Exact Interior Reconstruction from Truncated Limited-Angle Projection Data

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Date
2008-05-06
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Hindawi
Abstract

Using filtered backprojection (FBP) and an analytic continuation approach, we prove that exact interior reconstruction is possible and unique from truncated limited-angle projection data, if we assume a prior knowledge on a subregion or subvolume within an object to be reconstructed. Our results show that (i) the interior region-of-interest (ROI) problem and interior volume-of-interest (VOI) problem can be exactly reconstructed from a limited-angle scan of the ROI/VOI and a 180 degree PI-scan of the subregion or subvolume and (ii) the whole object function can be exactly reconstructed from nontruncated projections from a limited-angle scan. These results improve the classical theory of Hamaker et al. (1980).

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Citation
Yangbo Ye, Hengyong Yu, and Ge Wang, “Exact Interior Reconstruction from Truncated Limited-Angle Projection Data,” International Journal of Biomedical Imaging, vol. 2008, Article ID 427989, 6 pages, 2008. doi:10.1155/2008/427989