On quasi-local inversion of spiral CT data

    Authors

    A. Katsevich

    Abbreviated Journal Title

    Math. Meth. Appl. Sci.

    Keywords

    CONE-BEAM RECONSTRUCTION; X-RAY TRANSFORM; TOMOGRAPHY; ALGORITHM; BACKPROJECTION; Mathematics, Applied

    Abstract

    Let f be a function supported in an open set U, which is located strictly inside the spiral trajectory C of the X-ray source. Proposed is an algorithm for computing a function f(0) which retains all the sharp features off: More precisely, if f epsilon H-0(a)(U), then f - f(0) epsilon H-loc(a + 1)(U). The algorithm is quasi-local in the sense that for each reconstruction point x one uses the cone beam data corresponding to X-ray sources y epsilon C located close to x. The detector array is two-dimensional, but of limited extent along the axis of the spiral. Stability of the algorithm is studied and results of numerical testing on the simulated data are presented. Copyright (C) 2000 John Wiley & Sons, Ltd.

    Journal Title

    Mathematical Methods in the Applied Sciences

    Volume

    23

    Issue/Number

    3

    Publication Date

    1-1-2000

    Document Type

    Article

    Language

    English

    First Page

    271

    Last Page

    297

    WOS Identifier

    WOS:000085080600004

    ISSN

    0170-4214

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