Title
Bayesian Image Segmentations By Potts Prior And Loopy Belief Propagation
Abstract
This paper presents a Bayesian image segmentation model based on Potts prior and loopy belief propagation. The proposed Bayesian model involves several terms, including the pairwise interactions of Potts models, and the average vectors and covariant matrices of Gauss distributions in color image modeling. These terms are often referred to as hyperparameters in statistical machine learning theory. In order to determine these hyperparameters, we propose a new scheme for hyperparameter estimation based on conditional maximization of entropy in the Potts prior. The algorithm is given based on loopy belief propagation. In addition, we compare our conditional maximum entropy framework with the conventional maximum likelihood framework, and also clarify how the first order phase transitions in loopy belief propagations for Potts models influence our hyperparameter estimation procedures.
Year
DOI
Venue
2014
10.7566/JPSJ.83.124002
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
DocType
Volume
Issue
Journal
83
12
ISSN
Citations 
PageRank 
0031-9015
1
0.43
References 
Authors
11
5
Name
Order
Citations
PageRank
Kazuyuki Tanaka194.06
Shun Kataoka243.23
Muneki Yasuda397.79
Yuji Waizumi4375.86
Chiou-Ting Hsu594084.31