Resolving ambiguities in reconstructed grain maps using discrete tomography

A. Alpers, E. Knudsen, H.F. Poulsen, G.T. Herman

    Research output: Contribution to journalConference articleResearchpeer-review


    The so-called 3DXRD microscope, implemented at the European Synchrotron Radiation Facility in Grenoble, France, utilizes the principle of X-ray diffraction for mapping the crystalline grains within hard materials such as metals or ceramics. Present algorithms, using continuous models, roughly reconstruct the image from diffraction data, but they are often unable to assign unambiguous values to all pixels. We present an approach that resolves these ambiguous pixels by using a Monte Carlo technique that exploits the discrete nature of the problem and utilizes proven methods of discrete tomography. Based on simulations we show that most ambiguities can be successfully resolved.
    Original languageEnglish
    JournalElectronic Notes in Discrete Mathematics
    Pages (from-to)419-437
    Publication statusPublished - 2005
    EventWorkshop on Discrete Tomography and its Applications - City University of New York, New York, United States
    Duration: 13 Jun 200515 Jun 2005


    WorkshopWorkshop on Discrete Tomography and its Applications
    LocationCity University of New York
    Country/TerritoryUnited States
    CityNew York


    • Discrete tomography
    • Polycrystals
    • Crystallography
    • Gibbs distribution
    • X-ray diffraction
    • Image restoration


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