B-splines on 3-D tetrahedron partition in four-directional mesh |
| |
Authors: | SUN Jiachang SHI Xiquan |
| |
Institution: | 1. Parallel Computing Division and Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, 2. Department of Applied Mathematics, University of Dalian, |
| |
Abstract: | It is more difficult to construct 3-D splines than in 2-D case. Some results in the three directional meshes of bivariate
case have been extended to 3-D case and corresponding tetrahedron partition has been constructed. The support of related B-splines
and their recurrent formulas on integration and differentiation-difference are obtained. The results of this paper can be
extended into higher dimension spaces, and can be also used in wavelet analysis, because of the relationship between spline
and wavelets. |
| |
Keywords: | high dimensional splines box splines tetrahedron partition |
本文献已被 万方数据 SpringerLink 等数据库收录! |
|