Effect Of Detector Weighting Function On The PSF Of High Resolution Positron Tomographs: A Simulation Study

Abstract

Characterizing the point spread function (PSF) of a PET tomograph is important for assessing its performance and provides a useful model for restoration of the tomographic image. The PSF of ring PET tomographs is known to be spatiallyvariant and difficult to obtain because it must be reconstructed from projections. A mathematical model was developed to simulate the data acquisition from a point source and to reconstruct the PSF taking into account the full description of the detector response functions. In order to investigate the effect of the detector weighting function on the PSF, the reconstruction, based on the filtered backprojection algorithm, was implemented with three classes of weighting functions of decreasing complexity: exact, locally invariant and constant. Significant discrepancies are observed to result from the different hypothesis and this is shown to lead to distorted PSF and to erroneous estimates of the intrinsic resolution off the center of the tomograph.