Detail publikace

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

Josef Šlapal

Anglický název

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

Typ

Stať ve sborníku v databázi WoS či Scopus

Jazyk

en

Originální 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 anglicky

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

Vydáno

2019-05-20

Nakladatel

Springer

Místo

Svýcarsko

ISBN

978-3-030-20804-2

ISSN

0302-9743

Kniha

Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications

Časopis

Lecture Notes in Computer Science

Ročník

2017

Číslo

1

Strany od–do

16–22

Počet stran

7

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"
}