Title
Efficient MCMC sampling with implicit shape representations
Abstract
We present a method for sampling from the posterior distribution of implicitly defined segmentations conditioned on the observed image. Segmentation is often formulated as an energy minimization or statistical inference problem in which either the optimal or most probable configuration is the goal. Exponentiating the negative energy functional provides a Bayesian interpretation in which the solutions are equivalent. Sampling methods enable evaluation of distribution properties that characterize the solution space via the computation of marginal event probabilities. We develop a Metropolis-Hastings sampling algorithm over level-sets which improves upon previous methods by allowing for topological changes while simultaneously decreasing computational times by orders of magnitude. An M-ary extension to the method is provided.
Year
DOI
Venue
2011
10.1109/CVPR.2011.5995333
CVPR
Keywords
Field
DocType
Bayes methods,Markov processes,Monte Carlo methods,image sampling,image segmentation,inference mechanisms,Bayesian interpretation,MCMC sampling,Metropolis-Hastings sampling algorithm,energy minimization,implicit shape representations,implicitly defined segmentations,posterior distribution,statistical inference problem
Monte Carlo method,Mathematical optimization,Markov chain Monte Carlo,Pattern recognition,Computer science,Image segmentation,Posterior probability,Sampling (statistics),Artificial intelligence,Statistical inference,Bayesian probability,Energy minimization
Conference
ISSN
Citations 
PageRank 
1063-6919
15
0.75
References 
Authors
10
2
Name
Order
Citations
PageRank
Jason Chang11336.75
John W. Fisher III287874.44