Regularization methods for inverse problems in X-ray tomography

Valeriy Titarenko, Robert Bradley, Christopher Martin, Philip J. Withers, Sofya Titarenko

    Research output: Chapter in Book/Conference proceedingChapter

    Abstract

    Scintillators, optical systems and CCD cameras used to record projections also blur them. Therefore the recorded projections are smooth functions of spatial variables. This can be used to construct special methods to suppress ring artefacts. Several such algorithms based on ideas of the theory of inverse and ill-posed problems and using various forms of Tikhonov functional are proposed: a fast ring artefact suppression algorithm in a case of homogeneous specimens and its modified versions for anisotropically attenuated samples. © 2010 Copyright SPIE - The International Society for Optical Engineering.
    Original languageEnglish
    Title of host publicationProceedings of SPIE - The International Society for Optical Engineering|Proc SPIE Int Soc Opt Eng
    Volume7804
    DOIs
    Publication statusPublished - 2010
    EventDevelopments in X-Ray Tomography VII - San Diego, CA
    Duration: 1 Jul 2010 → …

    Publication series

    NameProceedings of SPIE-The International Society for Optical Engineering

    Conference

    ConferenceDevelopments in X-Ray Tomography VII
    CitySan Diego, CA
    Period1/07/10 → …

    Keywords

    • a priori information
    • regularization
    • ring artefacts

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