Publication Details

A closure operator for the digital plane

ŠLAPAL, J. A closure operator for the digital plane. FILOMAT, 2020, vol. 34, no. 10, p. 3229-3237. ISSN: 0354-5180.

Czech title

Uzávěrová operace pro digitální rovinu

Type

journal article

Language

English

Authors

Šlapal Josef, prof. RNDr., CSc. (IM DAAG)

URL

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

Keywords

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

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.

Published

2020

Pages

3229–3237

Journal

FILOMAT, vol. 34, no. 10, ISSN 0354-5180

DOI

10.2298/FIL2010229S

UT WoS

000610073500005

EID Scopus

2-s2.0-85100780379

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"
}