Publication detail

Jordan curves in the digital plane

ŠLAPAL, J.

English title

Jordan curves in the digital plane

Type

WoS Article

Language

en

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.

Keywords in English

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

Released

2014-01-01

Location

USM Penang

ISSN

0126-6705

Journal

Bulletin of the Malaysian Mathematical Sciences Society

Volume

37

Number

2

Pages from–to

295–310

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"
}