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Proceedings Paper

Exact reconstruction for cone-beam scanning along nonstandard spirals and other curves
Author(s): Yangbo Ye; Shiying Zhao; Hengyong Yu; Ge Wang
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Paper Abstract

In this article we consider cone-beam CT projections along a nonstandard 3-D spiral with variable radius and variable pitch. Specifically, we generalize an exact image reconstruction formula by Zou and Pan (2004a) and (2004b) to the case of nonstandard spirals, by giving a new, analytic proof of the reconstruction formula. Our proof is independent of the shape of the spiral, as long as the object is contained in a region inside the spiral, where there is a PI line passing through any interior point. Our generalized reconstruction formula can also be applied to much more general situations, including cone-beam scanning along standard (Pack, et al. 2004) and nonstandard saddle curves, and any smooth curve from one endpoint of a line segment to the other endpoint, for image reconstruction of that line segment. In other words, our results can be regarded as a generalization of Orlov's classical papers (1975) to cone-beam scanning.

Paper Details

Date Published: 26 October 2004
PDF: 8 pages
Proc. SPIE 5535, Developments in X-Ray Tomography IV, (26 October 2004); doi: 10.1117/12.559087
Show Author Affiliations
Yangbo Ye, Univ. of Iowa (United States)
Shiying Zhao, Univ. of Iowa (United States)
Hengyong Yu, Hangzhou Dianzi Univ. (China)
Ge Wang, Univ. of Iowa (United States)

Published in SPIE Proceedings Vol. 5535:
Developments in X-Ray Tomography IV
Ulrich Bonse, Editor(s)

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