Volume 30 Issue 08
Aug.  2004
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Wang Hua, Wang Qi, Sun Jinweiet al. Auto-correlation function based estimation of the fractal dimension of natural texture images[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(08): 718-722. (in Chinese)
Citation: Wang Hua, Wang Qi, Sun Jinweiet al. Auto-correlation function based estimation of the fractal dimension of natural texture images[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(08): 718-722. (in Chinese)

Auto-correlation function based estimation of the fractal dimension of natural texture images

  • Received Date: 26 May 2003
  • Publish Date: 31 Aug 2004
  • A novel method for estimating the fractal dimension has been proposed and the method has been applied to estimate the fractal dimension in natural texture images. Fractal dimension is an important parameter to characterize roughness in an image. Extending the basic theory of fractional Brownian motion to the discrete case, the characteristics of auto-correlation function of fractional Gauss noise has been studied. Based on the characteristics, an auto-correlation function method is obtained to estimate fractal dimension. Both synthesis images of fractal and natural texture images are used to test the proposed method. The method is compared with the box-counting method and the results show that the auto-correlation function method is accurate and efficient.

     

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