Reversible Jump Markov Chain Monte Carlo for Unsupervised MRF Color Image Segmentation (bibtex)
by Zoltan Kato
Abstract:
Reversible jump Markov chain Monte Carlo (RJMCMC) is a recent method which makes it possible to construct reversible Markov chain samplers that jump between parameter subspaces of different dimensionality. In this paper, we propose a new RJMCMC sampler for multivariate Gaussian mixture identification and we apply it to color image segmentation. For this purpose, we consider a first order Markov random field (MRF) model where the singleton energies derive from a multivariate Gaussian distribution and second order potentials favor similar classes in neighboring pixels. The proposed algorithm finds the most likely number of classes, their associated model parameters and generates a segmentation of the image by classifying the pixels into these classes. The estimation is done according to the Maximum A Posteriori (MAP) criterion. Experimental results are promising, we have obtained accurate results on a variety of real color images.
Reference:
Zoltan Kato, Reversible Jump Markov Chain Monte Carlo for Unsupervised MRF Color Image Segmentation, In Proceedings of British Machine Vision Conference (Andreas Hoppe, Sarah Barman, Tim Ellis, eds.), volume 1, Kingston, UK, pp. 37-46, 2004.
Bibtex Entry:
@string{bmvc="Proceedings of British Machine Vision Conference"}
@InProceedings{Kato2004a,
  author =	 {Kato, Zoltan},
  title =	 {Reversible Jump {M}arkov Chain {M}onte {C}arlo for
                  Unsupervised {MRF} Color Image Segmentation},
  booktitle =	 bmvc,
  pages =	 {37--46},
  year =	 2004,
  editor =	 {Hoppe, Andreas and Barman, Sarah and Ellis, Tim},
  volume =	 {1},
  address =	 {Kingston, UK},
  month =	 sep,
  organization = {BMVA},
  ps =           {papers/bmvc2004.ps},
  pdf =		 {papers/bmvc2004.pdf},
  abstract =	 {Reversible jump Markov chain Monte Carlo (RJMCMC) is
                  a recent method which makes it possible to construct
                  reversible Markov chain samplers that jump between
                  parameter subspaces of different dimensionality. In
                  this paper, we propose a new RJMCMC sampler for
                  multivariate Gaussian mixture identification and we
                  apply it to color image segmentation. For this
                  purpose, we consider a first order Markov random
                  field (MRF) model where the singleton energies
                  derive from a multivariate Gaussian distribution and
                  second order potentials favor similar classes in
                  neighboring pixels. The proposed algorithm finds the
                  most likely number of classes, their associated
                  model parameters and generates a segmentation of the
                  image by classifying the pixels into these
                  classes. The estimation is done according to the
                  Maximum A Posteriori (MAP) criterion. Experimental
                  results are promising, we have obtained accurate
                  results on a variety of real color images.}
}
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