Piecewise polynomial,positive definite and compactly supported radial functions of minimal degree |
| |
Authors: | Holger Wendland |
| |
Institution: | (1) Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Lotzestraße 16–18, D-37083 Göttingen, Germany |
| |
Abstract: | We construct a new class of positive definite and compactly supported radial functions which consist of a univariate polynomial within their support. For given smoothness and space dimension it is proved that they are of minimal degree and unique up to a constant factor. Finally, we establish connections between already known functions of this kind. |
| |
Keywords: | B-splines positive definite functions multivariate interpolation |
本文献已被 SpringerLink 等数据库收录! |