\MC; 25(116); 1971; 797--801;
% natural cubic spline interpolation, smoothest interpolating function.

%Hoskins73
% carl
\rhl{H}
\refJ Hoskins, W. D.;
Boundary expansions for spline interpolation;
\MC; 27(124); 1973; 829--830;
% multipoint expansions.

%HoskinsKing72
\rhl{H}
\refJ Hoskins,  W. D., King, P. R.;
Algorithm 73.  Periodic cubic spline interpolation using parametric splines;
\CJ; 15; 1972;	282--283;

%HoskinsKingAndres72
\rhl{H}
\refJ Hoskins,  W. D., King, P. R., Andres, T. H.;
Interpolation using periodic splines of odd
   order with equi-distant knots;
\CJ; 15; 1972; 283--285;

%HoskinsMeek71
% sherm, editor update
\rhl{H}
\refQ Hoskins,  W. D., Meek, D. S.;
Perturbation analysis applied to bicubic splines;
(Proc.\ Manitoba Conf.\ Numer.\ Maths),
R. S. D. Thomas and H. C. Williams (eds.),
Utilitas Mathematica Publishing Inc.\ (Winnipeg); 1971; 505--520;

%HoskinsMeek73
\rhl{H}
\refJ Hoskins,  W. D., Meek, D. S.;
Successive polynomial spline functions approximation;
\BIT; 13; 1973;  401--407;

%HoskinsMeek75
\rhl{H}
\refJ Hoskins,  W. D., Meek, D. S.;
Improved estimates for successive polynomial approximation;
Utilitas Math.; 7; 1975;  25--32;

%HoskinsMeek75b
% larry
\rhl{H}
\refJ Hoskins,  W. D., Meek, D. S.;
Linear dependence relations for polynomial splines at midknots;
\BIT; 15; 1975; 272--276;

%HoskinsMeek99
\rhl{H}
\refR Hoskins,  W. D., Meek, D. S.;
Iterative solution of equations defining
   odd-degree polynomial splines with equi-spaced knots;
XX; 19xx;

%HoskinsPonzo72
% larry
\rhl{H}
\refJ Hoskins,  W. D., Ponzo, P. J.;
Explicit calculation of interpolating cubic
   splines on equidistant knots;
\BIT; 12; 1972;  54--62;

%HoskinsPonzo74
\rhl{H}
\refJ Hoskins,  W. D., Ponzo, P. J.;
Some approximation properties of
   periodic cubic splines;
BIT;  14; 1974; 152--155;

%HoskinsTurner71
\rhl{H}
\refR Hoskins,  W. D., Turner, R. P.;
Periodic spline interpolation on the IBM 360;
Rept.\  Comp.\  Sci.\  Univ.\  Winnipeg; 1971;

%HouAndrews77
\rhl{H}
\refJ Hou,  H. S., Andrews, H. C.;
Least squares image restoration using spline basis functions;
IEEE Trans.\ Computers; 26; 1977; 856--873;

%HouAndrews78
\rhl{H}
\refJ Hou,  H. S., Andrews, H. C.;
Cubic splines for image interpolation and digital filtering;
\ITPASSP; 17; 1978; 508--517;

%HoughtonEmnettFactorSabharwal85
% greg
\rhl{H}
\refJ Houghton,  E., Emnett, R., Factor, J, Sabharwal, C.;
Implementation of a divide-and-conquer method for intersection of
   parametric surfaces;
\CAGD; 2; 1985; 173--183;

%Houng99
\rhl{H}
\refD Houng,  ???.;
Least squares splines;
U.Wisconsin-Madison; 19XX;

%HoustisChristaraRice88
% Christina Christara 02feb01
\rhl{}
\refJ Houstis, E. N., Christara, C. C., Rice, J. R.;
Quadratic spline collocation methods for two point boundary value problems;
\IJNME; 26(4); 1988; 935--952;

%HoustisVavalisRice88
% . 23jun03
\rhl{}
\refJ Houstis, E. N., Vavalis, E. A., Rice, J. R.;
Convergence of $O(h^4)$ cubic spline collocation methods for elliptic partial
   differential equations;
\SJNA; 25; 1988; 54--74;

