Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions

被引：37

作者：

Feng, Zhigang ^{[1
,2
]}

Sun, Xiuqing ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] China Univ Min & Technol, State Key Lab Coal Resources & Safe Min, Beijing 100086, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 412卷 / 01期

关键词：

Affine fractal interpolation function; Variation; Fractal interpolation surface; Box-counting dimension; MINKOWSKI DIMENSION; STABILITY;

D O I：

10.1016/j.jmaa.2013.10.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A construction method of Fractal Interpolation Surfaces on a rectangular domain with arbitrary interpolation nodes is introduced. The variation properties of the binary functions corresponding to this type of fractal interpolation surfaces are discussed. Based on the relationship between Box-counting dimension and variation, some results about Box-counting dimension of the fractal interpolation surfaces are given. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：416 / 425

页数：10

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