Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning Reconstruction
Recently, 3D image fusion reconstruction using a FDK algorithm along threeorthogonal circular isocentric orbits has been proposed. On the other hand, we know that 3D image reconstruction based on three-orthogonal circular isocentric orbits is sufficient in the sense of Tuy data sufficiency condition...
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MDPI AG
2009-06-01
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Series: | Sensors |
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Online Access: | http://www.mdpi.com/1424-8220/9/6/4606/ |
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author | Hongli Hu Jianzhou Zhang |
author_facet | Hongli Hu Jianzhou Zhang |
author_sort | Hongli Hu |
collection | DOAJ |
description | Recently, 3D image fusion reconstruction using a FDK algorithm along threeorthogonal circular isocentric orbits has been proposed. On the other hand, we know that 3D image reconstruction based on three-orthogonal circular isocentric orbits is sufficient in the sense of Tuy data sufficiency condition. Therefore the datum obtained from three-orthogonal circular isocentric orbits can derive an exact reconstruction algorithm. In this paper, an exact weighted-FBP algorithm with three-orthogonal circular isocentric orbits is derived by means of Katsevich’s equations of filtering lines based on a circle trajectory and a modified weighted form of Tuy’s reconstruction scheme. |
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institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-04-11T22:23:00Z |
publishDate | 2009-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Sensors |
spelling | doaj.art-88a62673d796410d92dce56a23dc06aa2022-12-22T04:00:00ZengMDPI AGSensors1424-82202009-06-01964606461410.3390/s90604606Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning ReconstructionHongli HuJianzhou ZhangRecently, 3D image fusion reconstruction using a FDK algorithm along threeorthogonal circular isocentric orbits has been proposed. On the other hand, we know that 3D image reconstruction based on three-orthogonal circular isocentric orbits is sufficient in the sense of Tuy data sufficiency condition. Therefore the datum obtained from three-orthogonal circular isocentric orbits can derive an exact reconstruction algorithm. In this paper, an exact weighted-FBP algorithm with three-orthogonal circular isocentric orbits is derived by means of Katsevich’s equations of filtering lines based on a circle trajectory and a modified weighted form of Tuy’s reconstruction scheme.http://www.mdpi.com/1424-8220/9/6/4606/cone-beam reconstructionthree-orthogonal scanningfiltering linesweighting function |
spellingShingle | Hongli Hu Jianzhou Zhang Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning Reconstruction Sensors cone-beam reconstruction three-orthogonal scanning filtering lines weighting function |
title | Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning Reconstruction |
title_full | Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning Reconstruction |
title_fullStr | Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning Reconstruction |
title_full_unstemmed | Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning Reconstruction |
title_short | Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning Reconstruction |
title_sort | exact weighted fbp algorithm for three orthogonal circular scanning reconstruction |
topic | cone-beam reconstruction three-orthogonal scanning filtering lines weighting function |
url | http://www.mdpi.com/1424-8220/9/6/4606/ |
work_keys_str_mv | AT honglihu exactweightedfbpalgorithmforthreeorthogonalcircularscanningreconstruction AT jianzhouzhang exactweightedfbpalgorithmforthreeorthogonalcircularscanningreconstruction |