@inbook{f6fbd2600f6e471582cd014be93ca5b3,
title = "Local RBF approximation for scattered data fitting with bivariate splines",
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.",
keywords = "scattered data fitting, bivariate splines, constructive approximation",
author = "O. Davydov and A. Sestini and R. Morandi",
year = "2005",
doi = "10.1007/3-7643-7356-3_8",
language = "English",
isbn = "3764371242",
volume = "151",
series = "International Series of Numerical Mathematics",
publisher = "Birkh{\"a}user (Springer)",
pages = "91--102",
editor = "Mache, {Detlef H. } and Szabados, {J{\'o}zsef } and {de Bruin}, {Marcel G. }",
booktitle = "Trends and Applications in Constructive Approximation",
}