Fractal properties of the generalized Chaikin corner-cutting subdivision scheme

被引：10
|
作者：
Wang, Juan [1 ]
Zheng, Hongchan [1 ]
Xu, Feng [1 ]
Liu, Dekong [1 ]
机构：
[1] NW Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Subdivision scheme; Generalized Chaikin corner-cutting scheme; Limit points; Fractal properties;
D O I：
10.1016/j.camwa.2010.09.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze the fractal properties of the generalized Chaikin corner-cutting subdivision scheme with two arbitrary parameters. On the basis of the discussion of limit points on the limit curve, the fractal range of the scheme is obtained and illustrated. The results obtained suggest a clear direction for generating fractal curves by using this scheme. Two fractal examples and their complexity evaluation results obtained by using the box dimension are given. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：2197 / 2200
页数：4
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