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Local RBF approximation for scattered data fitting with bivariate splines

Davydov, O. and Sestini, A. and Morandi, R. (2005) Local RBF approximation for scattered data fitting with bivariate splines. In: Trends and Applications in Constructive Approximation. International Series of Numerical Mathematics, 151 . Birkhäuser (Springer), Berlin, Germany, pp. 91-102. ISBN 3-7643-7124-2

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Abstract

In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm. As an improvement to the pure polynomial local approximation method used in [5], a hybrid polynomial/radial basis scheme was considered in [4], where the local knot locations for the RBF terms were selected using a greedy knot insertion algorithm. In this paper standard radial local approximations based on interpolation or least squares are considered and a faster procedure is used for knot selection, signicantly reducing the computational cost of the method. Error analysis of the method and numerical results illustrating its performance are given.

Item type: Book Section
ID code: 2260
Keywords: scattered data fitting, bivariate splines, constructive approximation, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Strathprints Administrator
Date Deposited: 07 Dec 2006
Last modified: 24 Jul 2015 09:29
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/2260

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