A one-PI algorithm for helical trajectories that violate the convexity condition

    Authors

    M. Kapralov;A. Katsevich

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Inverse Probl.

    Keywords

    CONE-BEAM RECONSTRUCTION; IMAGE-RECONSTRUCTION; COMPUTED-TOMOGRAPHY; INVERSION ALGORITHM; VARIABLE PITCH; SPIRAL CT; PROJECTION; LINES; Mathematics, Applied; Physics, Mathematical

    Abstract

    We develop an exact filtered backprojection reconstruction algorithm for dynamic-pitch helical trajectories when the convexity condition is violated. The algorithm is a modification of the original inversion formula, which was proposed earlier by one of the authors for a constant-pitch helix. Two filtering lines are added to the algorithm to guarantee exactness. We also study the region where the algorithm applies. It does not extend all the way to the helix, but its size depends on the severity of the violation. If the violation is not very strong, then the region is sufficiently large. Results of numerical experiments are presented.

    Journal Title

    Inverse Problems

    Volume

    22

    Issue/Number

    6

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    2123

    Last Page

    2143

    WOS Identifier

    WOS:000242449500013

    ISSN

    0266-5611

    Share

    COinS