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, 2005, Volume 45, Number 4, Pages 741–752 (Mi zvmmf676)  
This article is cited in 2 scientific papers (total in 2 papers)

On the application of computer measurement systems in tomography

E. A. Cheremukhin, A. I. Chulichkov

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (1845 kB) Citations (2)
References:
PDF
HTML
Abstract: On the basis of the theory of computer measurement systems, a method for the estimation of the internal structure of an object is proposed that takes into account the inherent symmetry of the tomography measuring scheme. The method is based on the concepts of eigenbasis and effective rank of the measurement model. The projection of the data vector on the subspace that ensures the minimal error of the estimate of the linear absorption coefficient makes it possible to reduce the dimension of the problem. The efficiency of the method is illustrated by a computational experiment.
Key words: computer tomography problems, theory of computer measurement systems.
Received: 12.02.2004
Revised: 11.11.2004
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: E. A. Cheremukhin, A. I. Chulichkov, “On the application of computer measurement systems in tomography”, Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005), 741–752; Comput. Math. Math. Phys., 45:4 (2005), 716–726
Citation in format AMSBIB
\Bibitem{CheChu05}
\by E.~A.~Cheremukhin, A.~I.~Chulichkov
\paper On the application of computer measurement systems in tomography
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 4
\pages 741--752
\mathnet{http://mi.mathnet.ru/zvmmf676}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2162715}
\zmath{https://zbmath.org/?q=an:1076.68597}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 4
\pages 716--726
Linking options:
  • https://www.mathnet.ru/eng/zvmmf676
  • https://www.mathnet.ru/eng/zvmmf/v45/i4/p741
    • 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, 2025