Exact Interior Reconstruction from Truncated Limited-Angle Projection Data
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 sho...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://dx.doi.org/10.1155/2008/427989 |
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| _version_ | 1832565136256139264 |
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| author | Yangbo Ye Hengyong Yu Ge Wang |
| author_facet | Yangbo Ye Hengyong Yu Ge Wang |
| author_sort | Yangbo Ye |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-ee94ea4fbd914233a8e45e86359dc2d4 |
| institution | Kabale University |
| issn | 1687-4188 1687-4196 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Biomedical Imaging |
| spelling | doaj-art-ee94ea4fbd914233a8e45e86359dc2d42025-02-03T01:09:27ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962008-01-01200810.1155/2008/427989427989Exact Interior Reconstruction from Truncated Limited-Angle Projection DataYangbo Ye0Hengyong Yu1Ge Wang2Department of Mathematics, University of Iowa, Iowa City, IA 52242, USACT Laboratory, Biomedical Imaging Division, VT-WFU School of Biomedical Engineering, Virginia Tech, Blacksburg, VA 24061, USACT Laboratory, Biomedical Imaging Division, VT-WFU School of Biomedical Engineering, Virginia Tech, Blacksburg, VA 24061, USAUsing 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).http://dx.doi.org/10.1155/2008/427989 |
| spellingShingle | Yangbo Ye Hengyong Yu Ge Wang Exact Interior Reconstruction from Truncated Limited-Angle Projection Data International Journal of Biomedical Imaging |
| title | Exact Interior Reconstruction from Truncated Limited-Angle Projection Data |
| title_full | Exact Interior Reconstruction from Truncated Limited-Angle Projection Data |
| title_fullStr | Exact Interior Reconstruction from Truncated Limited-Angle Projection Data |
| title_full_unstemmed | Exact Interior Reconstruction from Truncated Limited-Angle Projection Data |
| title_short | Exact Interior Reconstruction from Truncated Limited-Angle Projection Data |
| title_sort | exact interior reconstruction from truncated limited angle projection data |
| url | http://dx.doi.org/10.1155/2008/427989 |
| work_keys_str_mv | AT yangboye exactinteriorreconstructionfromtruncatedlimitedangleprojectiondata AT hengyongyu exactinteriorreconstructionfromtruncatedlimitedangleprojectiondata AT gewang exactinteriorreconstructionfromtruncatedlimitedangleprojectiondata |