Publication detail

CONVENIENT PRETOPOLOGIES ON Z^2

ŠLAPAL, J.

English title

CONVENIENT PRETOPOLOGIES ON Z^2

Type

WoS Article

Language

en

Original abstract

We deal with pretopologies on the digital plane Z2 convenient for studying and processing digital pictures. We introduce a certain natural graph on the vertex set Z2 whose cycles are eligible for Jordan curves in the digital plane and discuss the pretopologies on Z2 with respect to which these cycles are Jordan curves.

Keywords in English

digital plane, Alexandroff pretopology, Khalimsky topology, connectedness graph, Jordan curve.

Released

2018-02-08

Publisher

Baku State University

Location

Baku

ISSN

2076-2585

Volume

9

Number

1

Pages from–to

40–51

Pages count

12

BIBTEX


@article{BUT148081,
  author="Josef {Šlapal}",
  title="CONVENIENT PRETOPOLOGIES ON Z^2",
  journal="TWMS Journal of Pure and Applied Mathematics",
  year="2018",
  volume="9",
  number="1",
  pages="40--51",
  issn="2076-2585",
  url="http://static.bsu.az/w24/TWMS%20V9%20N1/pp40-51.pdf"
}