Radial basis functions under tension
type: Item
instance of: scholarly article
title: Radial basis functions under tension
zbMATH Open document ID: 1051.65008
author: Alain Le Méhauté
author: A. Bouhamidi
published in: Journal of Approximation Theory
publication date: 2004-08-10T00:00:00Z
review text: Radial basis function interpolation is one of the prime methods for interpolation to scattered data in more than one dimension. Both for application and for the theory, so-called native spaces associated with the radial basis functions are very important. In this paper, such spaces are defined and studied for radial basis functions with parameters (``tension parameters''). Using these semi-Hilbert spaces, properties of the splines under tension are studied in depth, for example error estimates in uniform norm. Also, several numerical examples using such splines under tension are provided.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 2086002
zbMATH Keywords: radial basis functions
zbMATH Keywords: conditionally positive definite functions
zbMATH Keywords: splines under tension
zbMATH Keywords: multivariate interpolation
zbMATH Keywords: scattered data interpolation
zbMATH Keywords: error estimates
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.jat.2004.03.005
OpenAlex ID: W2079647362
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DOI: 10.1016/J.JAT.2004.03.005
description: scientific article; zbMATH DE number 2086002