Publication detail

Digital Jordan curves

ŠLAPAL, J.

Czech title

Digitální Jordanovy křivky

English title

Digital Jordan curves

Type

journal article - other

Language

en

Original abstract

A new topology is defined on the digital plane and then studied. In particular, an analogy of the Jordan curve theorem is proved for this topology. Some applications of the results obtained are discussed, too.

Czech abstract

V práci je definována nová topologie na digitální rovině, která je pak studována. Zejména je pro tuto topologii dokázána analogie Jordanovy věty. Jsou také diskutovány aplikace získaných výsledků.

English abstract

A new topology is defined on the digital plane and then studied. In particular, an analogy of the Jordan curve theorem is proved for this topology. Some applications of the results obtained are discussed, too.

Keywords in Czech

Topologický prostor, Alexandrovova topologie, Marcusova topologie, Khalimského topologie, Jordanove křivka

Keywords in English

Topological space, Alexandroff topology, Marcus topology, Khalimsky topology, Jordan curve

RIV year

2006

Released

01.01.2006

ISSN

0166-8641

Journal

Topology and its Applications

Volume

153

Number

10

Pages count

10

BIBTEX


@article{BUT43389,
  author="Josef {Šlapal},
  title="Digital Jordan curves",
  journal="Topology and its Applications",
  year="2006",
  volume="153",
  number="10",
  month="January",
  issn="0166-8641"
}