Incremental beamwise backprojection using geometrical symmetries for 3D PET reconstruction in a cylindrical scanner geometry

Cho et al have proposed a fast backprojection scheme for parallel beam geometries, the incremental algorithm, which performs backprojection on a ray-by-ray (beam-by-beam) basis as opposed to a pixel-by-pixel approach. We present an extension of this incremental, beamwise, backprojection algorithm to...

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Bibliographic Details
Published in:Physics in medicine & biology 1998-10, Vol.43 (10), p.3009-3024
Main Authors: Egger, M L, Joseph, C, Morel, C
Format: Article
Language:English
Subjects:
Algorithms
Biological and medical sciences
Diagnostic Imaging - methods
Investigative techniques, diagnostic techniques (general aspects)
Medical sciences
Miscellaneous. Technology
Radionuclide investigations
Tomography, Emission-Computed - methods
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Summary:Cho et al have proposed a fast backprojection scheme for parallel beam geometries, the incremental algorithm, which performs backprojection on a ray-by-ray (beam-by-beam) basis as opposed to a pixel-by-pixel approach. We present an extension of this incremental, beamwise, backprojection algorithm to the case of volume reconstruction of data acquired by a cylindrical, multiring positron tomograph. Use is made of geometrical symmetries of the image volume. This method results in a twelve-fold reduction of execution time compared with a straightforward, voxel-driven implementation of the same interpolation equations.
ISSN:0031-9155
1361-6560
DOI:10.1088/0031-9155/43/10/023