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Exact fan-beam and 4 pi-acquisition cone-beam SPECT algorithmswith uniform attenuation correction

Journal Article · · Medical Physics
DOI:https://doi.org/10.1118/1.2068907· OSTI ID:901809

This paper presents analytical fan-beam and cone-beamreconstruction algorithms that compensate for uniform attenuation insingle photon emission computed tomography. First, a fan-beam algorithmis 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 equivalentparallel-beam projection data are obtained from the fan-beam projectiondata. Then a quasioptimal analytical reconstruction algorithm foruniformly attenuated Radon data, developed by Metz and Pan, is used toreconstruct the image. A cone-beam algorithm is developed by extendingthe fan-beam algorithm to 4 pi solid angle geometry. The cone-beamalgorithm is also anexact algorithm.

Research Organization:
Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
Sponsoring Organization:
USDOE Director, Office of Science. Office of Biological andEnvironmental Research; National Institutes of Health
DOE Contract Number:
AC02-05CH11231
OSTI ID:
901809
Report Number(s):
LBNL--58922; BnR: 400412000
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