B-splines on 3-D tetrahedron partition in four-directional mesh

被引：1

作者：

Sun, JC ^{[1
]}

Shi, XQ

机构：

[1] Chinese Acad Sci, Parallel Comp Div, Inst Software, Beijing 100080, Peoples R China

[2] Chinese Acad Sci, Inst Software, Comp Sci Lab, Beijing 100080, Peoples R China

[3] Univ Dalian, Dept Appl Math, Dalian 116024, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2001年 / 44卷 / 04期

基金：

中国国家自然科学基金;

关键词：

high dimensional splines; box splines; tetrahedron partition;

D O I：

10.1007/BF02881886

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：491 / 496

页数：6

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