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Mathematical modeling in image reconstruction by projections

Abstract

Mathematical modeling in image reconstruction by projections

Akindinova E.V., Petrenko D.I.

Incoming article date: 18.09.2019

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