%Howell91
% . 26sep02
\rhl{H}
\refJ Howell, G. W.;
Derivative error bounds for Lagrange interpolation;
\JAT; 67; 1991; 164--173;

%Howell94a
% 26oct95
\rhl{H}
\refQ Howell, G.;
Generalisations of the Cauchy remainder;
(Open Problems in Approximation Theory), xxx (ed.),
Science Culture Technology Publ.{} (Singapore); 1994; 91--98;

%HowellFausettFausett
% greg
\rhl{H}
\refJ Howell,  G. W., Fausett, D., Fausett, L.;
Linear deformations of circular splines: a convexity preserving algorithm;
\CAGD; 4; xxx; xxx;

%HowellVarma83
% shayne 19nov95
\rhl{H}
\refJ Howell, G., Varma, A. K.;
Best error bounds for derivatives in two point Birkhoff interpolation
   problems;
\JAT; 38; 1983; 258--268;

%HowellVarma89a
\rhl{H}
\refJ Howell, Gary, Varma, A. K.;
Best error bounds for quartic spline interpolation;
\JAT; 58; 1989; 58--67;

%HowellVarma90
\rhl{H}
\refR Howell,  G., Varma, A. K.;
Birkhoff interpolation by splines;
Univ.\ of Florida; xxx;

%Hu82
% larry
\rhl{H}
\refR Hu,  C. L.;
Some practical aspects of multivariate spline functions;
Master thesis, Penang; 1982;

%HuL82
\rhl{H}
\refR Hu,  C. L., Lee, S. L.;
Multivariate B-splines and the joint distributions of the circular serial
   correlation coefficients;
Penang; 1982;

%HuLeviatanYu94
% carl
\rhl{H}
\refJ Hu,  Yingkang, Leviatan, Dany, Yu, Xiang Ming;
Convex polynomial and spline approximation in $C[-1,1]$;
\CA; 10(1); 1994; 31--64;

%HuLeviatanYu95a
% carl
\rhl{H}
\refJ Hu, Yingkang, Leviatan, Dany, Yu, Xiang Ming;
Copositive polynomial and spline approximation;
\JAT; 80(2); 1995; 204--218;

%HuSM96
% larry Lai-Schumaker book
\rhl{Hu96}
\refJ Hu, S. M.;
Conversion of a triangulated B\'ezier patch into three rectangular B\'ezier
patches;
\CAGD; 13; 1996; 219--226;

%HuSMTaiCL02
% .
\rhl{}
\refJ Hu, Shi-Min, Tai, Chiew-Lan;
An extension algorithm for B-splines by curve unclamping;
\CAD; 24; 2002; 415--419;

%HuSchumaker85
% larry
\rhl{H}
\refP Hu,  C. L., Schumaker, L. L.;
Bivariate natural spline smoothing;
\Meinardus; 165--179;

%HuSchumaker86
% larry
\rhl{H}
\refJ Hu,  C. L., Schumaker, L. L.;
Complete spline smoothing;
\NM; 49; 1986; 1--10;

%HuY93
% carl
\rhl{H}
\refJ Hu,  Yingkang;
Convex approximation by quadratic splines;
\JAT; 74(1); 1993; 69--82;

%HuYKKopotunYuXM00
% author 02feb01
\rhl{}
\refJ Hu, Y. K.; Kopotun, K. A., Yu, X. M.;
On multivariate adaptive approximation;
\CA; 16; 2000; 449--474;
% split-and-merge adaptive approximation by pp's.

%HuangDR82
\rhl{H}
\refJ Huang,  D. R.;
A sufficient condition of monotone cubic splines (Chinese);
Math.\ Num.\ Sinica; 4; 1982; 214--217;

%HuangDR83
\rhl{H}
\refJ Huang,  D. R.;
Lacunary interpolation by quintic splines with non-equal mesh;
Math.\  Numer.\ Sinica; 5; 1983;	142--148;

%HuangDR83b
\rhl{H}
\refJ Huang,  D. R.;
The error expressions and the superconvergence
   of the cubic interpolation spline (Chinese);
Numer.\ Math.\  J.  Chinese Univ.; 5;	      1983;  179--184;

%HuangDRSha82
\rhl{H}
\refJ Huang,  D. R., Sha, Z.;
On mixed interpolating splines (Chinese);
Chinese Ann.\  Math.; 3; 1982;  233--240;

