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Paper Information

Journal:   JOURNAL OF IRANIAN ASSOCIATION OF ELECTRICAL AND ELECTRONICS ENGINEERS   FALL 2006- WINTER 2007 , Volume 3 , Number 2; Page(s) 3 To 21.
 
Paper: 

INVERSE PROBLEMS IN IMAGING SYSTEMS AND GENERAL BAYESIAN INVERSION FRAMEWORK

 
 
Author(s):  JAFARI A.M.*
 
* SIGNAL AND SYSTEM LAB., MIXED BRANCH OF RESEARCH NO.8506 (CNRS, SUPÉLEC, UNIVERSITY OF SOUTH PARIS), SUPÉLEC, PLATEAU DE MOULON, 3 JOLIOT-CURIE, ST. 91192 GIF-SUR-YVETTE CEDEX, FRANCE
 
Abstract: 

In this paper, first a great number of inverse problems which arise in instrumentation, in computer imaging systems and in computer vision are presented.
Then a common general forward modeling for them is given and the corresponding inversion problem is presented. Then, after showing the inadequacy of the classical analytical and least square methods for these ill posed inverse problems, a Bayesian estimation framework is presented which can handle, in a coherent way, all these problems. One of the main steps, in Bayesian inversion framework is the prior modeling of the unknowns. For this reason, a great number of such models and in particular the compound hidden Markov models are presented. Then, the main computational tools of the Bayesian estimation are briefly presented. Finally, some particular cases are studied in detail and new results are presented.

 
Keyword(s): INVERSE PROBLEM, BAYESIAN FRAMEWORK, LARGE SYSTEM, MARKOV MODEL
 
References: 
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