Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2009, Volume 372, Pages 62–81 (Mi znsl3558)  
This article is cited in 1 scientific paper (total in 1 paper)

Generating spirals with predefined boundary conditions

A. I. Kurnosenko

Moscow Engineering Physics Institute, Moscow, Russia
Full-text PDF (359 kB) Citations (1)
References:
PDF
HTML
Abstract: Spirality, considered as monotonicity of curvature, is preserved under inversions. This property is used to construct a spiral transition curve with predefined curvature elements at the end points. These boundary conditions define two invariant values: Coxeter's inversive distance and the width of the lense. To solve the problem, it is sufficient to realize corresponding values on two curvature elements of any known spiral. The rest is achieved by inversion. In particular, any boundary conditions, compatible with spirality, can be satisfied by inverting an arc of logarithmic spiral. Bibl. – 9 titles.
Key words and phrases: curvature element, transition curve, lenses, bipolar coordinates.
Received: 03.08.2007
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 175, Issue 5, Pages 534–545
DOI: https://doi.org/10.1007/s10958-011-0364-0
Bibliographic databases:
Document Type: Article
UDC: 514.752.22
Language: Russian
Citation: A. I. Kurnosenko, “Generating spirals with predefined boundary conditions”, Geometry and topology. Part 11, Zap. Nauchn. Sem. POMI, 372, POMI, St. Petersburg, 2009, 62–81; J. Math. Sci. (N. Y.), 175:5 (2011), 534–545
Citation in format AMSBIB
\Bibitem{Kur09}
\by A.~I.~Kurnosenko
\paper Generating spirals with predefined boundary conditions
\inbook Geometry and topology. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 372
\pages 62--81
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3558}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2749238}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 175
\issue 5
\pages 534--545
\crossref{https://doi.org/10.1007/s10958-011-0364-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958049730}
Linking options:
  • https://www.mathnet.ru/eng/znsl3558
  • https://www.mathnet.ru/eng/znsl/v372/p62
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:246
    Full-text PDF :100
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024