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

被引：0

作者：

孙家昶

施锡泉

机构：

来源：

Science China Mathematics | 2001年 / 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：

暂无

中图分类号：

O241.5 [数值逼近];

学科分类号：

070102 ;

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

共 50 条

[1] B-splines on 3-D tetrahedron partition in four-directional mesh
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施锡泉
[J]. ScienceinChina,Ser.A., 2001, Ser.A.2001 (04) - 496
[2] B-splines on 3-D tetrahedron partition in four-directional mesh
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[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 44 (04): : 491 - 496
[3] B-splines on 3-D tetrahedron partition in four-directional mesh
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