Presentation | 2007-10-18 Baysian-optimal image reconstruction for translational-symmetric filter Satohiro TAJIMA, Masato INOUE, Masato OKADA, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | Translational symmetric filter provides a foundation for various image processing. Given that filtered images are observed with noise, the prefiltered originals can be reconstructed by assuming their prior distribution, and following the framework of Bayesian inference. Further, it is also possible to estimate the hyperparamters such as prior distribution and noise ratio only from observed image, setting a criterion of maximizing marginalized likelihood. In this article, we show that diagonalization technique with Fourier transform is applied toward these problem. This leads not only (1) drastic reduction in the computational costs, but also (2) theoretical analysis for the performance of the estimation and the reconstruction. As an example of translational symmetric filter, we take Mexican-hat shaped cell receptive field, which is seen in retina and other visual system, and discuss the optimal filter design under noisy communication channel. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Bayesian inference / Image reconstruction / Translational invariance / Fourier transformation / Hyperparameter estimation / Mexican hat / Filter design |
Paper # | NC2007-33 |
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Committee | NC |
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Conference Date | 2007/10/11(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Neurocomputing (NC) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Baysian-optimal image reconstruction for translational-symmetric filter |
Sub Title (in English) | |
Keyword(1) | Bayesian inference |
Keyword(2) | Image reconstruction |
Keyword(3) | Translational invariance |
Keyword(4) | Fourier transformation |
Keyword(5) | Hyperparameter estimation |
Keyword(6) | Mexican hat |
Keyword(7) | Filter design |
1st Author's Name | Satohiro TAJIMA |
1st Author's Affiliation | Graduate School of Frontier Science, The University of Tokyo() |
2nd Author's Name | Masato INOUE |
2nd Author's Affiliation | Department of Electrical Engineering and Bioscience, Waseda University |
3rd Author's Name | Masato OKADA |
3rd Author's Affiliation | Graduate School of Frontier Science, The University of Tokyo |
Date | 2007-10-18 |
Paper # | NC2007-33 |
Volume (vol) | vol.107 |
Number (no) | 263 |
Page | pp.pp.- |
#Pages | 6 |
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