Abstract
The non-invasive, fully three-dimensional reconstruction of a radionuclide distribution is studied. The problem is considered in ideal form. Several solutions, ranging from the completely analytical to the completely graphical, are presented for both the non-attenuated and uniformly attenuated cases. A function is defined which, if enacted as a response to each detected photon, will yield, upon superposition, a faithful reconstruction of the radionuclide density. Two and three-dimensional forms of this function are defined for both the non-attenuated and uniformly attenuated case.