papers on radial basis function approximations 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.
TPS_val.pdf
The role of inner summaries in the fast evaluation of thin-plate splines;
Michael J. Johnson
november 2011
has appeared:
\AiCM; 39(1); 2013; 1--25;
TPS_val.tar.gz
Matlab and C programs for the fast evaluation of thin-plate splines;
Michael J. Johnson
november 2011
\AiCM; 39(1); 2013; 1--25;
Lspline_rbf.pdf
Compactly supported piecewise polyharmonic radial functions with prescribed regularity;
Michael J. Johnson
october 2011
\CA 35(2); 2012; 201--223;
hangron: ps ps.Z
ps.gz pdf
Nonlinear Approximation Using Gaussian Kernels;
Thomas Hangelbroek and Amos Ron
2010
appeared in:
JFA; xx(x); 2010; xxx--xxx;
sym_col_fast.pdf
A symmetric collocation method with fast evaluation;
Michael Johnson
2008
appeared in
IMAJNA; 29(3); 2009; 773--789;
ard: ps ps.Z
ps.gz pdf
Approximation using scattered shifts of a multivariate function;
Ronald DeVore and Amos Ron
feb 2008
TAMS; xx(x); 2010; xxx-xxx;
TPSerror: ps ps.Z
ps.gz pdf
Error estimates for thin plate spline approximation in the disc;
Thomas Hangelbroek
december 2006
unstable.pdf
A note on the limited stability of surface spline interpolation;
Michael Johnson
2005
has appeared
\JAT; 141(2); 2006; 182--188;
radpol: ps ps.Z
ps.gz pdf
On interpolation by radial polynomials
Carl de Boor
dec 2003
as of 21jul04/23feb04
\AiCM; 24; 2006; 143--153;
rbf_err_anal: ps ps.Z
ps.gz pdf
An error analysis for radial basis function interpolation
Michael J. Johnson
jan 2003
has appeared
\NM; 98; 2004; 675--694;
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
apr 2002
\CA; 20(2); 2004; 133--167;
interpolatepsi: ps ps.Z
ps.gz pdf
Scattered data interpolation from principal shift-invariant spaces
Michael J. Johnson
feb 2000
\JAT; 113; 2001; 172--188;
compact: ps ps.Z
ps.gz pdf
On the error in surface spline interpolation of a compactly supported function
Michael J. Johnson
sep 1998, dec 1998
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
nov 1998
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;
perturb: ps ps.Z
ps.gz pdf
Approximation in $L_p(\Rd)$ from spaces spanned by the perturbed integer translates of a radial basis function
Michael J. Johnson
May 1995
\JAT; 107(2); 2000; 163--203;
scattered: ps ps.Z
ps.gz pdf
Radial basis function approximation: from gridded centers to scattered centers
Nira Dyn and Amos Ron
November 1993
appeared in Proc. London Math. Soc. (1995)
\PLMS; 71(3); 1995; 76--108;
aoradial: ps ps.Z
ps.gz pdf
The $L_2$-Approximation Orders of Principal Shift-Invariant Spaces Generated by a Radial Basis Function
Amos Ron
March 1992
has appeared in \Nmatnion; 245--268;
djlr: ps ps.Z
ps.gz pdf
On multivariate approximation by integer translates of a basis function
N. Dyn, I.R.H. Jackson, D. Levin and A. Ron
Nov. 1989
has appeared in
Israel Journal of Mathematics {\bf 78} (1992), 95--130.