Detail publikace

A Jordan curve theorem in the digital plane

ŠLAPAL, J.

Originální název

A Jordan curve theorem in the digital plane

Český název

A Jordan curve theorem in the digital plane

Anglický název

A Jordan curve theorem in the digital plane

Typ

článek v časopise

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

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

Rok RIV

2011

Vydáno

01.03.2011

Strany od

120

Strany do

131

Strany počet

12