Fractal properties of interpolatory subdivision schemes and their application in fractal generation

被引：19
|
作者：
Zheng, Hongchan [1 ]
Ye, Zhenglin [1 ]
Lei, Youming [1 ]
Liu, Xiaodong [1 ]
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 32卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/j.chaos.2005.10.075
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a novel method to analyze the fractal properties of the 4-point binary and the 3-point ternary interpolatory subdivision schemes. The relationship between the parameter and the fractal behavior of the limit curve of the two schemes is obtained, respectively. As an application of the obtained results, the generation of fractal curves and surfaces is discussed. Many examples show that the results presented in this paper offer a direct means for a fast generation of fractals. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：113 / 123
页数：11
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