Hidden variable bivariate fractal interpolation surfaces

被引：55

作者：

Chand, AKB ^{[1
]}

Kapoor, GP ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kanpur 208016, Uttar Pradesh, India

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2003年 / 11卷 / 03期

关键词：

bivariate fractal; fractal dimension; FIF; IFS; surface generation;

D O I：

10.1142/S0218348X03002129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct hidden variable bivariate fractal interpolation surfaces (FIS). The vector valued iterated function system (IFS) is constructed in R-4 and its projection in R-3 is taken. The extra degree of freedom coming from R-4 provides hidden variable, which is an important factor for flexibility and diversity in the interpolated surface. In the present paper, we construct an IFS that generates both self-similar and non-self-similar FIS simultaneously and show that the hidden variable fractal surface may be self-similar under certain conditions.

引用

页码：277 / 288

页数：12

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