Title
Potts Model Parameter Estimation In Bayesian Segmentation Of Piecewise Constant Images
Abstract
The paper presents a method for estimating the parameter of a Potts model jointly with the unknowns of an image segmentation problem. The method addresses piecewise constant images degraded by additive noise. The proposed solution follows a Bayesian approach, that yields the posterior law for all the unknowns (labels, gray levels, noise level and Potts parameter). It is explored by means of MCMC stochastic sampling, more precisely, by Gibbs algorithm. The estimates are then computed from these samples. The estimation of the Potts parameter is challenging due to the intractable normalizing constant of the model. The proposed solution is based on pre-computing the value of this normalizing constant for different image dimensions and number of classes, this being the novelty of this paper. The segmentation results are as satisfying as those obtained when tuning the parameter by hand.
Year
Venue
Keywords
2015
2015 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING (ICASSP)
Bayes, Potts model, normalizing constant, unsupervised segmentation, stochastic sampling
Field
DocType
ISSN
Scale-space segmentation,Image segmentation,Artificial intelligence,Normalizing constant,Estimation theory,Piecewise,Pattern recognition,Segmentation,Gibbs algorithm,Algorithm,Potts model,Machine learning,Mathematics
Conference
1520-6149
Citations 
PageRank 
References 
1
0.35
6
Authors
4
Name
Order
Citations
PageRank
Roxana-Gabriela Rosu171.12
Jean-François Giovannelli27615.00
Audrey Giremus312920.57
Cornelia Vacar471.16