MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Improvement of image quality in a computer tomography by meansof integral transformation of a special kind

V. G. Nazarov<sup>ab

a</sup> Institute of Applied Mathematics FEBRAS, 7 Radio st., Vladivostok, 690041, Russia
^b Far Eastern Federal University, 8 Suhanova st., Vladivostok, 690950, Russia

Abstract: The question on improvement of quality of images obtained in a tomography problem is considered.The problem consists in finding of boundaries of inhomogeneities (inclusions) in a continuous medium by results of X-ray radiography of this medium. A nonlinear integral transformation of a special kind is proposed which allows to improve quality of images obtained earlier at a set of papers. The method is realized numerically by the use of computer modelling. Some calculations are carried out with use of data for concrete materials. The results obtained are presented by drawings and graphic images.

Keywords: inverse problems, X-ray tomography, radiation transfer equation.

UDC: 517.958

Received: 15.05.2015
Revised: 07.10.2015

DOI: 10.20537/2076-7633-2015-7-5-1033-1046