Detail publikace

Closure operators associated to ternary relations for structuring the digital plane

ŠLAPAL, J.

Anglický název

Closure operators associated to ternary relations for structuring the digital plane

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

en

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 anglicky

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

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

Číslo edice

1

Strany od–do

125–128

Počet stran

4

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",
  month="December",
  pages="125--128",
  publisher="Institute of Electrical and Electronics Engineers ( IEEE )",
  address="Los Alamitos, CA, USA",
  isbn="9781538694695"
}