On interpolatory subdivision from approximating subdivision scheme

被引：13
|
作者：
Luo, Zhongxuan [1 ,2 ]
Qi, Wanfeng [2 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Dalian Univ Technol, Sch Software Technol, Dalian 116620, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 220卷
关键词：
Approximating subdivision; Interpolatory subdivision; Subdivision mask; Polynomial reproduction; Polynomial generation; SPLINES;
D O I：
10.1016/j.amc.2013.06.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with some theoretical analysis of one strategy for deducing interpolatory from approximating subdivision scheme. First, we derive the explicit formula for one class of interpolatory subdivision schemes deduced from approximating subdivision schemes. This explicit formula paves a way for systematic analysis of interpolatory subdivisions derived by the strategy. We analyze the polynomial generation property of interpolatory subdivision derived by the strategy. Moreover, the explicit formula also has the merit of providing a method for designing new interpolatory and approximating subdivisions, and some new subdivision schemes are constructed. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：339 / 349
页数：11
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