On smoothness for a class of fractal interpolation surfaces

被引：21
|
作者：
Wang, Hong-Yong [1 ]
机构：
[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2006年 / 14卷 / 03期
关键词：
fractal interpolation surface; iterated function system; smoothness;
D O I：
10.1142/S0218348X06003222
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a wide class of iterated function systems in R-3, and show that their attractors are a class of fractal interpolation surfaces. Based on a refinement equation, we investigate the properties of smoothness of the fractal interpolation functions, and give the results of the smoothness in several cases.
引用
收藏
页码：223 / 230
页数：8
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