A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction
We develop a hyperparameter inference method for image reconstruction from Radon transform which often appears in the computed tomography, in the manner of Bayesian inference. Hyperparameters are often introduced in Bayesian inference to control the strength ratio between prior information and the f...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://dx.doi.org/10.1155/2011/870252 |
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| _version_ | 1849695929060294656 |
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| author | Hayaru Shouno Madomi Yamasaki Masato Okada |
| author_facet | Hayaru Shouno Madomi Yamasaki Masato Okada |
| author_sort | Hayaru Shouno |
| collection | DOAJ |
| description | We develop a hyperparameter inference method for image reconstruction from Radon transform which often appears in the computed tomography, in the manner of Bayesian inference. Hyperparameters are often introduced in Bayesian inference to control the strength ratio between prior information and the fidelity to the observation. Since the quality of the reconstructed image is controlled by the estimation accuracy of these hyperparameters, we apply Bayesian inference into the filtered back-projection (FBP) reconstruction method with hyperparameters inference and demonstrate that the estimated hyperparameters can adapt to the noise level in the observation automatically. In the computer simulation, at first, we show that our algorithm works well in the model framework environment, that is, observation noise is an additive white Gaussian noise case. Then, we also show that our algorithm works well in the more realistic environment, that is, observation noise is Poissonian noise case. After that, we demonstrate an application for the real chest CT image reconstruction under the Gaussian and Poissonian observation noises. |
| format | Article |
| id | doaj-art-d0ee43c2cc2542008980a2c26fc7ecf8 |
| institution | DOAJ |
| issn | 1687-4188 1687-4196 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Biomedical Imaging |
| spelling | doaj-art-d0ee43c2cc2542008980a2c26fc7ecf82025-08-20T03:19:37ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962011-01-01201110.1155/2011/870252870252A Bayesian Hyperparameter Inference for Radon-Transformed Image ReconstructionHayaru Shouno0Madomi Yamasaki1Masato Okada2Department of Informatics, Graduate School of Informatics and Engineering, University of Electro-Communications, Chofugaoka 1-5-1, Chofu, Tokyo 182-8585, JapanDepartment of Informatics, Graduate School of Informatics and Engineering, University of Electro-Communications, Chofugaoka 1-5-1, Chofu, Tokyo 182-8585, JapanDivision of Transdisciplinary Science, Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, JapanWe develop a hyperparameter inference method for image reconstruction from Radon transform which often appears in the computed tomography, in the manner of Bayesian inference. Hyperparameters are often introduced in Bayesian inference to control the strength ratio between prior information and the fidelity to the observation. Since the quality of the reconstructed image is controlled by the estimation accuracy of these hyperparameters, we apply Bayesian inference into the filtered back-projection (FBP) reconstruction method with hyperparameters inference and demonstrate that the estimated hyperparameters can adapt to the noise level in the observation automatically. In the computer simulation, at first, we show that our algorithm works well in the model framework environment, that is, observation noise is an additive white Gaussian noise case. Then, we also show that our algorithm works well in the more realistic environment, that is, observation noise is Poissonian noise case. After that, we demonstrate an application for the real chest CT image reconstruction under the Gaussian and Poissonian observation noises.http://dx.doi.org/10.1155/2011/870252 |
| spellingShingle | Hayaru Shouno Madomi Yamasaki Masato Okada A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction International Journal of Biomedical Imaging |
| title | A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction |
| title_full | A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction |
| title_fullStr | A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction |
| title_full_unstemmed | A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction |
| title_short | A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction |
| title_sort | bayesian hyperparameter inference for radon transformed image reconstruction |
| url | http://dx.doi.org/10.1155/2011/870252 |
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