Publication detail

Closure operators associated to ternary relations for structuring the digital plane

ŠLAPAL, J.

Original Title

Closure operators associated to ternary relations for structuring the digital plane

Type

conference paper

Language

English

Original 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

Authors

ŠLAPAL, J.

Released

31. 12. 2018

Publisher

Institute of Electrical and Electronics Engineers ( IEEE )

Location

Los Alamitos, CA, USA

ISBN

9781538694695

Book

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

Edition number

1

Pages from

125

Pages to

128

Pages count

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"
}