Sanghee Cho et al 2008 Phys. Med. Biol. 53 2809 doi:10.1088/0031-9155/53/11/004
Sanghee Cho, Sangtae Ahn, Quanzheng Li and Richard M Leahy
Show affiliationsWe investigate the analytical properties of time-of-flight (TOF) positron emission tomography (PET) sinograms, where the data are modeled as line integrals weighted by a spatially invariant TOF kernel. First, we investigate the Fourier transform properties of 2D TOF data and extend the 'bow-tie' property of the 2D Radon transform to the time-of-flight case. Second, we describe a new exact Fourier rebinning method, TOF-FOREX, based on the Fourier transform in the time-of-flight variable. We then combine TOF-FOREX rebinning with a direct extension of the projection slice theorem to TOF data, to perform fast 3D TOF PET image reconstruction. Finally, we illustrate these properties using simulated data.
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Issue 11 (7 June 2008)
Received 27 October 2007, in final form 21 February 2008
Published 6 May 2008
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