Reconstruction of random function distributions in single photon emission tomography problems using trigonometric polynomial approximation of exponential multiplier

V. G. Ushakov^ab, O. V. Shestakov<sup>ab

a</sup> Institute for Problems of Informatics RAS
^b M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: This paper deals with the problem of reconstructing probabilistic distribution of random functions from distribution of integral transforms arising in the problems of emission tomography. The method of reconstruction is developed for the class of discrete random functions.

Keywords: emission tomography; Radon transform; projections; random functions.