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Subtitle:
Article type: Research Article
Authors: Yu, Hengyonga; * | Wang, Geb | Yang, Jianshengc | Pack, Jed D.d | Jiang, Mingc | De Man, Brunod
Affiliations: [a] Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA | [b] Biomedical Imaging Center, Center for Biotechnology and Interdisciplinary Studies, Department of Biomedical Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA | [c] LMAM, School of Mathematical Sciences, Peking University, Beijing, China | [d] CT Systems and Applications Laboratory, GE Global Research Center, Niskayuna, NY, USA
Correspondence: [*] Corresponding author: Hengyong Yu, Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA 01854, USA. E-mail:hengyong-yu@ieee.org
Abstract: It is well known that CT projections are redundant. Over the past decades, significant efforts have been devoted to characterize the data redundancy in different aspects. Very recently, Clackdoyle and Desbat reported a new integral-type data consistency condition (DCC) for truncated 2D parallel-beam projections, which can be applied to a region inside a field of view (FOV) but outside of the convex hull of the compact support of an object. Inspired by their work, here we derive a more general condition for 2D fan-beam geometry with a general scanning trajectory. This extended DCC is verified with simulated projections of the Shepp-Logan phantom and a clinically collected sinogram. Then, we demonstrate an application of the proposed DCC.
Keywords: Data consistency condition, fan-beam geometry, truncated projections, general scanning trajectory, interior problem, motion artifact reduction
DOI: 10.3233/XST-150515
Journal: Journal of X-Ray Science and Technology, vol. 23, no. 5, pp. 627-638, 2015
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