A General Local Reconstruction Approach Based on a Truncated Hilbert Transform
Open Access
- 1 January 2007
- journal article
- research article
- Published by Hindawi Limited in International Journal of Biomedical Imaging
- Vol. 2007, 1-8
- https://doi.org/10.1155/2007/63634
Abstract
Exact 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.Keywords
Funding Information
- National Institute of Biomedical Imaging and Bioengineering (EB002667, EB004287)
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