Abstract: In a case that a gamma ray has entered into a plurality of scintillators adjacent to each other simultaneously, a detector detects the gamma ray having entered simultaneously. A position calculator calculates the ratio of wave heights representing the energies of the detected gamma ray. The position calculator obtains a trajectory of such a gamma ray that a ratio of distances passed by the gamma ray inside the plurality of scintillators, respectively, coincides with the ratio of the wave heights. The position calculator obtains an intersection between the boundary of the plurality of scintillators and the trajectory, as a passing position of the gamma ray. A reconstructing part executes a back projection process with the trajectory passing through the calculated passing position as a projection position.

Abstract: When a group of (pre-processed) projection data is stored into a projection-data storage unit, a Gaussian-based expansion-data creating unit creates a group of Gaussian-based expansion data that is expanded from each of the group of projection data through linear combination based on a plurality of Gaussian functions that is stored by a Gaussian-function storage unit and has different center points. A reconstruction-image creating unit then creates a reconstruction image by using the Gaussian-based expansion-data created by the Gaussian-based expansion-data creating unit, and stores the created reconstruction image into an image storage unit.