Fractal Dimension of Color Fractal Images

被引：90

作者：

Ivanovici, Mihai ^{[1
]}

Richard, Noel ^{[2
]}

机构：

[1] Transilvania Univ, Fac Elect Engn & Comp Sci, Brasov 500036, Romania

[2] Univ Poitiers, F-86034 Poitiers, France

来源：

IEEE TRANSACTIONS ON IMAGE PROCESSING | 2011年 / 20卷 / 01期

关键词：

Color fractal generation; color images; fractal dimension; fractional Brownian noise; texture; LACUNARITY; SEGMENTATION;

D O I：

10.1109/TIP.2010.2059032

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Fractal dimension is a very useful metric for the analysis of the images with self-similar content, such as textures. For its computation there exist several approaches, the probabilistic algorithm being accepted as the most elegant approach. However, all the existing methods are defined for 1-D signals or binary images, with extension to grayscale images. Our purpose is to propose a color version of the probabilistic algorithm for the computation of the fractal dimension. To validate this new approach, we also propose an extension of the existing algorithm for the generation of probabilistic fractals, in order to obtain color fractal images. Then we show the results of our experiments and conclude this paper.

引用

页码：227 / 235

页数：9

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