Bayes-optimal solution to inverse halftoning based on statistical mechanics of the Q-Ising model
スポンサーリンク
概要
- 論文の詳細を見る
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.
論文 | ランダム
- 4. 数量関係(中学校部会 基調発表,II.中学校部会,第90回全国算数・数学教育研究(福島)大会第57回東北地区算数・数学教育研究(福島)大会第46回福島県高等学校教育研究会数学部会日本数学教育学会第90回総会)
- 8A-6 中学校数学における「読解力」の指導についての研究(8指導法,中学校,第89回全国算数・数学教育研究(高知)大会第40回中国・四国算数・数学教育研究(高知)大会日本数学教育学会第89回総会)
- 4. 数量関係(中学校部会 基調発表,II.中学校部会,第89回全国算数・数学教育研究(高知)大会第40回中国・四国算数・数学教育研究(高知)大会日本数学教育学会第89回総会)
- 7A-6 What if not?についての研究(第7分科会 数学的な考え方,II.中学校部会,第87回総会特集号)
- Morphological Regulation of Cultured Hepatic Stellate Cells by Extracellular Matrix through Intracellular Signaling