Detail publikace

A Jordan curve theorem in the digital plane

ŠLAPAL, J.

Český 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

cs

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.

Český 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 česky

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

Klíčová slova anglicky

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

Rok RIV

2011

Vydáno

01.03.2011

ISSN

0302-9743

Časopis

Lecture Notes in Computer Science (IF 0,513)

Ročník

6636

Číslo

1

Strany od–do

120–131

Počet stran

12

BIBTEX


@article{BUT50522,
  author="Josef {Šlapal},
  title="A Jordan curve theorem in the digital plane",
  journal="Lecture Notes in Computer Science (IF 0,513)",
  year="2011",
  volume="6636",
  number="1",
  month="March",
  pages="120--131",
  issn="0302-9743"
}