A Finite Markov Random Field approach to fast edge-preserving image recovery

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15 Citations (Scopus)

Abstract

We investigate the properties of edge-preserving smoothing in the context of Finite Markov Random Fields (FMRF). Our main result follows from the definition of discontinuity adaptive potential for FMRF which imposes to penalize linearly image gradients. This is in agreement with the Total Variation based regularization approach to image recovery and analysis. We also report a fast computational algorithm exploiting the finiteness of the field, it uses integer arithmetic and a gradient descent updating procedure. Numerical results on real images and comparisons with anisotropic diffusion and half-quadratic regularization are reported.

Original languageEnglish
Pages (from-to)792-804
Number of pages13
JournalImage and Vision Computing
Volume25
Issue number6
DOIs
Publication statusPublished - 1 Jun 2007
Externally publishedYes

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Keywords

  • Edge-preserving potentials
  • Image denoising
  • Markov random fields

ASJC Scopus subject areas

  • Signal Processing
  • Computer Vision and Pattern Recognition

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