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Unsupervised Bayesian Convex Deconvolution Based on a Field With an Explicit Partition Function

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1 Author(s)
Giovannelli, J.-F. ; CNRS-Supelec-UPS, Gif-sur-Yvette

This paper proposes a non-Gaussian Markov field with a special feature: an explicit partition function. To the best of our knowledge, this is an original contribution. Moreover, the explicit expression of the partition function enables the development of an unsupervised edge-preserving convex deconvolution method. The method is fully Bayesian, and produces an estimate in the sense of the posterior mean, numerically calculated by means of a Monte-Carlo Markov chain technique. The approach is particularly effective and the computational practicability of the method is shown on a simple simulated example.

Published in:

Image Processing, IEEE Transactions on  (Volume:17 ,  Issue: 1 )

Date of Publication:

Jan. 2008

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