Nonparametric Bayesian Image Segmentation

  • Authors:
  • Peter Orbanz;Joachim M. Buhmann

  • Affiliations:
  • Institute of Computational Science, ETH Zürich, Zurich, Switzerland 8092;Institute of Computational Science, ETH Zürich, Zurich, Switzerland 8092

  • Venue:
  • International Journal of Computer Vision
  • Year:
  • 2008

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Abstract

Image segmentation algorithms partition the set of pixels of an image into a specific number of different, spatially homogeneous groups. We propose a nonparametric Bayesian model for histogram clustering which automatically determines the number of segments when spatial smoothness constraints on the class assignments are enforced by a Markov Random Field. A Dirichlet process prior controls the level of resolution which corresponds to the number of clusters in data with a unique cluster structure. The resulting posterior is efficiently sampled by a variant of a conjugate-case sampling algorithm for Dirichlet process mixture models. Experimental results are provided for real-world gray value images, synthetic aperture radar images and magnetic resonance imaging data.