A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction
Joint Authors
Shouno, Hayaru
Okada, Masato
Yamasaki, Madomi
Source
International Journal of Biomedical Imaging
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Shouno, Hayaru& Yamasaki, Madomi& Okada, Masato. 2011. A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction. International Journal of Biomedical Imaging،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-504893
Modern Language Association (MLA)
Shouno, Hayaru…[et al.]. A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction. International Journal of Biomedical Imaging No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-504893
American Medical Association (AMA)
Shouno, Hayaru& Yamasaki, Madomi& Okada, Masato. A Bayesian Hyperparameter Inference for Radon-Transformed Image Reconstruction. International Journal of Biomedical Imaging. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-504893
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504893