Publication result detail

Jordan curves in the digital plane

ŠLAPAL, J.

Original Title

Jordan curves in the digital plane

English Title

Jordan curves in the digital plane

Type

WoS Article

Original Abstract

We discuss certain interrelated pretopologies on the digital plane $\mathbb Z^2$ including the Khalimsky topology and several other topologies on $\mathbb Z^2$. We present a digital analogue of the Jordan curve theorem for each of the pretopologies to demonstrate that they can provide background structures on $\mathbb Z^2$ convenient for the study of geometric and topological properties of two-dimensional digital images.

English abstract

We discuss certain interrelated pretopologies on the digital plane $\mathbb Z^2$ including the Khalimsky topology and several other topologies on $\mathbb Z^2$. We present a digital analogue of the Jordan curve theorem for each of the pretopologies to demonstrate that they can provide background structures on $\mathbb Z^2$ convenient for the study of geometric and topological properties of two-dimensional digital images.

Keywords

Digital plane, pretopology, undirected simple graph, digital simple closed curve, digital Jordan curve.

Key words in English

Digital plane, pretopology, undirected simple graph, digital simple closed curve, digital Jordan curve.

Authors

ŠLAPAL, J.

RIV year

2015

Released

01.01.2014

Location

USM Penang

ISBN

0126-6705

Periodical

Bulletin of the Malaysian Mathematical Sciences Society

Volume

37

Number

2

State

Malaysia

Pages from

295

Pages to

310

Pages count

16

BibTex

@article{BUT91784,
  author="Josef {Šlapal}",
  title="Jordan curves in the digital plane",
  journal="Bulletin of the Malaysian Mathematical Sciences Society",
  year="2014",
  volume="37",
  number="2",
  pages="295--310",
  issn="0126-6705"
}