A General Bayesian Markov Random Field Model for Probabilistic Image Segmentation

  • Authors:
  • Oscar Dalmau;Mariano Rivera

  • Affiliations:
  • Centro de Investigación en Matemáticas (CIMAT), Guanajuato, Gto, México;Centro de Investigación en Matemáticas (CIMAT), Guanajuato, Gto, México

  • Venue:
  • IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
  • Year:
  • 2009

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Abstract

We propose a general Bayesian model for image segmentation with spatial coherence through a Markov Random Field prior. We also study variants of the model and their relationship. In this work we use the Matusita Distance, although our formulation admits other metric-divergences. Our main contributions in this work are the following. We propose a general MRF-based model for image segmentation. We study a model based on the Matusita Distance, whose solution is found directly in the discrete space with the advantage of working in a continuous space. We show experimentally that this model is competitive with other models of the state of the art. We propose a novel way to deal with non-linearities (irrational) related with the Matusita Distance. Finally, we propose an optimization method that allows us to obtain a hard image segmentation almost in real time and also prove its convergence.