๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An error analysis for radial basis function interpolation

โœ Scribed by Michael J. Johnson

Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
228 KB
Volume
98
Category
Article
ISSN
0029-599X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On Power Functions and Error Estimates f
On Power Functions and Error Estimates for Radial Basis Function Interpolation
โœ Will Light; Henry Wayne ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 431 KB

This paper discusses approximation errors for interpolation in a variational setting which may be obtained from the analysis given by Golomb and Weinberger. We show how this analysis may be used to derive the power function estimate of the error as introduced by Schaback and Powell. A simple error t

Error Estimates for Interpolation by Com
Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree
โœ Holger Wendland ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 255 KB

We consider error estimates for interpolation by a special class of compactly supported radial basis functions. These functions consist of a univariate polynomial within their support and are of minimal degree depending on space dimension and smoothness. Their associated ``native'' Hilbert spaces ar

On Quasi-interpolation with Radial Basis
On Quasi-interpolation with Radial Basis Functions
โœ M.D. Buhmann ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 975 KB

It has been known since 1987 that quasi-interpolation with radial functions on the integer grid can be exact for certain order polynomials. If, however, we require that the basis functions of the quasi-interpolants be fimite linear combinations of translates of the radial functions, then this can be