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International Journal of Biomedical Imaging - Volume 2007 2007, Article ID 10693, 5 pages

Research Article

Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA

CT Laboratory, Biomedical Imaging Division, VT-WFU School of Biomedical Engineering, Virginia Tech, Blacksburg, VA 24061, USA

Received 20 November 2007; Accepted 10 December 2007

Academic Editor: Lizhi Sun

Copyright © 2007 Yangbo Ye et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Using the backprojection filtration BPF and filtered backprojection FBP approaches, respectively, we prove that with cone-beam CT the interior problem can be exactly solved by analytic continuation. The prior knowledge we assume is that a volume of interest VOI in an object to be reconstructed is known in a subregion of the VOI. Our derivations are based on the so-called generalized PI-segment chord. The available projection onto convex set POCS algorithm and singular value decomposition SVD method can be applied to perform the exact interior reconstruction. These results have many implications in the CT field and can be extended to other tomographic modalities, such as SPECT-PET, MRI.

Autor: Yangbo Ye, Hengyong Yu, and Ge Wang

Fuente: https://www.hindawi.com/


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