Detail publikace

Closure operators associated to ternary relations for structuring the digital plane

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

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.

BibTex


@inproceedings{BUT161342,
  author="Josef {Šlapal}",
  title="Closure operators associated to ternary relations for structuring the digital plane",
  annote="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.",
  address="IEEE",
  chapter="161342",
  doi="10.1109/ICAMS.NET46018.2018.00029",
  howpublished="online",
  institution="IEEE",
  year="2019",
  month="december",
  pages="125--128",
  publisher="IEEE"
}