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Image restoration using the chiral Potts spin glass

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Title: Image restoration using the chiral Potts spin glass
Authors: Carlucci, Domenico M. Browse this author
Inoue, Jun-ichi2 Browse this author →KAKEN DB
Authors(alt): 井上, 純一2
Issue Date: Sep-1999
Publisher: American Physical Society
Journal Title: Physical Review E
Volume: 60
Issue: 3
Start Page: 2547
End Page: 2553
Publisher DOI: 10.1103/PhysRevE.60.2547
Abstract: 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.
Rights: Copyright © 1999 American Physical Society
Type: article
Appears in Collections:情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 井上 純一

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