Singular value decomposition for the truncated Hilbert transform: part II

    Authors

    A. Katsevich

    Comments

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    Abbreviated Journal Title

    Inverse Probl.

    Keywords

    IMAGE-RECONSTRUCTION; Mathematics, Applied; Physics, Mathematical

    Abstract

    Hilbert transform is a very important tool in computed tomography. Image reconstruction from truncated tomographic data can be reduced to the problem of inverting the Hilbert transform (H(14)phi)(y) := 1/pi integral(a4)(a1) phi(x)/x-y dx = psi(y) knowing psi on the interval [a(2), a(3)], where a(1) < a(2) < a(3) < a(4). In this paper, we obtain a singular value decomposition for the operator H(14).

    Journal Title

    Inverse Problems

    Volume

    27

    Issue/Number

    7

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    7

    WOS Identifier

    WOS:000291794200006

    ISSN

    0266-5611

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