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Proceedings Paper

Minimum detection window and inter-helix PI-line with triple-source helical cone-beam scanning
Author(s): Jun Zhao; Ming Jiang; Tiange Zhuang; Ge Wang
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Paper Abstract

In this paper, we propose a helical cone-beam scanning configuration of triple symmetrically located X-ray sources, and study minimum detection windows to extend the traditional Tam-Danielsson window for exact image reconstruction. For three longitudinally displaced scanning helices of the same radius and a source location on any helix, the corresponding minimum detection window is bounded by the most adjacent turns respectively selected from the other two helices. The height of our proposed minimum detector window is only 1/3 of that in the single helix case. Associated with proposed minimum detection windows, we define the inter-helix PI-line and establish its existence and uniqueness property: through any point inside the triple helices, there exists one and only one inter-helix PI-line for any pair of the helices. Furthermore, we prove that cone-beam projection data from such a triple-source helical scan are sufficient for exact image reconstruction. Although there are certain redundancies among those projection data, the redundant part cannot be removed by shrinking the detector window without violating the data sufficiency condition. Those results are important components for development of exact or quasi-exact image reconstruction algorithms in the case of triple-source helical cone-beam scanning in the future.

Paper Details

Date Published: 26 October 2004
PDF: 12 pages
Proc. SPIE 5535, Developments in X-Ray Tomography IV, (26 October 2004); doi: 10.1117/12.560256
Show Author Affiliations
Jun Zhao, Shanghai Jiao Tong Univ. (China)
Ming Jiang, Peking Univ. (China)
Tiange Zhuang, Shanghai Jiao Tong 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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