Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes

被引：24
|
作者：
Levin, D [1 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, Ramat Aviv, Israel
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 1999年 / 11卷 / 01期
关键词：
Subdivision Scheme; Laurent Series; Generate Polynomial; Tension Parameter; Uniform Case;
D O I：
10.1023/A:1018907522165
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Non-uniform binary linear subdivision schemes, with finite masks, over uniform grids, are studied. A Laurent polynomial representation is suggested and the basic operations required for smoothness analysis are presented. As an example it is shown that the interpolatory 4-point scheme is C(1) with an almost arbitrary non-uniform choice of the free parameter.
引用
收藏
页码：41 / 54
页数：14
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