BOX DIMENSION OF BILINEAR FRACTAL INTERPOLATION SURFACES

被引：16

作者：

Kong, Qing-Ge ^{[1
]}

Ruan, Huo-Jun ^{[1
]}

Zhang, Sheng ^{[1
,2
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 98卷 / 01期

关键词：

bilinear fractal interpolation surfaces; box dimension; iterated function systems; vertical scaling factors; MINKOWSKI DIMENSION;

D O I：

10.1017/S0004972718000321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Bilinear fractal interpolation surfaces were introduced by Ruan and Xu in 2015. In this paper, we present the formula for their box dimension under certain constraint conditions.

引用

页码：113 / 121

页数：9

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