Nonlinear problems in fast tomography

William R.B. Lionheart, Sophia B. Coban

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


    Even the simplest problem of monochromatic scalar absorption tomography becomes non linear when the source and detectors elements are no longer treated as points. This has variously been described as non-linear partial volume effect or exponential edge effect. We show that the nonlinearity is significant in practical fast tomography systems such as the Bergen gamma tomography system used for inspection of flows in pipes. We describe an iterative reconstruction algorithm for reconstruction using this model and present numerical results. Other non- linear problems arise in rich tomography methods and as a simple example we describe the non-Ableian problem of neutron spin tomography used for imaging magnetic domains.

    Original languageEnglish
    Title of host publicationDevelopments in X-Ray Tomography XI
    EditorsGe Wang, Bert Muller
    ISBN (Electronic)9781510612396
    Publication statusPublished - 1 Jan 2017
    EventDevelopments in X-Ray Tomography XI 2017 - San Diego, United States
    Duration: 8 Aug 201710 Aug 2017


    ConferenceDevelopments in X-Ray Tomography XI 2017
    Country/TerritoryUnited States
    CitySan Diego


    • Fast tomography
    • Non-linearity
    • X-ray tomography


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