Result Details

Jordan curves in the digital plane

ŠLAPAL, J. Jordan curves in the digital plane. Bulletin of the Malaysian Mathematical Sciences Society, 2014, vol. 37, no. 2, p. 295-310. ISSN: 0126-6705.

Type

journal article

Language

English

Authors

Šlapal Josef, prof. RNDr., CSc., IM (FME)

Abstract

We discuss certain interrelated pretopologies on the digital plane $\mathbb Z^2$
including the Khalimsky topology and several other topologies on
$\mathbb Z^2$. We present a digital analogue of the Jordan curve
theorem for each of the pretopologies to demonstrate that they can
provide background structures on $\mathbb Z^2$ convenient for the
study of geometric and topological properties of two-dimensional
digital images.

Keywords

Digital plane, pretopology, undirected simple graph, digital simple closed curve, digital Jordan curve.

Published

2014

Pages

295–310

Journal

Bulletin of the Malaysian Mathematical Sciences Society, vol. 37, no. 2, ISSN 0126-6705

Place

USM Penang

UT WoS

000334390400001

EID Scopus

2-s2.0-84897878274

BibTeX

@article{BUT91784,
  author="Josef {Šlapal}",
  title="Jordan curves in the digital plane",
  journal="Bulletin of the Malaysian Mathematical Sciences Society",
  year="2014",
  volume="37",
  number="2",
  pages="295--310",
  issn="0126-6705"
}

Departments

Institute of Mathematics (IM)