Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 144–154 (Mi timm848)  
This article is cited in 1 scientific paper (total in 1 paper)

Interpretation of contradictory images by means of systems of linear inequalities

V. D. Mazurovab, A. I. Smirnova

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (184 kB) Citations (1)
References:
PDF
HTML
Abstract: We consider the problem of interpretation of three-dimensional images from their flat projections up to the set of visible faces. For projections of convex polytopes, we present an interpretation algorithm based on maximum feasible subsystems of a certain infeasible system of linear inequalities modeling the visibility requirement for faces of the polytope. A number of model examples are given; in particular, the algorithm is applied for interpretation of the Necker cube.
Keywords: polytope, face, interpretation, linear inequalities.
Received: 03.02.2012
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 283, Issue 1, Pages 100–110
DOI: https://doi.org/10.1134/S0081543813090101
Bibliographic databases:
Document Type: Article
UDC: 519.95
Language: Russian
Citation: V. D. Mazurov, A. I. Smirnov, “Interpretation of contradictory images by means of systems of linear inequalities”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 144–154; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 100–110
Citation in format AMSBIB
\Bibitem{MazSmi12}
\by V.~D.~Mazurov, A.~I.~Smirnov
\paper Interpretation of contradictory images by means of systems of linear inequalities
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 144--154
\mathnet{http://mi.mathnet.ru/timm848}
\elib{https://elibrary.ru/item.asp?id=17937020}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 283
\issue , suppl. 1
\pages 100--110
\crossref{https://doi.org/10.1134/S0081543813090101}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000327079000010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84887588451}
Linking options:
  • https://www.mathnet.ru/eng/timm848
  • https://www.mathnet.ru/eng/timm/v18/i3/p144
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:190
    Full-text PDF :74
    References:35
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024