A General Local Reconstruction Approach Based on a Truncated Hilbert Transform
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 com...
| Main Authors: | , , , |
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| Format: | Online |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2007
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1987387/ |
| Summary: | 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. |
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