Image restoration using the chiral Potts spin glass

Carlucci, Domenico M.; Inoue, Jun-ichi

Physical Review E, 1999, 60(3), 2547-2553

Permalink : https://hdl.handle.net/2115/5808

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アクセス権	open access
URI	https://hdl.handle.net/2115/5808
タイトル	Image restoration using the chiral Potts spin glass
著者	著者名 Carlucci, Domenico M.
著者	e-Rad_Researcher 30311658 著者名 Inoue, Jun-ichi 井上, 純一
言語	英語
発行日	1999-09
出版者	American Physical Society
収録物名	Physical Review E
巻(号)	60(3)
ページ	2547-2553
抄録	We report on the image reconstruction (IR) problem by making use of the random chiral q-state Potts model, whose Hamiltonian possesses the same gauge invariance as the usual Ising spin glass model. We show that the pixel representation by means of the Potts variables is suitable for the gray-scale level image which cannot be represented by the Ising model. We find that the IR quality is highly improved by the presence of a glassy term, besides the usual ferromagnetic term under random external fields, as very recently pointed out by Nishimori and Wong. We give the exact solution of the infinite range model with q=3, the three-gray-scale-level case. In order to check our analytical result and the efficiency of our model, two-dimensional Monte Carlo simulations have been carried out on real-world pictures with three and eight gray-scale levels.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
権利情報	Copyright © 1999 American Physical Society
PISSN	1063-651X
関連情報	URI http://www.aps.org/
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1103/PhysRevE.60.2547