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Exact fan-beam and 4{pi}-acquisition cone-beam SPECT algorithms with uniform attenuation correction

Journal Article · · Medical Physics
DOI:https://doi.org/10.1118/1.2068907· OSTI ID:20726908
; ; ;  [1]
  1. Department of Physics, University of Utah, Salt Lake City, Utah 84112 (United States)

This paper presents analytical fan-beam and cone-beam reconstruction algorithms that compensate for uniform attenuation in single photon emission computed tomography. First, a fan-beam algorithm is developed by obtaining a relationship between the two-dimensional (2D) Fourier transform of parallel-beam projections and fan-beam projections. Using this relationship, 2D Fourier transforms of equivalent parallel-beam projection data are obtained from the fan-beam projection data. Then a quasioptimal analytical reconstruction algorithm for uniformly attenuated Radon data, developed by Metz and Pan, is used to reconstruct the image. A cone-beam algorithm is developed by extending the fan-beam algorithm to 4{pi} solid angle geometry. The cone-beam algorithm is also an exact algorithm.

OSTI ID:
20726908
Journal Information:
Medical Physics, Journal Name: Medical Physics Journal Issue: 11 Vol. 32; ISSN 0094-2405; ISSN MPHYA6
Country of Publication:
United States
Language:
English