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

页码：41 / 54

页数：14

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