Detail publikace

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

Josef Šlapal

Originální název

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

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

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

Autoři

Josef Šlapal

Vydáno

20. 5. 2019

Nakladatel

Springer

Místo

Svýcarsko

ISBN

978-3-030-20804-2

Kniha

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

Edice

Lecture Notes in Computer Science

Číslo edice

10256

ISSN

0302-9743

Periodikum

Lecture Notes in Computer Science

Ročník

2017

Číslo

1

Stát

Spolková republika Německo

Strany od

16

Strany do

22

Strany počet

7

URL

https://link.springer.com/chapter/10.1007/978-3-030-20805-9_2

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"
}