Publication result detail

A closure operator for the digital plane

ŠLAPAL, J.

Original Title

A closure operator for the digital plane

English Title

A closure operator for the digital plane

Type

WoS Article

Original Abstract

We introduce and study a closure operator on the digital plane $\mathbb Z^2$. The closure operator is shown to provide connectedness that allows for a digital analogue of the Jordan curve theorem. This enables using the closure operator for structuring the digital plane in order to study and process digital images.

English abstract

We introduce and study a closure operator on the digital plane $\mathbb Z^2$. The closure operator is shown to provide connectedness that allows for a digital analogue of the Jordan curve theorem. This enables using the closure operator for structuring the digital plane in order to study and process digital images.

Keywords

Digital plane, closure operator, connectedness, Jordan curve theorem, Khalimsky topology.

Key words in English

Digital plane, closure operator, connectedness, Jordan curve theorem, Khalimsky topology.

Authors

ŠLAPAL, J.

RIV year

2021

Released

31.12.2020

ISBN

0354-5180

Periodical

Filomat

Volume

34

Number

10

State

Republic of Serbia

Pages from

3229

Pages to

3237

Pages count

9

URL

http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/12105

BibTex

@article{BUT168537,
  author="Josef {Šlapal}",
  title="A closure operator for the digital plane",
  journal="Filomat",
  year="2020",
  volume="34",
  number="10",
  pages="3229--3237",
  doi="10.2298/FIL2010229S",
  issn="0354-5180",
  url="http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/12105"
}

Documents

Clopdigplrev