Publication detail

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

Josef Šlapal

English title

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

Type

Paper in proceedings (conference paper)

Language

en

Original 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 in English

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

Released

2019-05-20

Publisher

Springer

Location

Svýcarsko

ISBN

978-3-030-20804-2

ISSN

0302-9743

Book

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

Journal

Lecture Notes in Computer Science

Volume

2017

Number

1

Pages from–to

16–22

Pages count

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"
}