Ural Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Ural Math. J.:
Year:
Volume:
Issue:
Page:
Find






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


Ural Mathematical Journal, 2018, Volume 4, Issue 1, Pages 14–23
DOI: https://doi.org/10.15826/umj.2018.1.002
(Mi umj52)
 

This article is cited in 3 scientific papers (total in 3 papers)

Optimization of the algorithm for determining the Hausdorff distance for convex polygons

Dmitry I. Danilov, Alexey S. Lakhtin

Ural Federal University, Ekaterinburg, Russia
Full-text PDF (280 kB) Citations (3)
References:
Abstract: The paper provides a brief historical analysis of problems that use the Hausdorff distance; provides an analysis of the existing Hausdorff distance optimization elements for convex polygons; and demonstrates an optimization approach. The existing algorithm served as the basis to propose low-level optimization with super-operative memory, ensuring the finding a precise solution by a full search of the corresponding pairs of vertices and sides of polygons with exclusion of certain pairs of vertices and sides of polygons. This approach allows a significant acceleration of the process of solving the set problem.
Keywords: Hausdorff distance, Polygon, Optimization, Optimal control theory, Differential games, Theory of image recognition.
Bibliographic databases:
Document Type: Article
Language: English
Citation: Dmitry I. Danilov, Alexey S. Lakhtin, “Optimization of the algorithm for determining the Hausdorff distance for convex polygons”, Ural Math. J., 4:1 (2018), 14–23
Citation in format AMSBIB
\Bibitem{DanLak18}
\by Dmitry~I.~Danilov, Alexey~S.~Lakhtin
\paper Optimization of the algorithm for determining the Hausdorff distance for convex polygons
\jour Ural Math. J.
\yr 2018
\vol 4
\issue 1
\pages 14--23
\mathnet{http://mi.mathnet.ru/umj52}
\crossref{https://doi.org/10.15826/umj.2018.1.002}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3848661}
\elib{https://elibrary.ru/item.asp?id=35339279}
Linking options:
  • https://www.mathnet.ru/eng/umj52
  • https://www.mathnet.ru/eng/umj/v4/i1/p14
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Ural Mathematical Journal
    Statistics & downloads:
    Abstract page:198
    Full-text PDF :102
    References:37
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024