On a problem of reconstruction of a discontinuous function by its Radon transform

Evgeny Yu. Derevtsov, Svetlana V. Maltseva, Ivan E. Svetov, Murat A. Sultanov

2016

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DOI 10.1063/1.4959633
Data confidence 70 medium
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Abstract

A problem of reconstruction of a discontinuous function by its Radon transform is considered. One of the approaches to the numerical solution for the problem consists in the next sequential steps: a visualization of a set of breaking points; an identification of this set; a determination of jump values; an elimination of discontinuities. We consider three of listed problems except the problem of jump values. The problems are investigated by mathematical modeling using numerical experiments. The results of simulation are satisfactory and allow to hope for the further development of the approach.