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.}
}