WEIGHTED THIN PLATE SPLINES-Reference-Cited by-同舟云学术

WEIGHTED THIN PLATE SPLINES

Published:2005-07 Issue:03 Volume:03 Page:297-324
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

BOUHAMIDI A.¹

Affiliation:

1. Université du Littoral, L.M.P.A Centre Universitaire de la Mi-Voix, BP 699, 50, rue F. Buisson, 62228, Calais-Cedex, France

Abstract

A widely known method in multivariate interpolation and approximation theory consists of the use of thin plate splines. In this paper, we investigate some results and properties relative to a wide variety of variational splines in some space of functions arising from a nonnegative weight function. This model includes thin plate splines, splines in tension and discusses smoothing and interpolating splines. Pointwise error estimates are given for both problems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530505000601

Reference25 articles.

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