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arXiv · 0901.3326

Unsupervised bayesian convex deconvolution based on a field with an explicit partition function

Jean-Francois Giovannelli
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Abstract

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.

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BibTeXRIS

Jean-Francois Giovannelli. 2009-01-26. Unsupervised bayesian convex deconvolution based on a field with an explicit partition function. https://doi.org/10.1109/tip.2007.911819

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