Detail publikačního výsledku

Closure operators associated to ternary relations for structuring the digital plane

ŠLAPAL, J.

Originální název

Closure operators associated to ternary relations for structuring the digital plane

Anglický název

Closure operators associated to ternary relations for structuring the digital plane

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

ŠLAPAL, J.

Rok RIV

2020

Vydáno

31.12.2018

Nakladatel

Institute of Electrical and Electronics Engineers ( IEEE )

Místo

Los Alamitos, CA, USA

ISBN

9781538694695

Kniha

2018 International Conference on Applied Mathematics & Computational Science, ICAMCS.NET 2018

Strany od

125

Strany do

128

Strany počet

4

URL

https://ieeexplore.ieee.org/search/searchresult.jsp?newsearch=true&searchWithin=%22First%20Name%22:Josef&searchWithin=%22Last%20Name%22:Slapal

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"
}