Exact Weighted-FBP Algorithm for Three-Orthogonal-Circular Scanning Reconstruction

Recently, 3D image fusion reconstruction using a FDK algorithm along three-orthogonal 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 conditio...

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Bibliographic Details
Published in:Sensors (Basel, Switzerland) Switzerland), 2009-06, Vol.9 (6), p.4606-4614
Main Authors: Hu, Hongli, Zhang, Jianzhou
Format: Article
Language:English
Subjects:
Algorithms
cone-beam reconstruction
filtering lines
Fourier transforms
Mathematical functions
Sensors
three-orthogonal scanning
weighting function
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Summary:Recently, 3D image fusion reconstruction using a FDK algorithm along three-orthogonal 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.
ISSN:1424-8220
1424-8220
DOI:10.3390/s90604606