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

作     者：孙家昶 施锡泉 

作者机构：Parallel Computing Division and Laboratory of Computer Science Institute of Software Chinese Academy of Sciences Beijing China Department of Applied Mathematics University of Dalian Dalian China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2001年第44卷第4期

页      面：491-496页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：This work was partly supported by the Major Basic Project of China (Grant No. G19990328) the National Natural Science Foundation of China (Grant No. 69883006) partly supported by NKBRSF (Grant No. G1998030600) the Doctoral Program Foundation of E 

主　　题：high dimensional splines box splines tetrahedron partition 

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 e xtended 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.