On iterative Bayes algorithms for emission tomography

Ma Jun*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    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 languageEnglish
    Article number4545158
    Pages (from-to)953-966
    Number of pages14
    JournalIEEE Transactions on Nuclear Science
    Volume55
    Issue number3
    DOIs
    Publication statusPublished - 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 University’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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