A Bayesian approach to blind deconvolution based on Dirichlet distributions. Molina, R., Katsaggelos, A., Abad, J., & Mateos, J. In 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, volume 4, pages 2809–2812, 1997. IEEE, IEEE Comput. Soc. Press.
A Bayesian approach to blind deconvolution based on Dirichlet distributions [link]Paper  doi  abstract   bibtex   
This paper deals with the simultaneous identification of the blur and the restoration of a noisy and blurred image. We propose the use of Dirichlet distributions to model our prior knowledge about the blurring function together with smoothness constraints on the restored image to solve the blind deconvolution problem. We show that the use of Dirichlet distributions offers a lot of flexibility in incorporating vague or very precise knowledge about the blurring process into the blind deconvolution process. The proposed MAP estimator offers additional flexibility in modeling the original image. Experimental results demonstrate the performance of the proposed algorithm.
@inproceedings{molina1997bayesian,
abstract = {This paper deals with the simultaneous identification of the blur and the restoration of a noisy and blurred image. We propose the use of Dirichlet distributions to model our prior knowledge about the blurring function together with smoothness constraints on the restored image to solve the blind deconvolution problem. We show that the use of Dirichlet distributions offers a lot of flexibility in incorporating vague or very precise knowledge about the blurring process into the blind deconvolution process. The proposed MAP estimator offers additional flexibility in modeling the original image. Experimental results demonstrate the performance of the proposed algorithm.},
author = {Molina, Rafael and Katsaggelos, A.K. and Abad, Javier and Mateos, Javier},
booktitle = {1997 IEEE International Conference on Acoustics, Speech, and Signal Processing},
doi = {10.1109/ICASSP.1997.595373},
isbn = {0-8186-7919-0},
issn = {07367791},
organization = {IEEE},
pages = {2809--2812},
publisher = {IEEE Comput. Soc. Press},
title = {{A Bayesian approach to blind deconvolution based on Dirichlet distributions}},
url = {http://ieeexplore.ieee.org/document/595373/},
volume = {4},
year = {1997}
}

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