基于积分方法的二元B样条多尺度细分

基于积分方法的二元B样条多尺度细分

韩力文　伍铁如

吉林大学数学研究所,长春,130012

收稿日期:2002-09-25 修回日期:1900-01-01 出版日期:2002-10-26
通讯作者: 韩力文

Multiresolution Subdivision of Bivariate B-Splines Based on Integral Method

HAN Li-wen , WU Tie-ru

Institute of Mathematics , Jilin University , Changchun 130012 , China

Received:2002-09-25 Revised:1900-01-01 Online:2002-10-26
Contact: HAN Li-wen

摘要/Abstract

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.

关键词: 二元B样条, 方向积分, 加细方程

Abstract: 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.

Key words: bivariate B-spline, directional integration, refinement equation

中图分类号:

O241.5

韩力文　伍铁如. 基于积分方法的二元B样条多尺度细分[J]. J4, 2002, 40(04): 358-360.

HAN Li-wen , WU Tie-ru. Multiresolution Subdivision of Bivariate B-Splines Based on Integral Method[J]. J4, 2002, 40(04): 358-360.

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[3]	赫泉龄, 关玉景. 方向积分与多元非张量积小波的构造[J]. J4, 2004, 42(01): 11-15.