Result Details

Closure operators associated to ternary relations for structuring the digital plane

ŠLAPAL, J. Closure operators associated to ternary relations for structuring the digital plane. In 2018 International Conference on Applied Mathematics & Computational Science, ICAMCS.NET 2018. Los Alamitos, CA, USA: Institute of Electrical and Electronics Engineers ( IEEE ), 2018. p. 125-128. ISBN: 9781538694695.
Type
conference paper
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract

We study closure operators associated to ternary relations. We focus on a certain ternary relation on the digital line Z and discuss the closure operator on the digital plane Z^2 associated to a special product of two copies of the relation. This closure operator is shown to allow for an analogue of the Jordan curve theorem, so that it may be used as a background structure on the digital plane for the study of digital images. An advantage of this closure operator over the Khalimsky topology is shown, too.

Keywords

Ternary relation, closure operator, digital space,
Khalimsky topology, Jordan curve theorem

URL
Published
2018
Pages
125–128
Proceedings
2018 International Conference on Applied Mathematics & Computational Science, ICAMCS.NET 2018
Edition
1
Conference
2018 International Conference on Applied Mathematics & Computational Science (ICAMCS.NET 2018)
ISBN
9781538694695
Publisher
Institute of Electrical and Electronics Engineers ( IEEE )
Place
Los Alamitos, CA, USA
DOI
10.1109/ICAMCS.NET46018.2018.00029
UT WoS
000533569600023
EID Scopus
2-s2.0-85078941482
BibTeX 
@inproceedings{BUT161342,
  author="Josef {Šlapal}",
  title="Closure operators associated to ternary relations for structuring the digital plane",
  booktitle="2018 International Conference on Applied Mathematics & Computational Science, ICAMCS.NET 2018",
  year="2018",
  number="1",
  pages="125--128",
  publisher="Institute of Electrical and Electronics Engineers ( IEEE )",
  address="Los Alamitos, CA, USA",
  doi="10.1109/ICAMCS.NET46018.2018.00029",
  isbn="9781538694695",
  url="https://ieeexplore.ieee.org/search/searchresult.jsp?newsearch=true&searchWithin=%22First%20Name%22:Josef&searchWithin=%22Last%20Name%22:Slapal"
}
Departments
Institute of Mathematics (IM)
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