Publication detail

An alternative digital topology

ŠLAPAL, J.

Czech title

Alternativní digitální topologie

English title

An alternative digital topology

Type

journal article - other

Language

en

Original abstract

We define a new topology on the digital plane and formulate a digital Jordan curve theorem with respect to it. We show that this new topology may be used as a background structure of the digital plane for solving problems of digital image processing.

Czech abstract

Je definována nová topologie v digitální rovině a dokážána Jordanova věta pro tuto topologii. Je ukázáno, že tato topologie poskytuje vhodnou strukturaci digitální roviny pro řešení problémů digitálního zpracování obrazů.

English abstract

We define a new topology on the digital plane and formulate a digital Jordan curve theorem with respect to it. We show that this new topology may be used as a background structure of the digital plane for solving problems of digital image processing.

Keywords in Czech

Digitální topologie, Jordanova věta.

Keywords in English

Digital topology, Jordan curve theorem.

Released

01.01.2003

Publisher

Elsevier

ISSN

1571-0653

Journal

Electronic Notes in Discrete Mathematics

Volume

12

Number

1

Pages count

20

BIBTEX


@article{BUT41866,
  author="Josef {Šlapal},
  title="An alternative digital topology",
  journal="Electronic Notes in Discrete Mathematics",
  year="2003",
  volume="12",
  number="1",
  month="January",
  publisher="Elsevier",
  issn="1571-0653"
}