Journal article
A General Local Reconstruction Approach Based on a Truncated Hilbert Transform
International journal of biomedical imaging, Vol.2007(2007), pp.1-8
01/01/2007
DOI: 10.1155/2007/63634
PMCID: PMC1987387
PMID: 18256734
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.
Details
- Title: Subtitle
- A General Local Reconstruction Approach Based on a Truncated Hilbert Transform
- Creators
- Yangbo Ye - University of IowaHengyong Yu - Virginia TechYuchuan Wei - Wake Forest UniversityGe Wang - Virginia Tech
- Resource Type
- Journal article
- Publication Details
- International journal of biomedical imaging, Vol.2007(2007), pp.1-8
- DOI
- 10.1155/2007/63634
- PMID
- 18256734
- PMCID
- PMC1987387
- NLM abbreviation
- Int J Biomed Imaging
- ISSN
- 1687-4188
- eISSN
- 1687-4196
- Publisher
- Hindawi Publishing Corporation
- Grant note
- DOI: 10.13039/100000070, name: National Institute of Biomedical Imaging and Bioengineering, award: EB002667, EB004287
- Language
- English
- Date published
- 01/01/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984240765302771
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