Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




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

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 182, Pages 119–124
DOI: https://doi.org/10.36535/0233-6723-2020-182-119-124 (Mi into679) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Analysis of three-channel images based on the theory of three-webs

O. V. Samarina, S. P. Semenov, V. V. Slavskii

Yugra State University, Khanty-Mansiysk
Full-text PDF (199 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2020-182-119-124
Abstract: Currently, one of the most urgent problems of digital image processing is the search for new mathematical approaches to the analysis and processing of multichannel images. The relevance of these studies is due to the need of optimization of available methods of digital image processing and increase the quality of the results obtained. In this paper, a new approach to processing of digital RGB-images based on the Blaschke theory of three-webs is proposed. Invariants of three-channel images with respect to the widest “topological” transformation group are determined.
Keywords: multichannel image, three-web, invariant.
Funding agency Grant number
Russian Foundation for Basic Research 18-47-860016
18-01-00620
Science Foundation of Yugra State University 13-01-20/10
This work was supported by the Russian Foundation for Basic Research (project Nos. 18-47-860016 and 18-01-00620) and the Scientific Foundation of the Yugra State University (project No. 13-01-20/10).
Bibliographic databases:
Document Type: Article
UDC: 514.763.7, 004.93
MSC: 62H35, 65D18
Language: Russian
Citation: O. V. Samarina, S. P. Semenov, V. V. Slavskii, “Analysis of three-channel images based on the theory of three-webs”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 182, VINITI, Moscow, 2020, 119–124
Citation in format AMSBIB
\Bibitem{SamSemSla20}
\by O.~V.~Samarina, S.~P.~Semenov, V.~V.~Slavskii
\paper Analysis of three-channel images based on the theory of three-webs
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 182
\pages 119--124
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into679}
\crossref{https://doi.org/10.36535/0233-6723-2020-182-119-124}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4208407}
Linking options:
  • https://www.mathnet.ru/eng/into679
  • https://www.mathnet.ru/eng/into/v182/p119
    • 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
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:148
    Full-text PDF :74
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024