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Article type: Research Article
Authors: Zhao, Shuangren | Yang, Kang | Jiang, Dazong | Yang, Xintie
Affiliations: Doubletask North York, Ontario, Canada | University of Toronto, Toronto, Canada | Xi'an Jiao Tong University, Xi'an, China | Northwestern Poly Technical University Xi'an, Xi'an, China
Note: [] Corresponding author: Shuangren Zhao, 113 Mintwood Dr., North York, Ontario M2M 3A6, Canada. E-mail: shrzhao@rogers.com
Abstract: Truncated projections can arise from a detector with a limited field of view (LFOV). Truncation artifacts can be reduced through extrapolation methods; however the reconstructed images with extrapolation are often over-corrected or under-corrected. Recently, an iterative reconstruction-reprojection algorithm was developed, which incorporated extrapolation with iterative algorithm. It gave the possibility to better reduce truncation artifacts compared to using the extrapolation method alone. This article builds a theoretic foundation for the above iterative reconstruction-reprojection algorithm. The theoretic foundation is suitable to parallel-beam, fan-beam and cone-beam computed tomography(CT). Two assumptions are summarized from the CT system. Then, a truncation-artifact-free solution for the problem of LFOV is derived from these assumptions. The solution contains a "local inverse" of matrix. The local inverse of a matrix is defined using the sub-matrix and its general inverse. The solution can be approximately implemented as the iterative reconstruction-reprojection algorithm which is just the algorithm mentioned above.
Keywords: Artifact, truncation, image, reconstruction, projection, extrapolation, LFOV, tomography, local, inverse, CT, SPECT, PET
DOI: 10.3233/XST-2010-0279
Journal: Journal of X-Ray Science and Technology, vol. 19, no. 1, pp. 69-90, 2011
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