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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://dx.doi.org/10.1155/2007/63634 |
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| _version_ | 1832562971524464640 |
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| author | Yangbo Ye Hengyong Yu Yuchuan Wei Ge Wang |
| author_facet | Yangbo Ye Hengyong Yu Yuchuan Wei Ge Wang |
| author_sort | Yangbo Ye |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b85bbd4b37dc49689a0e0d30cd977e4b |
| 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-b85bbd4b37dc49689a0e0d30cd977e4b2025-02-03T01:21:18ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962007-01-01200710.1155/2007/6363463634A General Local Reconstruction Approach Based on a Truncated Hilbert TransformYangbo Ye0Hengyong Yu1Yuchuan Wei2Ge Wang3Department 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, Wake Forest University, Winston-Salem, NC 27157, USACT Laboratory, Biomedical Imaging Division, VT-WFU School of Biomedical Engineering, Virginia Tech, Blacksburg, VA 24061, USAExact 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.http://dx.doi.org/10.1155/2007/63634 |
| spellingShingle | Yangbo Ye Hengyong Yu Yuchuan Wei Ge Wang A General Local Reconstruction Approach Based on a Truncated Hilbert Transform International Journal of Biomedical Imaging |
| title | A General Local Reconstruction Approach Based on a Truncated Hilbert Transform |
| title_full | A General Local Reconstruction Approach Based on a Truncated Hilbert Transform |
| title_fullStr | A General Local Reconstruction Approach Based on a Truncated Hilbert Transform |
| title_full_unstemmed | A General Local Reconstruction Approach Based on a Truncated Hilbert Transform |
| title_short | A General Local Reconstruction Approach Based on a Truncated Hilbert Transform |
| title_sort | general local reconstruction approach based on a truncated hilbert transform |
| url | http://dx.doi.org/10.1155/2007/63634 |
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