papers on multivariate splines at ftp.cs.wisc.edu/Approx
These files can be obtained by anonymous
from ftp.cs.wisc.edu/Approx.
The files are postscript, and are also available as compress(ed)
files, as indicated by the subscript .Z,
to be uncompress(ed) before using,
as well as as (shorter) gzip(ed) files, as indicated by the subscript
.gz, to be extracted by gzip -d .
The files are now also available in pdf. For those from before '98,
these pdf files might not look very good in an acrobat reader, but will
print just fine.
If you have trouble because of file contamination, specify binary as your first command in ftp.
The files are in order of increasing age.
dahmen.: ps ps.Z
ps.gz pdf
The way things were in multivariate splines: A personal view;
Carl de Boor
apr09
in Multiscale, Nonlinear and Adaptive Approximation, R. DeVore and A. Kunoth
(eds.), Springer Verlag (Berlin-Heidelberg, Germany); 2009; 19--37;
boxsubdv.: ps ps.Z
ps.gz pdf
Box splines revisited: convergence and acceleration methods for the subdivision and the cascade algorithms;
Carl de Boor and Amos Ron
dec06
\JAT; 150(1); 2008; 1--23;
TPSerror.: ps ps.Z
ps.gz pdf
Error estimates for thin plate spline approximation in the disc;
Thomas Hangelbroek
dec06
Lp_order_SSI.: ps ps.Z
ps.gz pdf
The $L_p$ approximation order of surface spline interpolation for $1\le p \le 2$
Michael J. Johnson
\CA; 20(2); 2004; 133--167;
apr02
ssiorder.: ps ps.Z
ps.gz pdf
The $L_2$-approximation order of surface spline interpolation
Michael J. Johnson
jun99
Math. Comp. 70, 719--737 (2001)
compact.: ps ps.Z
ps.gz pdf
On the error in surface spline interpolation of a compactly supported function
Michael J. Johnson
sep98, dec98
Kuwait J. Sci. Eng. 28, 37--54 (2001)
overcome.: ps ps.Z
ps.gz pdf
Overcoming the boundary effects in surface spline interpolation
Michael J. Johnson
nov98
IMA J. Numer. Anal. 20, 405--422 (2000)
improved.: ps ps.Z
ps.gz pdf
An improved order of approximation for thin-plate spline interpolation in the unit disc
Michael Johnson
February 1998
has appeared in
\NM; 84(3); 2000; 451--474;
surfspli.: ps ps.Z
ps.gz pdf
A bound on the approximation order of surface splines
Michael Johnson
October 1997
\CA; 14; 1998; 429--438;
multpp.: ps ps.Z
ps.gz pdf
Multivariate piecewise polynomials,
Carl de Boor
October 1992
has appeared in Acta Numerica; 2; 1993; 65--109;
aobivar.: ps ps.Z
ps.gz pdf
A sharp upper bound on the approximation order of smooth bivariate pp functions
Carl de Boor and Rong-Qing Jia
March 1992
has appeared in J.Approx.Theory; 72(1); 1993; 24--33;
quasiaprx.: ps ps.Z
ps.gz pdf
Quasiinterpolants and approximation power of multivariate splines
Carl de Boor
July 1990
has appeared in
(Computations of curves and surfaces), Dahmen, Gasca, Micchelli
(eds.), Kluwer (Dordrecht, Netherlands); 1990; 313--345;
studia.: ps ps.Z
ps.gz pdf
A characterization of the approximation order of multivariate spline spaces
A. Ron
November 1989
has appeared in
Studia Mathematica {\bf 98(1)} (1991), 73--90.
polideal.: ps ps.Z
ps.gz pdf
Polynomial ideals and multivariate splines
Carl de Boor, Amos Ron
June 1989
has appeared in
(Multivariate Approximation Theory IV, ISNM 90),
C. Chui, W. Schempp, and K. Zeller (eds.),
Birk\-h\"auser Verlag (Basel); 1989; 31--40;
whatisspline.: ps ps.Z
ps.gz pdf
What is a multivariate spline?
Carl de Boor
August 1987
has appeared
(Proc.\ First Intern.\ Conf.\ Industr.\ Applied Math., Paris 1987), J.\
McKenna and R. Temam (eds.), SIAM (Philadelphia PA); 1988; 90--101;
birmingham.: ps ps.Z
ps.gz pdf
Multivariate Approximation
Carl de Boor
MRC 2950, August 1986
in (State of the Art in Numerical Analysis),
A. Iserles and M. Powell (eds.),
Institute Mathematics Applications (Essex); 1987; 87--109;
% 10mar09: some references, some notation (for pol.spaces, intervals, etc)
% updated; unfortunately, the picture files are lost.
birkhoff.pdf
Piecewise polynomial interpolation and approximation;
Garrett Birkhoff and Carl R. de Boor;
1965
VERY LONG FILE, 8.1Mb
has appeared in
\Generalmotors; 164--190;
bicubic.pdf
Bicubic spline interpolation;
Carl de Boor
1960
VERY LONG FILE, 4.8Mb
has appeared in
\JMP (J.Mathematics and Physics); 41(3); 1962; 212--218;