Radial functions on compact support

被引：46

作者：

Buhmann, MD ^{[1
]}

机构：

[1] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1998年 / 41卷

关键词：

D O I：

10.1017/S0013091500019416

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, radial basis functions that are compactly supported and give rise to positive definite interpolation matrices for scattered data are discussed. They are related to the well-known thin plate spline radial functions which are highly useful in applications for gridfree approximation methods. Also, encouraging approximation results for the compactly supported radial functions are shown.

引用

页码：33 / 46

页数：14

共 19 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[2] SPECTRAL CONVERGENCE OF MULTIQUADRIC INTERPOLATION [J].