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Proceedings Paper

Overview of reconstruction algorithms for exact cone-beam tomography
Author(s): Rolf Clackdoyle; Michel Defrise
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Paper Abstract

An overview of the current state of cone-beam tomography using `exact' analytic methods is presented. The fundamental theories of Smith and Grangeat are described as the even and odd parts of generalized unifying formulation. Various versions of the orbit condition for data sufficiency are reviewed, with examples to illustrate the relative restrictiveness and applicability to situations with truncated projection data. Existing strategies for reconstruction algorithms, and methods of handling redundant data are summarized. Finally a brief discussion of `equivalent methods' is included, with a demonstration that Tuy's inversion formula is equivalent to Grangeat's method.

Paper Details

Date Published: 8 July 1994
PDF: 12 pages
Proc. SPIE 2299, Mathematical Methods in Medical Imaging III, (8 July 1994); doi: 10.1117/12.179253
Show Author Affiliations
Rolf Clackdoyle, Univ. of Utah (United States)
Michel Defrise, Free Univ. of Brussels (Belgium)


Published in SPIE Proceedings Vol. 2299:
Mathematical Methods in Medical Imaging III
Fred L. Bookstein; James S. Duncan; Nicholas Lange; David C. Wilson, Editor(s)

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