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"
}