Interpolation by Multivariate Splines

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1988Publisher:JSTORJournal:Mathematics of Computation, volume 51, page 203 (issn: 0025-5718,

Copyright policy )

Authors: Chui, Charles K.; Diamond, Harvey; Raphael, Louise A.;

doi: 10.2307/2008586 , 10.1090/s0025-5718-1988-0942150-x

Interpolation by Multivariate Splines

- Summary
- Subjects
- Metrics

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.

Keywords

local optimal order of approximation, Spline approximation, multivariate splines, Algorithms for approximation of functions, interpolation scheme, Multidimensional problems, numerical implementation, Interpolation in approximation theory

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	14
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%