ON EXPLICIT BASIS OF BIVARIATE SPLINE SPACE  

作　　者：Baocai Yin Wen Gao, Beijing Polytechnic University, ChinaHarbin Institute of Technology, China Department of Computer Science Beijing Polytechnic University Beijing, 100022 PRC Department of Computer Science Harbin Institute of Technology Harbin, 150001 PRC 

出　　处：《Analysis in Theory and Applications》1998年第4期53-65,共13页分析理论与应用（英文刊）

基　　金：The Project is partly supported by the Science ; Technology New Star Plan of Beijing ; Education Committee of Beijing

摘　　要：For a subdivision △ of a region in d-dimensional Euclidean space. we consider computation of dimension and of basis function in spline space S(△)consisting of all C(?)piecewise Polynomial func- tions over△of degree at most k. A computational scheme is presented for computing the dimension and bases of spline space S(?)(△).This scheme based On the Grobner basis algorithm and the smooth co-factor method for computing multivariate spline. For bivariate splines, explicit basis functions of S(△)age obtained for any integer k and r when△is a cross-cut partition.For a subdivision △ of a region in d-dimensional Euclidean space. we consider computation of dimension and of basis function in spline space S(△)consisting of all C(?)piecewise Polynomial func- tions over△of degree at most k. A computational scheme is presented for computing the dimension and bases of spline space S(?)(△).This scheme based On the Grobner basis algorithm and the smooth co-factor method for computing multivariate spline. For bivariate splines, explicit basis functions of S(△)age obtained for any integer k and r when△is a cross-cut partition.

关 键 词：APPI ON EXPLICIT BASIS OF BIVARIATE SPLINE SPACE MATH 

分 类 号：O174[理学—数学]