Detail publikačního výsledku

Jordan curves in the digital plane

ŠLAPAL, J.

Originální název

Jordan curves in the digital plane

Anglický název

Jordan curves in the digital plane

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

ŠLAPAL, J.

Rok RIV

2015

Vydáno

01.01.2014

Místo

USM Penang

ISSN

0126-6705

Periodikum

Bulletin of the Malaysian Mathematical Sciences Society

Svazek

37

Číslo

2

Stát

Malajsie

Strany od

295

Strany do

310

Strany počet

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"
}