Statistical algorithms for large systems of linear equations in medical imaging

H. Malcolm Hudson*, Brian Hutton

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    A review is given on the properties of statistical reconstructions and some emerging approaches. Topics discussed are as follows: SV-EM and Simultaneous Multiplicative (SMART) algorithms as general solutions for linear systems; emission and transmission models for medical imaging; known results for consistent and inconsistent linear systems; and new developments. Further, the simplicity and generality of algebraic approaches to iterative solution are demonstrated in recent applications that include reconstruction with dual-energy emitters and the use of uncoupled EM-PIRA for reconstructing dynamically changing sequences of projection images.

    Original languageEnglish
    Pages (from-to)77-92
    Number of pages16
    JournalProceedings of SPIE - The International Society for Optical Engineering
    Publication statusPublished - 1999


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