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

作　　者：孙家昶 施锡泉 

出　　处：《Science China Mathematics》2001年第4期491-496,共6页中国科学：数学（英文版）

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

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 Bsplines and their recurrent formulas on integration and differentiationdifference 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.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.

关 键 词：high dimensional splines box splines tetrahedron partition 

分 类 号：O241.5[理学—计算数学]