Exact Interior Reconstruction with Cone-Beam CT

Ye, Yangbo; Yu, Hengyong; Wang, Ge

doi:https://doi.org/10.1155/2007/10693

International Journal of Biomedical Imaging

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Research Article | Open Access

Volume 2007 | Article ID 010693 | https://doi.org/10.1155/2007/10693

Exact Interior Reconstruction with Cone-Beam CT

Yangbo Ye,¹Hengyong Yu,²and Ge Wang²

Academic Editor: Lizhi Sun

Received20 Nov 2007

Accepted10 Dec 2007

Published23 Jan 2008

Abstract

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.

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Copyright

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.

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