Publication detail

A digital analogue of the Jordan curve theorem

ŠLAPAL, J.

Czech title

Digitální analogie Jordanovy věty

English title

A digital analogue of the Jordan curve theorem

Type

journal article - other

Language

en

Original abstract

We study certain closure operations on the digital plane and prove a digital analogy of the Jordan curve theorem for them. We show some aplication of this result in digital image processing.

Czech abstract

Studujeme jisté uzávěrové operace na digitální rovině a dokazujeme pro ně digitgální analogii Jordanovy věty. Jsou také uvedeny aplikace tohoto vásledku v oblasti digitálního zpracování obrazů.

English abstract

We study certain closure operations on the digital plane and prove a digital analogy of the Jordan curve theorem for them. We show some aplication of this result in digital image processing.

Keywords in Czech

Digitální rovina, Jordanova křivka..

Keywords in English

Digital plane, Jordan curve.

Released

01.01.2004

ISSN

0166-218X

Journal

Discrete Applied Mathematics

Volume

139

Number

1

Pages count

21

BIBTEX


@article{BUT41955,
  author="Josef {Šlapal},
  title="A digital analogue of the Jordan curve theorem",
  journal="Discrete Applied Mathematics",
  year="2004",
  volume="139",
  number="1",
  month="January",
  issn="0166-218X"
}