An improved exact filtered backprojection algorithm for spiral computed tomography

    Authors

    A. Katsevich

    Comments

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    Abbreviated Journal Title

    Adv. Appl. Math.

    Keywords

    cone-beam; spiral tomography; theoretically exact reconstruction; filtered back-projection algorithm; INVERSION ALGORITHM; CT; Mathematics, Applied

    Abstract

    Proposed is a theoretically exact formula for inversion of data obtained by a spiral computed tomography scan with a two-dimensional detector array. The detector array is supposed to be of limited extent in the axial direction. The main property of the formula is that it can be implemented in a truly filtered backprojection fashion. First, one performs shift-invariant filtering of a derivative of the cone beam projections, and, second, the result is back-projected in order to form an image. Compared with an earlier reconstruction algorithm proposed by the author, the new one is two times faster, requires a smaller detector array, and does not impose restrictions on how big the patient is inside the gantry. Results of numerical experiments are presented. (C) 2003 Elsevier Inc. All rights reserved.

    Journal Title

    Advances in Applied Mathematics

    Volume

    32

    Issue/Number

    4

    Publication Date

    1-1-2004

    Document Type

    Article

    Language

    English

    First Page

    681

    Last Page

    697

    WOS Identifier

    WOS:000221245100004

    ISSN

    0196-8858

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