Fractal interpolation surfaces derived from Fractal interpolation functions

被引：54

作者：

Bouboulis, P. ^{[1
]}

Dalla, L.

机构：

[1] Univ Athens, Dept Informat Telecommun Telecommun & Signal P, GR-15784 Athens, Greece

[2] Univ Athens, Dept Math Mathemat Anal, GR-15784 Athens, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 02期

关键词：

Fractal interpolation functions; Fractal interpolation surfaces; box counting dimension; Fractals; smooth fractal surfaces;

D O I：

10.1016/j.jmaa.2007.01.112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the construction of Fractal Interpolation Functions, a new construction of Fractal Interpolation Surfaces on arbitrary data is presented and some interesting properties of them are proved. Finally, a lower bound of their box counting dimension is provided. (c) 2007 Elsevier Inc. All rights reserved.

引用

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页码：919 / 936

页数：18

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