Fractal interpolation surfaces derived from Fractal interpolation functions

被引：56
|
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.
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页码：919 / 936
页数：18
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