Pair Correlation Integral for Fractal Characterization of Three-Dimensional Histograms from Color Images

  • Julien Chauveau
  • David Rousseau
  • François Chapeau-Blondeau
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5099)


The pair correlation integral is used to assess the intrinsic dimensionality of the three-dimensional histogram of RGB color images. For application in the bounded colorimetric cube, this correlation measure is first calibrated on color histograms of reference constructed with integer dimensionality. The measure is then applied to natural color images. The results show that their color histogram tends to display a self-similar structure with noninteger fractal dimension. Such a fractal organization in the colorimetric space can have relevance for image segmentation or classification, or other areas of color image processing.


Color image Color histogram Fractal Pair correlation integral Feature extraction and analysis 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Julien Chauveau
    • 1
  • David Rousseau
    • 1
  • François Chapeau-Blondeau
    • 1
  1. 1.Laboratoire d’Ingénierie des Systèmes Automatisés (LISA)Université d’AngersAngersFrance

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