Exact Interior Reconstruction with Cone-Beam CT
Using the backprojection filtration (BPF) and filtered backprojection (FBP) approaches, respectively, we prove that with cone-beam CT the interior problem can be exactly solved by analytic continuation. The prior knowledge we assume is that a volume of interest (VOI) in an object to be reconstructe...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://dx.doi.org/10.1155/2007/10693 |
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| _version_ | 1832545345347780608 |
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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 the backprojection filtration (BPF) and filtered backprojection (FBP) approaches, respectively, we prove that with cone-beam CT the interior problem can be exactly solved by analytic continuation. The prior knowledge we assume is that a volume of interest (VOI) in an object to be reconstructed is known in a subregion of the VOI. Our derivations are based on the so-called generalized PI-segment (chord). The available projection onto convex set (POCS) algorithm and singular value decomposition (SVD) method can be applied to perform the exact interior reconstruction. These results have many implications in the CT field and can be extended to other tomographic modalities, such as SPECT/PET,
MRI. |
| format | Article |
| id | doaj-art-f9ccfe65c14945749a03bac51a95bc43 |
| institution | Kabale University |
| issn | 1687-4188 1687-4196 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Biomedical Imaging |
| spelling | doaj-art-f9ccfe65c14945749a03bac51a95bc432025-02-03T07:26:07ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962007-01-01200710.1155/2007/1069310693Exact Interior Reconstruction with Cone-Beam CTYangbo 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 the backprojection filtration (BPF) and filtered backprojection (FBP) approaches, respectively, we prove that with cone-beam CT the interior problem can be exactly solved by analytic continuation. The prior knowledge we assume is that a volume of interest (VOI) in an object to be reconstructed is known in a subregion of the VOI. Our derivations are based on the so-called generalized PI-segment (chord). The available projection onto convex set (POCS) algorithm and singular value decomposition (SVD) method can be applied to perform the exact interior reconstruction. These results have many implications in the CT field and can be extended to other tomographic modalities, such as SPECT/PET, MRI.http://dx.doi.org/10.1155/2007/10693 |
| spellingShingle | Yangbo Ye Hengyong Yu Ge Wang Exact Interior Reconstruction with Cone-Beam CT International Journal of Biomedical Imaging |
| title | Exact Interior Reconstruction with Cone-Beam CT |
| title_full | Exact Interior Reconstruction with Cone-Beam CT |
| title_fullStr | Exact Interior Reconstruction with Cone-Beam CT |
| title_full_unstemmed | Exact Interior Reconstruction with Cone-Beam CT |
| title_short | Exact Interior Reconstruction with Cone-Beam CT |
| title_sort | exact interior reconstruction with cone beam ct |
| url | http://dx.doi.org/10.1155/2007/10693 |
| work_keys_str_mv | AT yangboye exactinteriorreconstructionwithconebeamct AT hengyongyu exactinteriorreconstructionwithconebeamct AT gewang exactinteriorreconstructionwithconebeamct |