Multiplicative iterative algorithms for positive constrained reconstructions in emission and transmission tomography

Jun Ma*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

    1 Citation (Scopus)

    Abstract

    This paper introduces a multiplicative iterative (MI) algorithm for image reconstructions in tomography. This algorithm can accommodate objective functions deduced from different probability models for measurements. Poisson and Gaussian (for both emission and transmission scans), or shifted Poisson (for precorrected PET and X-ray CT), are examples of such measurement probability models. This MI algorithm is very easy to implement and respects the positivity constraint. Furthermore, an exact or approximate line search step can be easily incorporated into this algorithm so that the objective functions are guaranteed to increase during the iterations.

    Original languageEnglish
    Title of host publication2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, Proceedings, ISBI
    EditorsHabib Benali
    Place of PublicationPiscataway, NJ
    PublisherInstitute of Electrical and Electronics Engineers (IEEE)
    Pages1039-1042
    Number of pages4
    ISBN (Print)9781424420032
    DOIs
    Publication statusPublished - 2008
    Event2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI - Paris, France
    Duration: 14 May 200817 May 2008

    Publication series

    NameIEEE International Symposium on Biomedical Imaging
    PublisherIEEE
    ISSN (Print)1945-7928

    Other

    Other2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI
    CountryFrance
    CityParis
    Period14/05/0817/05/08

    Keywords

    • multiplicative iterative (MI) algorithm
    • emission and transmission tomography
    • line search
    • EM
    • ISRA
    • OPTIMIZATION

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