• DocumentCode
    1341447
  • Title

    Wavelet Modeling Using Finite Mixtures of Generalized Gaussian Distributions: Application to Texture Discrimination and Retrieval

  • Author

    Allili, Mohand Saïd

  • Author_Institution
    Dept. d´´Inf. et d´´Ing., Univ. du Quebec en Outaouais, Gatineau, QC, Canada
  • Volume
    21
  • Issue
    4
  • fYear
    2012
  • fDate
    4/1/2012 12:00:00 AM
  • Firstpage
    1452
  • Lastpage
    1464
  • Abstract
    This paper addresses statistical-based texture modeling using wavelets. We propose a new approach to represent the marginal distribution of the wavelet coefficients using finite mixtures of generalized Gaussian (MoGG) distributions. The MoGG captures a wide range of histogram shapes, which provides better description and discrimination of texture than using single probability density functions (pdf´s), as proposed by recent state-of-the-art approaches. Moreover, we propose a model similarity measure based on Kullback-Leibler divergence (KLD) approximation using Monte Carlo sampling methods. Through experiments on two popular texture data sets, we show that our approach yields significant performance improvements for texture discrimination and retrieval, as compared with recent methods of statistical-based wavelet modeling.
  • Keywords
    Gaussian distribution; Monte Carlo methods; approximation theory; image retrieval; image sampling; image texture; probability; statistical analysis; wavelet transforms; KLD approximation; Kullback-Leibler divergence approximation; MoGG distributions; Monte Carlo sampling methods; finite mixtures; generalized Gaussian distributions; histogram shapes; marginal distribution; model similarity measure; pdf; performance improvements; single probability density functions; state-of-the-art approaches; statistical-based texture modeling; statistical-based wavelet modeling; texture data sets; texture discrimination; texture retrieval; wavelet coefficients; wavelets; Accuracy; Approximation methods; Data models; Gaussian distribution; Histograms; Image segmentation; Shape; Image segmentation; Kullback–Leibler divergence (KLD); mixture of generalized Gaussians (MoGG); texture; wavelet decomposition; Algorithms; Computer Simulation; Data Interpretation, Statistical; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Models, Statistical; Normal Distribution; Pattern Recognition, Automated; Reproducibility of Results; Sensitivity and Specificity; Wavelet Analysis;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/TIP.2011.2170701
  • Filename
    6035775