Journal article
Exact Interior Reconstruction from Truncated Limited-Angle Projection Data
International journal of biomedical imaging, Vol.2008(1), pp.427989-427989
01/01/2008
DOI: 10.1155/2008/427989
PMCID: PMC2383990
PMID: 18490957
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).
Details
- Title: Subtitle
- Exact Interior Reconstruction from Truncated Limited-Angle Projection Data
- Creators
- Yangbo Ye - University of IowaHengyong Yu - Virginia TechGe Wang - Virginia Tech
- Resource Type
- Journal article
- Publication Details
- International journal of biomedical imaging, Vol.2008(1), pp.427989-427989
- DOI
- 10.1155/2008/427989
- PMID
- 18490957
- PMCID
- PMC2383990
- 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, EB007288
- Language
- English
- Date published
- 01/01/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984240776602771
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