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A Plug and Play Bayesian Algorithm for Solving Myope Inverse Problems

Chaari, Lotfi and Tourneret, Jean-Yves and Batatia, Hadj A Plug and Play Bayesian Algorithm for Solving Myope Inverse Problems. (2018) In: 26th European Signal and Image Processing Conference (EUSIPCO 2018), 3 September 2018 - 7 September 2018 (Rome, Italy).

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Official URL: https://doi.org/10.23919/EUSIPCO.2018.8553481

Abstract

The emergence of efficient algorithms in variational and Bayesian frameworks braught significant advances to the field of inverse problems. However, such problems remain challenging when the observation operator is not perfectly known. In this paper we propose a Bayesian Plug-and-Play (PP) algorithm for solving a wide range of inverse problems where the signal/image is sparse in the original domain and the observation operator has to be estimated. The principle consists of plugging the prior considered for the target observation operator and keep using the same algorithm. The proposed method relies on a generic proximal non-smooth sampling scheme. This genericity makes the proposed algorithm novel in the sense that it can be used to solve a wide range or inverse problems. Our method is illustrated on a deblurring problem with unknown blur operator where promising results are obtained.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in Proceedings of EUPSICO 2018 Electronic ISBN: 978-9-0827-9701-5 Electronic ISSN: 2076-1465 The original PDF of the article can be found at: https://ieeexplore.ieee.org/document/8553481 Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Audience (conference):International conference proceedings
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Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited On:25 Jun 2020 12:16

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