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Authors: Rafael Molina 1 ; 1 ; Antonio López 1 and Aggelos K. Katsaggelos 2

Affiliations: 1 Universidad de Granada, Spain ; 2 Northwestern University, United States

Keyword(s): Image reconstruction, parameter estimation, Bayesian framework, variational methods, Tomography images.

Abstract: Following the Bayesian framework we propose a method to reconstruct emission tomography images which uses gamma mixture prior and variational methods to approximate the posterior distribution of the unknown parameters and image instead of estimating them by using the Evidence Analysis or alternating between the estimation of parameters and image (Iterated Conditional Mode (ICM)) approach. By analyzing the posterior distribution approximation we can examine the quality of the proposed estimates. The method is tested on real Single Positron Emission Tomography (SPECT) images.

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Paper citation in several formats:
Molina, R.; López, A.; Manuel Martín, J. and K. Katsaggelos, A. (2007). VARIATIONAL POSTERIOR DISTRIBUTION APPROXIMATION IN BAYESIAN EMISSION TOMOGRAPHY RECONSTRUCTION USING A GAMMA MIXTURE PRIOR. In Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - Bayesian Approach for Inverse Problems in Computer Vision; ISBN 978-972-8865-75-7; ISSN 2184-4321, SciTePress, pages 165-173. DOI: 10.5220/0002066001650173

@conference{bayesian approach for inverse problems in computer vision07,
author={Rafael Molina. and Antonio López. and José {Manuel Martín}. and Aggelos {K. Katsaggelos}.},
title={VARIATIONAL POSTERIOR DISTRIBUTION APPROXIMATION IN BAYESIAN EMISSION TOMOGRAPHY RECONSTRUCTION USING A GAMMA MIXTURE PRIOR},
booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - Bayesian Approach for Inverse Problems in Computer Vision},
year={2007},
pages={165-173},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002066001650173},
isbn={978-972-8865-75-7},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications (VISAPP 2007) - Bayesian Approach for Inverse Problems in Computer Vision
TI - VARIATIONAL POSTERIOR DISTRIBUTION APPROXIMATION IN BAYESIAN EMISSION TOMOGRAPHY RECONSTRUCTION USING A GAMMA MIXTURE PRIOR
SN - 978-972-8865-75-7
IS - 2184-4321
AU - Molina, R.
AU - López, A.
AU - Manuel Martín, J.
AU - K. Katsaggelos, A.
PY - 2007
SP - 165
EP - 173
DO - 10.5220/0002066001650173
PB - SciTePress