计算机科学 ›› 2015, Vol. 42 ›› Issue (8): 310-313.

• 图形图像与模式识别 • 上一篇    下一篇

彩色图像分形维数的计算方法

李玉蓉,段江   

  1. 西南财经大学信息工程学院 成都610074,西南财经大学信息工程学院 成都610074
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受中央高校基本科研业务费研究项目(JBK140929),国家自然科学基金重大研究计划(91218301),四川省杰出青年学术技术带头人资助

Method of Calculating Fractal Dimension for Color Images

LI Yu-rong and DUAN Jiang   

  • Online:2018-11-14 Published:2018-11-14

摘要: 分形维数是描述图像复杂性的一种重要测度,广泛应用于图像特征提取及图像分类、分割和检索等方面。多种黑白图像和灰度图像的分形维数计算方法已被提出,但其中很少有适用于彩色图像的分形维数计算方法。把计算灰度图像分形维数的差分盒维法扩展到欧氏五维空间,提出了一种简单且易实现的计算彩色图像分形维数的方法。实验结果表明,提出的方法能够捕捉到彩色图像纹理的复杂性,在识别彩色图像粗糙度变化和计算精度方面优于其它算法。

关键词: 分形维数,彩色图像,差分盒维法,纹理

Abstract: Fractal dimension is an import metric for the description of the complexity of color images,widely used to extract characteristics of image and classify,segment or index images.Many approaches to calculate fractal dimension for grayscale images or binary images have been proposed,but very few methods are for color images.A method with simplicity and automatic computability of fractal dimension estimation was presented for color images,which extends the differential box-counting method to 5-D euclidian hyper-space.The experiments demonstrate that the proposed method is able to capture the complexity of color images,and outperforms the others in terms of identifying the roughness of color textures and the computational accuracy.

Key words: Fractal dimension,Color image,Differential box-counting,Texture

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