Detail výsledku

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.
Typ
článek v časopise
Jazyk
česky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
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
2011
Strany
120–131
Časopis
Lecture Notes in Computer Science, roč. 6636, č. 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"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru