基于积分方法的二元B样条多尺度细分  

Multiresolution Subdivision of Bivariate B-Splines Based on Integral Method

作　　者：韩力文[1] 伍铁如[1] 

机构地区：[1]吉林大学数学研究所,长春130012

出　　处：《吉林大学学报（理学版）》2002年第4期358-360,共3页Journal of Jilin University:Science Edition

基　　金：国家973项目基金(批准号:G1998030600).

摘　　要：利用二元B样条的积分定义方法,构造其M(M≥2)尺度的加细方程.所得结果可概括现有的二元Box样条和最小支集的二元B样条的细分方法.The present paper deals with the bivariate Bspline functions with integral definition on uniform typeⅠ triangulation and typeⅡ triangulation, and obtain the Mband refinement equations for any integer M(M≥2). The result in this paper can sum up the subdivision of bivariate Box splines and bivariate Bsplines with the minimal support. Furthermore, our method is simple and easy to be generalized.

关 键 词：积分方法 多尺度细分 二元B样条 方向积分算子 加细方程 最小支集 

分 类 号：O241.5[理学—计算数学]