关键词: 分形, 分形维, 微观结构, 图像处理, 盒计数维数

Abstract: For a series of microcosmic structure images obtained through the scanning electron microscopy, according to the description about fractal by K. Falconner, this paper preliminarily judges whether the image has fractal features, then a fractal analysis method is brought in the image processing of the material with fractal feature in microcosmic structure. Based on the Matlab tool, it combines with the normal method of image processing, makes further research on the structure’s fractal feature, gets information of box-counting dimension and analyzes the results after observation.
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Key words: fractal, fractal dimension, microcosmic structure, image processing, box-counting dimension