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Computer Research and Modeling, 2015, Volume 7, Issue 5, Pages 1033–1046
DOI: https://doi.org/10.20537/2076-7633-2015-7-5-1033-1046
(Mi crm276)
 

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

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

V. G. Nazarovab

a Institute of Applied Mathematics FEBRAS, 7 Radio st., Vladivostok, 690041, Russia
b Far Eastern Federal University, 8 Suhanova st., Vladivostok, 690950, Russia
References:
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.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Received: 15.05.2015
Revised: 07.10.2015
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. G. Nazarov, “Improvement of image quality in a computer tomography by meansof integral transformation of a special kind”, Computer Research and Modeling, 7:5 (2015), 1033–1046
Citation in format AMSBIB
\Bibitem{Naz15}
\by V.~G.~Nazarov
\paper Improvement of image quality in a computer tomography by meansof integral transformation of a special kind
\jour Computer Research and Modeling
\yr 2015
\vol 7
\issue 5
\pages 1033--1046
\mathnet{http://mi.mathnet.ru/crm276}
\crossref{https://doi.org/10.20537/2076-7633-2015-7-5-1033-1046}
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