Title
Sparse Bayesian Image Restoration
Abstract
In this paper we propose a novel Bayesian algorithm for image restoration and parameter estimation. We utilize an image prior where Gaussian distributions are placed per pixel in the high-pass filter outputs of the image. By following the hierarchical Bayesian framework, we simultaneously estimate the unknown image and hyperparameters for both the image prior and the image degradation noise. We show that the proposed formulation is a special case of the popular l(p)-norm based formulations with p = 0, and therefore enforces sparsity to an high extent in the filtered image coefficients. Moreover, the proposed formulation results in a convex optimization problem, and therefore does not suffer from the robustness issues common with non-convex image priors. Experimental results demonstrate that the proposed algorithm provides superior performance compared to state-of-the-art restoration algorithms although no user-supervision is required.
Year
DOI
Venue
2010
10.1109/ICIP.2010.5650957
2010 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING
Keywords
Field
DocType
Image restoration, parameter estimation, Bayesian methods
Pattern recognition,Hyperparameter,Computer science,Robustness (computer science),Artificial intelligence,Pixel,Image restoration,Estimation theory,Prior probability,Convex optimization,Bayesian probability
Conference
ISSN
Citations 
PageRank 
1522-4880
1
0.37
References 
Authors
5
3
Name
Order
Citations
PageRank
S. Derin Babacan153426.60
Rafael Molina21439103.16
Aggelos K. Katsaggelos33410340.41