The paper studies a mathematical model of a function that can be restored by integrals. In order to reduce image distortion during reconstruction, the representation of the desired function in the form of a sum of Gauss functions is proposed. A software package has been developed to study the model. The parameters and type of the grid giving the smallest error in this model are determined.

Keywords: mathematical modeling, inverse problem, Radon transform, image reconstruction, Gauss function, computed tomography