Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Probabilistic, Iterated and Quantum-Iterated Computational Methods in Gray-Level Image Restoration
Kazuyuki TANAKATsuyoshi HORIGUCHI
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2002 Volume 8 Issue 1 Pages 33-50

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Abstract
For image restoration as an energy minimization problem, an energy function is expressed by using a hamiltonian of a classical spin system only with finite range interactions. The problem is formulated in terms of a probabilistic model with a Gibbs distribution and hence may be regarded as a Markov random field model. We compare the results obtained by proposed methods with those obtained by the probabilistic computational algorithms for restoration of natural images within a framework of the mean-field approximation or the pair approximation. We clarify a role of Nishimori-Wong’s inequality in the Markov random field model as for the practical algorithms to the image restoration of natural images through some numerical experiments.
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© 2002 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
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