Three-dimensional image reconstruction in object space

Abstract

An analytic three-dimensional image-reconstruction algorithm that can utilize the cross-plane gamma rays detected by a wide solid-angle PET (positron-emission tomography) system is presented. Unlike current analytic algorithms, it does not use Fourier transform methods, although mathematical equivalence to Fourier transform methods is proved. The results of implementing the algorithm are briefly discussed. An extension of the algorithm to utilize all measured cross-plane gamma rays is discussed.