Spline approximation of discontinuous multivariate functions from scattered data

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:131

Article

de Silanes, MCL ; Parra, MC ; Pasadas, M ; Torrens, JJ

关键词: discontinuous functions;    fitting method;    discrete smoothing D-m-splines;    local convergence;   

DOI  :  10.1016/S0377-0427(00)00268-5

来源: Elsevier

【 摘 要 】

The approximation of discontinuous multivariate functions from a set of scattered data points is usually a two-stage process: first, a detection algorithm is applied to localize the discontinuity sets, then the functions are reconstructed using a fitting method. In this paper we propose a new method for the second stage, based on the computation of discrete smoothing D-m-splines. We establish a result of local convergence of the approximations provided by the method. Finally, we give some numerical and graphical examples. (C) 2001 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free