On iterative Bayes algorithms for emission tomography

Ma Jun

doi:10.1109/TNS.2008.924065

On iterative Bayes algorithms for emission tomography

Ma Jun^*

^*Corresponding author for this work

Research output: Contribution to journal › Article

2 Citations (Scopus)

3 Downloads (Pure)

Abstract

In this paper we formulate a new approach to medical image reconstruction from projections in emission tomography. This approach conceptually differs from the traditional methods such as filtered backprojection, maximum likelihood or maximum penalized likelihood. Similar to the Richardson-Lucy algorithm ([1], [2]), our method develops directly from the Bayes formula with the final result being an iterative algorithm, for which the maximum likelihood expectation-maximization of [3] (or [4]) is a special case. Although there are different ways to enforce smoothness in the reconstructions using this method, in this paper we opt to focus only on the way which smoothes the camera bin measurements before reconstruction. In fact, this method can be explicated as maximizing a special penalized log-likelihood function. Its theoretical properties are also analyzed in the paper.

Original language	English
Article number	4545158
Pages (from-to)	953-966
Number of pages	14
Journal	IEEE Transactions on Nuclear Science
Volume	55
Issue number	3
DOIs	https://doi.org/10.1109/TNS.2008.924065
Publication status	Published - Jun 2008

Bibliographical note

Copyright 2008 IEEE. Reprinted from IEEE transactions on nuclear science. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Macquarie Universityâ€™s products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

Keywords

EM
Iterative Bayes algorithm
MPL
Smoothed sinogram

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10.1109/TNS.2008.924065

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Jun, M. (2008). On iterative Bayes algorithms for emission tomography. IEEE Transactions on Nuclear Science, 55(3), 953-966. [4545158]. https://doi.org/10.1109/TNS.2008.924065

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