Interpolation by multivariate splines-Reference-Cited by-同舟云学术

Interpolation by multivariate splines

Published:1988 Issue:183 Volume:51 Page:203-218
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Chui Charles K.,Diamond Harvey,Raphael Louise A.

Abstract

A general interpolation scheme by multivariate splines at regular sample points is introduced. This scheme guarantees the local optimal order of approximation to sufficiently smooth data functions. A discussion on numerical implementation is included.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1988-51-183/S0025-5718-1988-0942150-X/S0025-5718-1988-0942150-X.pdf

Reference8 articles.

1. C. de Boor, The Polynomials in the Linear Span of Integer Translates of a Compactly Supported Function, MRC Report #2930, April 1986.

2. Bivariate cardinal interpolation by splines on a three-direction mesh;de Boor, Carl;Illinois J. Math.,1985

3. A natural formulation of quasi-interpolation by multivariate splines;Chui, Charles K.;Proc. Amer. Math. Soc.,1987

4. Cardinal interpolation by multivariate splines;Chui, C. K.;Math. Comp.,1987

5. Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 12;Schoenberg, I. J.,1973

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