%HuangHC99
\rhl{H}
\refR Huang,  H. C.;
On stability of interpolation;
xx; 19xx;

%HuangYQ79
\rhl{H}
\refJ Huang,  Y. Q.;
Some remarks concerning smoothing splines (Chinese);
Numer.\ Math.\ J. Chinese Univ.; 1; 1979; 210--213;

%HuangYZ81
\rhl{H}
\refJ Huang,  Y. Z.;
Acceleration of convergence of quintic spline
   interpolate solutions (Chinese);
Zhejiang Daxue Xuebao; 2; 1981;  101--108;

%HuangYZLiuHW01
% Huan-Wen Liu 16jan02 21jan02
\rhl{H}
\refJ Huang, Y.-Z., Liu, Huan-Wen;
Lagrange interpolation of bivariate quadratic splines by 
   $S_2^{1,1}(\bigtriangleup_mn^{(2)})$ with boundary conditions;
Guangxi Sciences; 8; 2001; 262--265;

%Hudson66
\rhl{H}
\refJ Hudson,  D. R.;
Fitting segmented curves whose joint points have to be estimated;
J.  Amer.\  Stat.\  Assoc.; 61; 1966;  1097--1129;

%HuffBatsell76
\rhl{H}
\refR Huff,  D. L., Batsell, R. R.;
Delimiting the areal extent of a market area;
U. T.  Rept.; 1976;

%Hukuhara63a
% shayne 26oct95
\rhl{H}
\refJ Hukuhara, M.;
On the zeros of solutions of linear ordinary differential equations;
S\'ugaku; 15; 1963; 108--109;

%HullTaylor99
\rhl{H}
\refR Hull,  J. A., Taylor, G. D.;
Adaptive curve fitting;
xx; 19xx;

%Hulme68
% larry
\rhl{H}
\refJ Hulme,  B. L.;
Interpolation by Ritz approximation;
\JMM; 18; 1968; 337--342;

%Hulme69
% larry
\rhl{H}
\refD Hulme,  B. L.;
Piecewise bicubic methods for plate blending problems;
Harvard Univ.; 1969;

%Hulme71
\rhl{H}
\refR Hulme,  B. L.;
One-step piecewise polynomial Galerkin methods for initial-value problems;
Sandia; 1971;

%Hulme71b
% larry
\rhl{H}
\refJ Hulme,  B. L.;
Piecewise polynomial Taylor methods for initial value problems;
\NM; 17; 1971; 367--381;

%Hulme72
% sonya
\rhl{H}
\refJ Hulme,  B. L.;
A new bicubic interpolation over right triangles;
\JAT; 5; 1972; 66--73;

%Hummel83
\rhl{H}
\refJ Hummel,  R.;
Sampling for spline reconstructions;
\SJAM; 43; 1983;  278--288;

%Humphreys90a
% shayne 26oct95
\rhl{H}
\refB Humphreys, J. E.;
Reflection groups and Coxeter groups;
Cambridge University Presss (England); 1990;
% standard reference

%Hung69
\rhl{H}
\refR Hung,  H. S.;
Quadratic spline function approximation for solution of nonlinear
   boundary-value problems and its application to Hencky problem;
Wis.; 1969;

%Hung70
\rhl{H}
\refR Hung,  H. S.;
The numerical solution of differential and integral equations by spline
functions;
MRC 1053; 1970;

%HungSKasvand83
\rhl{H}
\refJ Hung,  S. H. Y., Kasvand, T.;
Critical points on a perfectly 8- or 6- connected thin binary line;
\PR; 16; 1983; 297--303;

%HutchinsonHoog85
% larry
\rhl{H}
\refJ Hutchinson,  M. F., Hoog, F. R. de;
Smoothing noisy data with spline functions;
\NM; 47; 1985; 99--106;

%Huynh93
% .
\rhl{H}
\refJ Huynh,  H. T.;
Accurate monotone cubic interpolation;
\SJNA; 30; 1993; 57--101;

%Hyman83
\rhl{H}
\refJ Hyman,  J. M.;
Accurate monotonicity preserving cubic interpolation;
\SJSSC; 4; 1983; 645--654;