Factorization of the reconstruction problem in circular cone-beam tomography and its use for stability analysis
Dennerlein F, Noo F, Hornegger J, Lauritsch G (2007)
Publication Type: Conference contribution, Conference Contribution
Publication year: 2007
Journal
Original Authors: Dennerlein F., Noo F., Hornegger J., Lauritsch G.
Book Volume: 5
Pages Range: 2908-2912
Event location: San Diego, CA
Journal Issue: null
DOI: 10.1109/NSSMIC.2006.356485
Abstract
In this article, we propose a novel factorization of the circular cone-beam (CB) reconstruction problem into a set of independent 2D inversion problems. This factorization is established in the context of modern two-step Hilbert reconstruction methods by combining the ideas of an empirically derived CB inversion approach with a firm and exact theory. We were able to accurately discretize these 2D inversion problems, which allows a detailed investigation of CB reconstruction by using the Singular Value Decomposition and also allows efficient iterative reconstruction approaches. The introduced theory is applied for preliminary studies of the stability of circular CB tomography assuming a short object. We analyzed, how the radius of the circular scan affects the stability and investigated the effect of an additional linear scan onto the condition of the problem. Numerical results are presented for a disc phantom. © 2006 IEEE.
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Germany (DE)How to cite
APA:
Dennerlein, F., Noo, F., Hornegger, J., & Lauritsch, G. (2007). Factorization of the reconstruction problem in circular cone-beam tomography and its use for stability analysis. In Proceedings of the 2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD (pp. 2908-2912). San Diego, CA.
MLA:
Dennerlein, Frank, et al. "Factorization of the reconstruction problem in circular cone-beam tomography and its use for stability analysis." Proceedings of the 2006 IEEE Nuclear Science Symposium, Medical Imaging Conference and 15th International Workshop on Room-Temperature Semiconductor X- and Gamma-Ray Detectors, Special Focus Workshops, NSS/MIC/RTSD, San Diego, CA 2007. 2908-2912.
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