Discrete tomographic reconstruction of 2D polycrystal orientation maps from X-ray diffraction projections using Gibbs priors

L. Rodek, E. Knudsen, H.F. Poulsen, G.T. Herman

    Research output: Contribution to journalConference articleResearch

    Abstract

    The determination of crystalline structures is a demanding and fundamental task of crystallography. This paper offers a new approach for rendering a 2D grain map of a polycrystal based on an orientation map reconstructed from X-ray diffraction patterns. The orientation map is produced by a Bayesian discrete tomographic algorithm, applying image-modelling Gibbs priors and a homogeneity condition. The optimization of the objective function is accomplished via the Gibbs Sampler in conjunction with simulated annealing. In order to express the structure of the orientation map, the similarity of orientations is defined by means of quaternions.
    Original languageEnglish
    JournalElectronic Notes in Discrete Mathematics
    Volume20
    Pages (from-to)439-453
    ISSN1571-0653
    DOIs
    Publication statusPublished - 1 Jul 2005
    EventWorkshop on Discrete Tomography and its Applications - City University of New York, New York, United States
    Duration: 13 Jun 200515 Jun 2005

    Workshop

    WorkshopWorkshop on Discrete Tomography and its Applications
    LocationCity University of New York
    CountryUnited States
    CityNew York
    Period13/06/200515/06/2005

    Keywords

    • discrete tomography
    • simulated annealing
    • optimization
    • crystallography
    • polycrystal
    • orientation map
    • X-ray diffraction
    • quaternion

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