Bayesian-Optimal Image Reconstruction for Translational-Symmetric Filters(Cross-disciplinary physics and related areas of science and technology)
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概要
- 論文の詳細を見る
Translational-symmetric filters provide a foundation for various kinds of image processing. When a filtered image containing noise is observed, the original one can be reconstructed by Bayesian inference. Furthermore, hyperparameters such as the smoothness of the image and the noise level in the communication channel through which the image observed can be estimated from the observed image by setting a criterion of maximizing marginalized likelihood. In this article we apply a diagonalization technique with the Fourier transform to this image reconstruction problem. This diagonalization not only reduces computational costs but also facilitates theoretical analyses of the estimation and reconstruction performances. We take as an example the Mexican-hat shaped neural cell receptive field seen in the early visual systems of animals, and we compare the reconstruction performances obtained under various hyperparameter and filter parameter conditions with each other and with the corresponding performances obtained under no-filter conditions. The results show that the using a Mexican-hat filter can reduce reconstruction error.
- 社団法人日本物理学会の論文
- 2008-05-15
著者
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OKADA Masato
Department of Complexity Science and Engineering, Graduate School of Frontier Sciences, The Universi
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OKADA MASATO
Graduate School of Frontier Sciences, The University of Tokyo
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OKADA Masato
University of Tokyo
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Inoue Masato
Department Of Behavioral And Brain Sciences Primate Research Institute Kyoto University
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Inoue Masato
Department Of Electrical Engineering And Bioscience School Of Science And Engineering Waseda Univers
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TAJIMA Satohiro
Department of Complexity Science and Engineering, Graduate School of Frontier Sciences, The Universi
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Tajima Satohiro
Department Of Complexity Science And Engineering Graduate School Of Frontier Sciences The University
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Okada Masato
Department Of Complexity Science And Engineering Graduate School Of Frontier Sciences The University
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Okada Masato
Division Of Transdisciplinary Of Sciences Graduate School Of Frontier Sciences The University Of Tok
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Okada Masato
Department Of Bioscience Tokyo University Of Agriculture
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OKADA Masato
Laboratory for Mathematical Neuroscience, RIKEN Brain Science Institute:"Intelligent Cooperation and Control", PRESTO, JST, co RIKEN BSI:Department of Complexity Science and Engineering, Graduate School of Frontier Sciences, the University of To
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INOUE Masato
Deparatment of Occupational Health, Graduate School of Medicine, Gifu University
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