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彩色分形图像的分形维数。

Fractal dimension of color fractal images.

机构信息

Transilvania University, Bras¸ov 500036, România.

出版信息

IEEE Trans Image Process. 2011 Jan;20(1):227-35. doi: 10.1109/TIP.2010.2059032. Epub 2010 Jul 19.

Abstract

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.

摘要

分形维数是分析具有自相似内容的图像(如纹理)的非常有用的度量标准。对于其计算,存在几种方法,概率算法被认为是最优雅的方法。然而,所有现有的方法都是针对 1-D 信号或二进制图像定义的,并扩展到灰度图像。我们的目的是提出一种用于计算分形维数的概率算法的彩色版本。为了验证这种新方法,我们还提出了对现有算法的扩展,以便生成概率分形,从而获得彩色分形图像。然后,我们展示了实验结果并得出结论。

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