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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Main Authors: Hongli Hu, Jianzhou Zhang
Format: Article
Language:English
Published: MDPI AG 2009-06-01
Series:Sensors
Subjects:
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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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