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2009 | 7 | 3 | 444-456
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Wydawca

Czasopismo
Rocznik
Tom
7
Numer
3
Strony
444-456
Opis fizyczny
Daty
wydano
2009-09-01
online
2009-06-25
Twórcy
autor
  • Department of Electrical and Computer Engineering, Wakayama National College of Technology, 77 Noshima, Nada, Gobo, Wakayama, 644-0023, Japan, saika@wakayama-nct.ac.jp
  • Complex Systems Engineering, Graduate School of Information Science and Technology, Hokkaido University, N14-W9, Kita-ku, Sapporo, 060-0814, Japan
  • Division of Transdisciplinary Science, Graduate School of Frontier Science, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba, 277-8561, Japan
autor
  • Division of Transdisciplinary Science, Graduate School of Frontier Science, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba, 277-8561, Japan
Bibliografia
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  • [18] S. D. Cabrera, K. Iyer, G. Xiang, V. Kreinovich: On Inverse Halftoning: Computational Complexity and Interval Computations, 2000 Conference on Information Science and Systems, The Johns Hopkins University, March 16–18 (2005)
  • [19] M. Discepoli, I. Greace, Lecture Note on Computer Science 3046, 388 (2004)
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0066-0
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