Med Phys. 2005 Nov;32(11):3440-7.

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

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Department of Physics, University of Utah, Salt Lake City, Utah 84112, USA. tangql@physics.utah.edu

Abstract

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 4pi solid angle geometry. The cone-beam algorithm is also an exact algorithm.

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

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