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Eurasian Journal of Mathematical and Computer Applications, 2018, Volume 6, Issue 1, Pages 11–20
DOI: https://doi.org/10.32523/2306-6172-2018-6-1-11-20
(Mi ejmca95)
 

This article is cited in 5 scientific papers (total in 5 papers)

Determining sound speed in weak inclusions in the ultrasound tomography problem

V. M. Filatova, В. В. Nosikova

Immanuel Kant Baltic Federal University, 236016 Kaliningrad, Russia
Abstract: The paper is devoted to the problem of determining small sound speed fluctuations in medical ultrasound tomography. The primary aim of the paper is to determine the location of small inclusions, sound speeds in them and also to determine unknown boundary between the fatty and glandular tissues. The sound speeds in these tissues are known. In this paper a numerical method for solving this problem is proposed. The approach is based on visualization of unknown inner boundary and inclusions and determination of the sound speeds in inclusions using wave kinematics. The work is the continuation of the work [1], where the problem of visualization by the method of Reverse Time Migration was already solved. In addition, the problem of visualization of inclusions in the presence of strong inclusion is solved in this work. Note that kinematic approach does not work in this case.
Keywords: ultrasound medical tomography, Reverse Time Migration, numerical modeling.
Funding agency Grant number
Russian Science Foundation 16-11-10027
This work is supported by the Russian Science Foundation under grant 16-11-10027.
Received: 20.11.2017
Accepted: 24.11.2017
Bibliographic databases:
Document Type: Article
MSC: 65N06, 65N21, 92C55
Language: English
Citation: V. M. Filatova, В. В. Nosikova, “Determining sound speed in weak inclusions in the ultrasound tomography problem”, Eurasian Journal of Mathematical and Computer Applications, 6:1 (2018), 11–20
Citation in format AMSBIB
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\by V.~M.~Filatova, В.~В.~Nosikova
\paper Determining sound speed in weak inclusions in the ultrasound tomography problem
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2018
\vol 6
\issue 1
\pages 11--20
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Eurasian Journal of Mathematical and Computer Applications
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