Bayes-optimal solution to inverse halftoning based on statistical mechanics of the Q-Ising model

Saika, Yohei; Inoue, Jun-Ichi; Tanaka, Hiroyuki; Okada, Masato

Bayes-optimal solution to inverse halftoning based on statistical mechanics of the Q-Ising model

Saika, Yohei; Inoue, Jun-Ichi; Tanaka, Hiroyuki et al.

Central European Journal of Physics, 2009, 7(3), 444-456

Permalink : https://hdl.handle.net/2115/42539

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アクセス権	open access
URI	https://hdl.handle.net/2115/42539
タイトル	Bayes-optimal solution to inverse halftoning based on statistical mechanics of the Q-Ising model
著者	Saika, Yohei ; Inoue, Jun-Ichi ; Tanaka, Hiroyuki ; Okada, Masato
著者名 Saika, Yohei
e-Rad_Researcher 30311658 著者名 Inoue, Jun-Ichi
著者名 Tanaka, Hiroyuki
著者名 Okada, Masato
言語	英語
キーワード	statistical mechanics
	inverse halftoning
	Monte Carlo simulation
	infinite-range model
	Bethe approximation
	PACS=01.30.-y
	PACS=01.30.Xx
	PACS=01.30.Tt
発行日	2009-09
出版者	Versita, co-published with Springer-Verlag GmbH
収録物名	Central European Journal of Physics
巻(号)	7(3)
ページ	444-456
抄録	On the basis of statistical mechanics of the Q-Ising model, we formulate the Bayesian inference to the problem of inverse halftoning, which is the inverse process of representing gray-scales in images by means of black and white dots. Using Monte Carlo simulations, we investigate statistical properties of the inverse process, especially, we reveal the condition of the Bayes-optimal solution for which the mean-square error takes its minimum. The numerical result is qualitatively confirmed by analysis of the infinite-range model. As demonstrations of our approach, we apply the method to retrieve a grayscale image, such as standard image Lena, from the halftoned version. We find that the Bayes-optimal solution gives a fine restored grayscale image which is very close to the original. In addition, based on statistical mechanics of the Q-Ising model, we are sucessful in constructing a practically useful method of inverse halftoning using the Bethe approximation.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	The original publication is available at www.springerlink.com
PISSN	1895-1082
EISSN	1644-3608
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.2478/s11534-009-0066-0