Improved cone beam local tomography

    Authors

    A. Katsevich

    Comments

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    Abbreviated Journal Title

    Inverse Probl.

    Keywords

    X-RAY TRANSFORM; RECONSTRUCTION; Mathematics, Applied; Physics, Mathematical

    Abstract

    In this paper, we study cone beam local tomography (LT). A new LT function g is proposed. It is shown that g contains non-local artefacts, but their strength is an order of magnitude smaller than those of the previously known LT function g(Lambda) of Louis A K and Maass P (1993 IEEE Trans. Med. Imaging 12 764-69). We also investigate LT reconstruction in the dynamic case, i.e. when the object f being scanned is undergoing some changes during the scan. Properties of g are studied, the notion of visible singularities is suitably generalized, and a relationship between the wave fronts of f and g is established. It is shown that the changes in f do not cause any smearing of the singularities of g. Numerical implementation of the new LT function is discussed, and results of numerical experiments are presented.

    Journal Title

    Inverse Problems

    Volume

    22

    Issue/Number

    2

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    627

    Last Page

    643

    WOS Identifier

    WOS:000237030900017

    ISSN

    0266-5611

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