Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 5, Pages 1037–1049 (Mi smj2028)  
This article is cited in 3 scientific papers (total in 4 papers)

Some extensions of the class of $k$-convex bodies

V. P. Golubyatnikova, V. Yu. Rovenskib

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Department of Mathematics, University of Haifa, Haifa, Israel
Full-text PDF (413 kB) Citations (4)
References:
PDF
HTML
Abstract: We study interrelations between some classes of bodies in Euclidean spaces. We introduce circular projections in normed linear spaces and the classes of bodies related with some families of these projections. Investigation of these bodies more general than $k$-convex and $k$-visible bodies allows us to generalize some classical results of geometric tomography and find their new applications.
Keywords: $k$-convex body, $k$-visible body, supporting ball, circular projection, visual hull, geometric tomography.
Received: 06.08.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 5, Pages 820–829
DOI: https://doi.org/10.1007/s11202-009-0092-6
Bibliographic databases:
UDC: 514.17
Language: Russian
Citation: V. P. Golubyatnikov, V. Yu. Rovenski, “Some extensions of the class of $k$-convex bodies”, Sibirsk. Mat. Zh., 50:5 (2009), 1037–1049; Siberian Math. J., 50:5 (2009), 820–829
Citation in format AMSBIB
\Bibitem{GolRov09}
\by V.~P.~Golubyatnikov, V.~Yu.~Rovenski
\paper Some extensions of the class of $k$-convex bodies
\jour Sibirsk. Mat. Zh.
\yr 2009
\vol 50
\issue 5
\pages 1037--1049
\mathnet{http://mi.mathnet.ru/smj2028}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2603849}
\elib{https://elibrary.ru/item.asp?id=12961538}
\transl
\jour Siberian Math. J.
\yr 2009
\vol 50
\issue 5
\pages 820--829
\crossref{https://doi.org/10.1007/s11202-009-0092-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000273176100006}
\elib{https://elibrary.ru/item.asp?id=15295827}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350366902}
Linking options:
  • https://www.mathnet.ru/eng/smj2028
  • https://www.mathnet.ru/eng/smj/v50/i5/p1037
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:342
    Full-text PDF :100
    References:47
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024