基于数学形态学的图像分形维数实时提取方法研究

STUDY REAL-TIME EXTRACTING THE FRACTAL DIMENSION OF IMAGE BASED ON MATHEMATICAL MORPHOLOGY

  • 摘要: 图像的分形维数是图像的重要定量特征,可广泛应用于图像分析中.但一般计算图像分形维数的算法存在计算量大,不能实时计算的缺点.为了实时计算图像的分形维数,本文根据Minkowski-Bouligand维数定义,采用数学形态学覆盖的方法设计了一种算法,并同Box Counting方法进行了比较,实验计算结果表明该算法计算准确度高且稳健性好.同时本文还给出了实时并行实现结构.

     

    Abstract: The fractal dimension of image is an important quantitative character, which can be widely used in image analysis. But general algorithms need more computation cost and can not be computed in real-time. In order to compute the fractal dimension of an image in real-time, an algorithm is designed in this paper by using morphological cover, according to the definition of Minkowski-Bouligand dimension. The comparison with Box Counting method is done. The result of experimental computation manifests that the fractal dimension of the image can be precisely and robustly computed by using the algorithm. The architecture of real-time parallel realization is given in this paper.

     

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