Modeling multiscale subbands of photographic images with fields of Gaussian scale mixtures

S Lyu and E P Simoncelli

Published in IEEE Trans. Pattern Analysis and Machine Intelligence, vol.31(4), pp. 693--706, Apr 2009.

DOI: 10.1109/TPAMI.2008.107

Download:

  • Reprint (pdf)
  • Official (pdf)
    • The local statistical properties of photographic images, when represented in a multi-scale basis, have been described using Gaussian scale mixtures. Here, we use this local description as a substrate for constructing a global field of Gaussian scale mixtures (FoGSMs). Specifically, we model multi-scale subbands as a product of an exponentiated homogeneous Gaussian Markov random field (hGMRF) and a second independent hGMRF. We show that parameter estimation for this model is feasible, and that samples drawn from a FoGSM model have marginal and joint statistics similar to subband coefficients of photographic images. We develop an algorithm for removing additive white Gaussian noise based on the FoGSM model, and demonstrate denoising performance comparable with state-of-the-art methods.
  • Superseded Publications: Lyu06a
    Warning: Undefined array key 2 in /System/Volumes/Data/e/1.3/p1/lcv/html_public/pubs/makeAbs.php on line 304

    Warning: Undefined array key 2 in /System/Volumes/Data/e/1.3/p1/lcv/html_public/pubs/makeAbs.php on line 304

    Warning: Undefined array key 2 in /System/Volumes/Data/e/1.3/p1/lcv/html_public/pubs/makeAbs.php on line 304

    Warning: Undefined array key 2 in /System/Volumes/Data/e/1.3/p1/lcv/html_public/pubs/makeAbs.php on line 304
  • Nonlinear (divisive) multi-scale decomposition based on random field model: Lyu07a
  • Mixture of GSMs: Guerrero-Colon08a
  • Local Gaussian scale mixture model, with denoising: Portilla03
  • Initial description of Gaussian scale mixtures for image modeling: Wainwright99b
  • Listing of all publications