Detail výsledku

Structuring Digital Plane by Closure Operators Associated with n-ary Relations

Josef Šlapal. Structuring Digital Plane by Closure Operators Associated with n-ary Relations. In Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications. Lecture Notes in Computer Science. Lecture Notes in Computer Science. Svýcarsko: Springer, 2019. no. 1, p. 16-22. ISBN: 978-3-030-20804-2. ISSN: 0302-9743.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Abstrakt

We associate a closure operator with every n-ary relation (n > 1 an integer) on a given set. We focus on certain n-ary relations on the digital line Z and study the closure operators on the digital plane Z^2 that are associated with special products of pairs of the relations. These closure operators, which include the Khalimsky topology, are shown to provide well behaved connectedness, so that they may be used as background structures on the digital plane for the study of digital images.

Klíčová slova

n-ary relation · Closure operator · Digital plane ·
Khalimsky topology · Jordan curve theorem

URL
Rok
2019
Strany
16–22
Časopis
Lecture Notes in Computer Science, roč. 2017, č. 1, ISSN 0302-9743
Sborník
Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications
Řada
Lecture Notes in Computer Science
Vydání
10256
Konference
6th International Symposium on Computational Modeling of Objects Represented in Images. Fundamentals, Methods and Applications (CompIMAGE 2018)
ISBN
978-3-030-20804-2
Vydavatel
Springer
Místo
Svýcarsko
DOI
10.1007/978-3-030-20805-9_2
UT WoS
000490440900002
EID Scopus
2-s2.0-85066862451
BibTeX 
@inproceedings{BUT157116,
  author="Josef {Šlapal}",
  title="Structuring Digital Plane by Closure Operators Associated with n-ary Relations",
  booktitle="Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications",
  year="2019",
  series="Lecture Notes in Computer Science",
  journal="Lecture Notes in Computer Science",
  volume="2017",
  number="1",
  pages="16--22",
  publisher="Springer",
  address="Svýcarsko",
  doi="10.1007/978-3-030-20805-9\{_}2",
  isbn="978-3-030-20804-2",
  issn="0302-9743",
  url="https://link.springer.com/chapter/10.1007/978-3-030-20805-9_2"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru