Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2004, Volume 59, Issue 2, Pages 319–328
DOI: https://doi.org/10.1070/RM2004v059n02ABEH000721 (Mi rm721) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Hausdorff distance and image processing

B. Kh. Sendov

Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences
English version PDF (160 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2004v059n02ABEH000721
Abstract: Mathematical methods for image processing make use of function spaces which are usually Banach spaces with integral $L_p$ norms. The corresponding mathematical models of the images are functions in these spaces. There are discussions here involving the value of $p$ for which the distance between two functions is most natural when they represent images, or the metric in which our eyes measure the distance between the images. In this paper we argue that the Hausdorff distance is more natural to measure the distance (difference) between images than any $L_p$ norm.
Received: 20.06.2003
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 2(356), Pages 127–136
DOI: https://doi.org/10.4213/rm721
Bibliographic databases:
Document Type: Article
UDC: 517.518.222
MSC: Primary 68U10, 28D20; Secondary 54E35
Language: English
Original paper language: Russian
Citation: B. Kh. Sendov, “Hausdorff distance and image processing”, Uspekhi Mat. Nauk, 59:2(356) (2004), 127–136; Russian Math. Surveys, 59:2 (2004), 319–328
Citation in format AMSBIB
\Bibitem{Sen04}
\by B.~Kh.~Sendov
\paper Hausdorff distance and image processing
\jour Uspekhi Mat. Nauk
\yr 2004
\vol 59
\issue 2(356)
\pages 127--136
\mathnet{http://mi.mathnet.ru/rm721}
\crossref{https://doi.org/10.4213/rm721}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2086640}
\zmath{https://zbmath.org/?q=an:1088.41021}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004RuMaS..59..319S}
\transl
\jour Russian Math. Surveys
\yr 2004
\vol 59
\issue 2
\pages 319--328
\crossref{https://doi.org/10.1070/RM2004v059n02ABEH000721}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000223519000008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-4344652669}
Linking options:
  • https://www.mathnet.ru/eng/rm721
  • https://doi.org/10.1070/RM2004v059n02ABEH000721
  • https://www.mathnet.ru/eng/rm/v59/i2/p127
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1089
    Russian version PDF:444
    English version PDF:39
    References:100
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024