A note on computing the derivative at a constant direction

    Authors

    A. Katsevich

    Comments

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    Abbreviated Journal Title

    Phys. Med. Biol.

    Keywords

    INVERSION ALGORITHM; BEAM; CT; Engineering, Biomedical; Radiology, Nuclear Medicine & Medical Imaging

    Abstract

    The derivative at constant direction is frequently used in inversion of cone-beam data. Several algorithms for computing the derivative have been proposed in the literature. The best algorithm to date has been proposed recently by Noo et al (2007 Phys. Med. Biol. 52 5393-414). In this note we propose a new, simple and efficient formula for computing the derivative. Numerical experiments with helical CT show that our formula and the one of Noo et al provide fairly similar spatial resolution and noise stability, even though the new formula is more efficient and easier to implement.

    Journal Title

    Physics in Medicine and Biology

    Volume

    56

    Issue/Number

    4

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    N53

    Last Page

    N61

    WOS Identifier

    WOS:000286800800021

    ISSN

    0031-9155

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