Fully-three-dimensional positron emission tomography

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Abstract
A reconstruction algorithm is derived for fully 3-dimensional positron emission tomography. The reconstruction problem is formulated mathematically as a 3-dimensional convolution integral of a point spread function with an unknown positron activity distrbution. Fourier transform methods are used to solve the reconstruction. Performance of the algorithm is evaluated using simulated phantom data produced by a Monte Carlo computer program and phantom data from a Searle Positron Camera. The method is computationally feasible and results in accurate reconstructions.