Computational fractal geometry with WFA

被引：0

作者：

Karel Culik II

Jarkko Kari

机构：

[1] Department of Computer Science,

[2] University of South Carolina,undefined

[3] Columbia,undefined

[4] SC 29208,undefined

[5] USA,undefined

[6] Academy of Finland,undefined

[7] Mathematics Department,undefined

[8] University of Turku,undefined

[9] FIN-20500 Turku,undefined

[10] Finland,undefined

来源：

Acta Informatica | 1997年 / 34卷

关键词：

Fractal Dimension; Close Approximation; Fractal Geometry;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We define two measures of “fractalness” of gray-tone images: the degree of self-similarity and the gray-tone fractal dimension as a generalization of Minkovski dimension of compact sets. We show how to compute both these measures from the WFA-representation of a gray-tone image. Since we have developed a WFA-inference algorithm which computes a good approximation of any gray-tone image we can compute a close approximation of both our measures of fractalness for any gray-tone image.

引用

页码：151 / 166

页数：15