Ye, YangboYu, HengyongWei, YuchuanWang, Ge2017-09-182017-09-182007-06-17Yangbo Ye, Hengyong Yu, Yuchuan Wei, and Ge Wang, “A General Local Reconstruction Approach Based on a Truncated Hilbert Transform,” International Journal of Biomedical Imaging, vol. 2007, Article ID 63634, 8 pages, 2007. doi:10.1155/2007/63634http://hdl.handle.net/10919/79076Exact image reconstruction from limited projection data has been a central topic in the computed tomography (CT) field. In this paper, we present a general region-of-interest/volume-of-interest (ROI/VOI) reconstruction approach using a truly truncated Hilbert transform on a line-segment inside a compactly supported object aided by partial knowledge on one or both neighboring intervals of that segment. Our approach and associated new data sufficient condition allows the most flexible ROI/VOI image reconstruction from the minimum account of data in both the fan-beam and cone-beam geometry. We also report primary numerical simulation results to demonstrate the correctness and merits of our finding. Our work has major theoretical potentials and innovative practical applications.application/pdfenCreative Commons Attribution 4.0 InternationalArticle - Refereed2017-09-18Copyright © 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.https://doi.org/10.1155/2007/63634