Parameter Estimation in TV Image Restoration Using Variational Distribution Approximation. Babacan, S., Molina, R., & Katsaggelos, A. IEEE Transactions on Image Processing, 17(3):326–339, IEEE, mar, 2008.
Parameter Estimation in TV Image Restoration Using Variational Distribution Approximation [link]Paper  doi  abstract   bibtex   
In this paper, we propose novel algorithms for total variation (TV) based image restoration and parameter estimation utilizing variational distribution approximations. Within the hierarchical Bayesian formulation, the reconstructed image and the unknown hyperparameters for the image prior and the noise are simultaneously estimated. The proposed algorithms provide approximations to the posterior distributions of the latent variables using variational methods. We show that some of the current approaches to TV-based image restoration are special cases of our framework. Experimental results show that the proposed approaches provide competitive performance without any assumptions about unknown hyperparameters and clearly outperform existing methods when additional information is included. © 2008 IEEE.
@article{babacan2008parameter,
abstract = {In this paper, we propose novel algorithms for total variation (TV) based image restoration and parameter estimation utilizing variational distribution approximations. Within the hierarchical Bayesian formulation, the reconstructed image and the unknown hyperparameters for the image prior and the noise are simultaneously estimated. The proposed algorithms provide approximations to the posterior distributions of the latent variables using variational methods. We show that some of the current approaches to TV-based image restoration are special cases of our framework. Experimental results show that the proposed approaches provide competitive performance without any assumptions about unknown hyperparameters and clearly outperform existing methods when additional information is included. {\textcopyright} 2008 IEEE.},
author = {Babacan, S.D. and Molina, Rafael and Katsaggelos, A.K.},
doi = {10.1109/TIP.2007.916051},
issn = {1057-7149},
journal = {IEEE Transactions on Image Processing},
keywords = {Bayesian methods,Image restoration,Parameter estimation,Total variation (TV),Variational methods},
month = {mar},
number = {3},
pages = {326--339},
pmid = {18270122},
publisher = {IEEE},
title = {{Parameter Estimation in TV Image Restoration Using Variational Distribution Approximation}},
url = {http://ieeexplore.ieee.org/document/4446214/},
volume = {17},
year = {2008}
}

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