Result Details

CONVENIENT PRETOPOLOGIES ON Z^2

ŠLAPAL, J. CONVENIENT PRETOPOLOGIES ON Z^2. TWMS Journal of Pure and Applied Mathematics, 2018, vol. 9, no. 1, p. 40-51. ISSN: 2076-2585.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
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

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

URL
Published
2018
Pages
40–51
Journal
TWMS Journal of Pure and Applied Mathematics, vol. 9, no. 1, ISSN 2076-2585
Publisher
Baku State University
Place
Baku
UT WoS
000432938900004
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"
}
Departments
Institute of Mathematics (IM)
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