Image reconstruction for a general circle-plus trajectory

    Authors

    A. Katsevich

    Comments

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    Abbreviated Journal Title

    Inverse Probl.

    Keywords

    CONE-BEAM CT; TOMOGRAPHY; ALGORITHMS; PROJECTION; LINES; Mathematics, Applied; Physics, Mathematical

    Abstract

    We develop an exact filtered backprojection (FBP) algorithm for a general class of circle-plus trajectories, which consist of two components: C and L. The first component C, which is analogous to a circle of the traditional circle-plus trajectories, is essentially any closed ( e. g., not necessarily planar) continuous curve. The second component L is almost any continuous curve. The only condition is that L starts below C and ends above C. The distinctive feature of the new algorithm is that it does not depend on the global properties of L. When the source is located on L, the only thing one needs to know is how C projects onto the corresponding detector. The algorithm is especially convenient for the traditional circle-plus trajectories, which are implemented using a gantry and moving table. In this case we obtain a universal FBP algorithm, which is completely independent of how the table moves during the scan ( provided that the main condition on L is satisfied). The results of testing the algorithm on two circle + helix trajectories demonstrate good image quality.

    Journal Title

    Inverse Problems

    Volume

    23

    Issue/Number

    5

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    2223

    Last Page

    2230

    WOS Identifier

    WOS:000249735000025

    ISSN

    0266-5611

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