Conference proceeding
Exact reconstruction for cone-beam scanning along nonstandard spirals and other curves
Proceedings of SPIE, Vol.5535(1), pp.293-300
Developments in X-Ray Tomography IV
10/26/2004
DOI: 10.1117/12.559087
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.
Details
- Title: Subtitle
- Exact reconstruction for cone-beam scanning along nonstandard spirals and other curves
- Creators
- Yangbo Ye - University of IowaShiying Zhao - University of IowaHengyong Yu - Hangzhou Dianzi UniversityGe Wang - University of Iowa
- Resource Type
- Conference proceeding
- Publication Details
- Proceedings of SPIE, Vol.5535(1), pp.293-300
- Conference
- Developments in X-Ray Tomography IV
- DOI
- 10.1117/12.559087
- ISSN
- 0277-786X
- Language
- English
- Date published
- 10/26/2004
- Academic Unit
- Mathematics
- Record Identifier
- 9984241148102771
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