MATHEMATICAL MODELING IN INDUSTRIAL TOMOGRAPHIC DIAGNOSIS WITH INCOMPLETE PROJECTION DATA

Abstract

In this article it has been proposed to use the analog of the Pelly-Wiener theorem; the theorem allows to synthesize the unknown projections using known projections. Within the research the special requirements were collected and analyzed, on basis of which the program for modeling sinogram obtaining process, calculating the coefficients of a homogeneous polynomial, examining the fidelity of the object reconstruction was projected and realized using coefficients and actual data.