Abstract
We 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.
Cho, Sanghee;
Ahn, Sangtae;
Quanzheng, Li;
Leahy, Richard M , E-mail: leahy@sipi.usc.edu
[1]
- Signal and Image Processing Institute, University of Southern California, Los Angeles, CA 90089 (United States)
Citation Formats
Cho, Sanghee, Ahn, Sangtae, Quanzheng, Li, and Leahy, Richard M , E-mail: leahy@sipi.usc.edu.
Analytical properties of time-of-flight PET data.
United Kingdom: N. p.,
2008.
Web.
doi:10.1088/0031-9155/53/11/004; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Cho, Sanghee, Ahn, Sangtae, Quanzheng, Li, & Leahy, Richard M , E-mail: leahy@sipi.usc.edu.
Analytical properties of time-of-flight PET data.
United Kingdom.
https://doi.org/10.1088/0031-9155/53/11/004; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)
Cho, Sanghee, Ahn, Sangtae, Quanzheng, Li, and Leahy, Richard M , E-mail: leahy@sipi.usc.edu.
2008.
"Analytical properties of time-of-flight PET data."
United Kingdom.
https://doi.org/10.1088/0031-9155/53/11/004; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@misc{etde_21092747,
title = {Analytical properties of time-of-flight PET data}
author = {Cho, Sanghee, Ahn, Sangtae, Quanzheng, Li, and Leahy, Richard M , E-mail: leahy@sipi.usc.edu}
abstractNote = {We 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.}
doi = {10.1088/0031-9155/53/11/004; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)}
journal = []
issue = {11}
volume = {53}
place = {United Kingdom}
year = {2008}
month = {Jun}
}
title = {Analytical properties of time-of-flight PET data}
author = {Cho, Sanghee, Ahn, Sangtae, Quanzheng, Li, and Leahy, Richard M , E-mail: leahy@sipi.usc.edu}
abstractNote = {We 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.}
doi = {10.1088/0031-9155/53/11/004; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)}
journal = []
issue = {11}
volume = {53}
place = {United Kingdom}
year = {2008}
month = {Jun}
}