Result Details

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.
Type
conference paper
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
Abstract

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.

Keywords

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

URL
Published
2019
Pages
16–22
Journal
Lecture Notes in Computer Science, vol. 2017, no. 1, ISSN 0302-9743
Proceedings
Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications
Series
Lecture Notes in Computer Science
Edition
10256
Conference
6th International Symposium on Computational Modeling of Objects Represented in Images. Fundamentals, Methods and Applications (CompIMAGE 2018)
ISBN
978-3-030-20804-2
Publisher
Springer
Place
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"
}
Departments
Institute of Mathematics (IM)
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