Detail publikace

A Jordan curve theorem in the digital plane

ŠLAPAL, J.

Originální název

A Jordan curve theorem in the digital plane

Anglický název

A Jordan curve theorem in the digital plane

Typ

článek v časopise - ostatní, Jost

Jazyk

čeština

Originální abstrakt

We study a certain Alexandroff topology on $\mathbb Z^2$ and some of its quotient topologies including the Khalimsky one. By proving an analogue of the Jordan curve theorem for this topology we show that it provides a large variety of digital Jordan curves. Some consequences of this result are discussed, too.

Anglický abstrakt

We study a certain Alexandroff topology on $\mathbb Z^2$ and some of its quotient topologies including the Khalimsky one. By proving an analogue of the Jordan curve theorem for this topology we show that it provides a large variety of digital Jordan curves. Some consequences of this result are discussed, too.

Klíčová slova

Digital plane, connectedness graph, Khalimsky space, Jordan curve, Alexandroff topology

Klíčová slova v angličtině

Digital plane, connectedness graph, Khalimsky space, Jordan curve, Alexandroff topology

Autoři

ŠLAPAL, J.

Rok RIV

2011

Vydáno

1. 3. 2011

ISSN

0302-9743

Periodikum

Lecture Notes in Computer Science

Ročník

6636

Číslo

1

Stát

Spolková republika Německo

Strany od

120

Strany do

131

Strany počet

12

BibTex

@article{BUT50522,
  author="Josef {Šlapal}",
  title="A Jordan curve theorem in the digital plane",
  journal="Lecture Notes in Computer Science",
  year="2011",
  volume="6636",
  number="1",
  pages="120--131",
  issn="0302-9743"
}