Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 1, Pages 18–25 (Mi zvmmf530)  
This article is cited in 2 scientific papers (total in 2 papers)

The statement and numerical solution of an optimization problem in X-ray tomography

D. S. Anikonova, I. V. Prokhorovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia
b Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
Full-text PDF (1337 kB) Citations (2)
References:
PDF
HTML
Abstract: A nonclassical problem is considered for the transport equation with coefficients depending on the energy of radiation. The task is to find the discontinuity surfaces for the coefficients of the equation from measurements of the radiation flux leaving the medium. For this tomography problem, an optimization problem is stated and numerically analyzed. The latter consists in determining the radiation energy that ensures the best reconstruction of the unknown medium. A simplified optimization problem is solved analytically.
Key words: radiation transfer equation, tomography, optimization problems.
Received: 24.09.2004
Revised: 07.07.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 1, Pages 16–22
DOI: https://doi.org/10.1134/S0965542506010040
Bibliographic databases:
Document Type: Article
UDC: 519.626.2
Language: Russian
Citation: D. S. Anikonov, I. V. Prokhorov, “The statement and numerical solution of an optimization problem in X-ray tomography”, Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006), 18–25; Comput. Math. Math. Phys., 46:1 (2006), 16–22
Citation in format AMSBIB
\Bibitem{AniPro06}
\by D.~S.~Anikonov, I.~V.~Prokhorov
\paper The statement and numerical solution of an optimization problem in X-ray tomography
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 1
\pages 18--25
\mathnet{http://mi.mathnet.ru/zvmmf530}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2239723}
\zmath{https://zbmath.org/?q=an:1170.78384}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 1
\pages 16--22
\crossref{https://doi.org/10.1134/S0965542506010040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746075144}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf530
  • https://www.mathnet.ru/eng/zvmmf/v46/i1/p18
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024