Publication detail

Jordan curves in the digital plane

ŠLAPAL, J.

Czech title

Jordanovy křivky v digitální rovině

English title

Jordan curves in the digital plane

Type

journal article in Web of Science

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.

Czech 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 in Czech

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

Keywords in English

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

RIV year

2014

Released

01.01.2014

Location

USM Penang

ISSN

0126-6705

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",
  year="2014",
  volume="37",
  number="2",
  month="January",
  pages="295--310",
  address="USM Penang",
  issn="0126-6705"
}