Result Details

Digital Jordan curves with respect to a closure operator

ŠLAPAL, J. Digital Jordan curves with respect to a closure operator. In NTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. Melville, NY, USA: AIP Publishing, 2020. p. 1-4. ISBN: 978-0-7354-4025-8.
Type
conference paper
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract

We introduce 2D digital Jordan curves as the curves satisfying a digital Jordan curve theorem. The theorem builds on the connectedness in the digital plane Z2 provided by a closure operator. An advantage of using the closure operator instead of the Khalimsky topology is that the operator provides a richer variety of Jordan curves.

Keywords

Digital plane, Jordan curve, closure operator

URL
Published
2020
Pages
1–4
Proceedings
NTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019
ISBN
978-0-7354-4025-8
Publisher
AIP Publishing
Place
Melville, NY, USA
DOI
10.1063/5.0026422
UT WoS
000636709500024
EID Scopus
2-s2.0-85097978570
BibTeX 
@inproceedings{BUT166350,
  author="Josef {Šlapal}",
  title="Digital Jordan curves with respect to a closure operator",
  booktitle="NTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019",
  year="2020",
  pages="1--4",
  publisher="AIP Publishing",
  address="Melville, NY, USA",
  doi="10.1063/5.0026422",
  isbn="978-0-7354-4025-8",
  url="https://aip.scitation.org/doi/abs/10.1063/5.0026422"
}
Departments
Institute of Mathematics (IM)
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