Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension

被引：87

作者：

Bouboulis, P.

Dalla, Leoni

Drakopoulos, V. ^{[1
]}

机构：

[1] Univ Athens, Dept Informat & Telecommun, Athens 15784, Greece

[2] Univ Athens, Dept Math, Athens 15784, Greece

来源：

JOURNAL OF APPROXIMATION THEORY | 2006年 / 141卷 / 02期

关键词：

fractal interpolation functions; IFS; RIFS; fractals; bivariate fractal interpolation surfaces; box-counting dimension; Minkowski dimension;

D O I：

10.1016/j.jat.2006.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recurrent bivariate fractal interpolation surfaces (RBFISs) generalise the notion of affine fractal interpolation surfaces (FISs) in that the iterated system of transformations used to construct such a surface is non-affine. The resulting limit surface is therefore no longer self-affine nor self-similar. Exact values for the box-counting dimension of the RBFISs are obtained. Finally, a methodology to approximate any natural surface using RBFISs is outlined. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：99 / 117

页数：19

共 24 条

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Barnsley M.F., 1993, Fractals everywhere

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