Detail publikace
Jordan curves in the digital plane
ŠLAPAL, J.
Anglický název
Jordan curves in the digital plane
Typ
Článek WoS
Jazyk
en
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.
Klíčová slova anglicky
Digital plane, pretopology, undirected simple graph, digital simple closed curve, digital Jordan curve.
Vydáno
2014-01-01
Místo
USM Penang
ISSN
0126-6705
Časopis
Bulletin of the Malaysian Mathematical Sciences Society
Ročník
37
Číslo
2
Strany od–do
295–310
Počet stran
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"
}