This article is cited in 1 paper

Reconstruction of probabilistic characteristics of random functions in spect problems

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

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

Abstract: The problem of reconstruction of probabilistic characteristics of an object which structure changes in a random manner during the process of projection data aquisition is considered. Within the frames of proposed tomography experiment model, a method to reconstruct distributions of a random function from distributions of projections in the case when random function has at most denumerable number of states is developed.

Keywords: single-photon emission computer tomography (SPECT); stochastic tomography; exponential Radon transform; random functions; projection data.