@article{molina1999bayesian,
abstract = {In this paper, we propose the application of the hierarchical Bayesian paradigm to the image restoration problem. We derive expressions for the iterative evaluation of the two hyperparameters applying the evidence and maximum a posteriori (MAP) analysis within the hierarchical Bayesian paradigm. We show analytically that the analysis provided by the evidence approach is more realistic and appropriate than the MAP approach for the image restoration problem. We furthermore study the relationship between the evidence and an iterative approach resulting from the set theoretic regularization approach for estimating the two hyperparameters, or their ratio, defined as the regularization parameter. Finally the proposed algorithms are tested experimentally. {\textcopyright} 1999 IEEE.},
author = {Molina, Rafael and Katsaggelos, A.K. and Mateos, Javier},
doi = {10.1109/83.743857},
issn = {10577149},
journal = {IEEE Transactions on Image Processing},
keywords = {Hierarchical bayesian models,Image restoration,Parameter estimation,Regularization},
number = {2},
pages = {231--246},
publisher = {IEEE},
title = {{Bayesian and regularization methods for hyperparameter estimation in image restoration}},
url = {http://ieeexplore.ieee.org/document/743857/},
volume = {8},
year = {1999}
}

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