Title
Bayesian Image Restoration Under Poisson Noise And Log-Concave Prior
Abstract
In recent years, much research has been devoted to the restoration of Poissonian images using optimization-based methods. On the other hand, the derivation of efficient and general fully Bayesian approaches is still an active area of research and especially if standard regularization functions are used, e.g. the total variation (TV) norm. This paper proposes to use the recent split-and-augmented Gibbs sampler (SPA) to sample efficiently from an approximation of the initial target distribution when log-concave prior distributions are used. SPA embeds proximal Markov chain Monte Carlo (MCMC) algorithms to sample from possibly non-smooth log-concave full conditionals. The benefit of the proposed approach is illustrated on several experiments including different regularizers, intensity levels and with both analysis and synthesis approaches.
Year
DOI
Venue
2019
10.1109/icassp.2019.8683031
2019 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP)
Keywords
Field
DocType
Bayesian inference, image restoration, Poisson noise, split-and-augmented Gibbs sampler
Bayesian inference,Markov chain Monte Carlo,Pattern recognition,Bayesian image restoration,Computer science,Regularization (mathematics),Artificial intelligence,Image restoration,Shot noise,Gibbs sampling,Bayesian probability
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Maxime Vono100.68
Nicolas Dobigeon22070108.02
Pierre Chainais36112.32