On stability of image reconstruction in the problems of emission tomography

O. V. Shestakov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: This paper deals with the problem of reconstructing images from projections in emission tomography settings. Within the frames of given mathematical model, the closeness estimates are derived for reconstructed images when using finite number of projections.

Keywords: emission tomography; Radon transform; projections; closeness estimates.