Result Details
A Jordan curve theorem in the digital plane
ŠLAPAL, J. A Jordan curve theorem in the digital plane. Lecture Notes in Computer Science, 2011, roč. 6636, č. 1, s. 120-131. ISSN: 0302-9743.
Type
journal article
Language
Czech
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract
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.
Keywords
Digital plane, connectedness graph, Khalimsky space, Jordan curve, Alexandroff topology
Published
2011
Pages
120–131
Journal
Lecture Notes in Computer Science, vol. 6636, no. 1, ISSN 0302-9743
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"
}
Departments