The 8th International Meeting on Fully Three-dimensional Image Reconstruction in Radiology and Nuclear Medicine Salt Lake
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چکیده
This paper explores fast reconstruction strategies for 3D time-of-flight (TOF) PET, based on 2D data rebinning. We introduce TOF-FORE, an approximate rebinning algorithm obtained by extending the Fourier rebinning method for non-TOF data. In addition, we identify two partial differential equations that must be satisfied by consistent 3D TOF data, and use them to derive exact rebinning algorithms and to characterize the degree of the approximation in TOF-FORE. Numerical simulations demonstrate that TOF-FORE is more accurate than two different TOF extensions of the single-slice rebinning method, and suggest that TOF-FORE will be a valuable tool for practical TOF PET in the range of axial apertures and time resolutions typical of current scanners.
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