Publication detail

Convenient adjacencies for structuring the digital plane

ŠLAPAL, J.

Original Title

Convenient adjacencies for structuring the digital plane

Type

journal article in Web of Science

Language

English

Original Abstract

We study graphs with the vertex set Z^2 which are subgraphs of the 8- adjacency graph and have the property that certain natural cycles in these graphs are Jordan curves, i.e., separate Z^2 into exactly two connected components. Of these graphs, we determine the minimal ones and study their quotient graphs. The results obtained are used to prove digital analogues of the Jordan curve theorem for several graphs on Z^2. Thus, these graphs are shown to provide background structures on the digital plane Z^2 convenient for studying digital images.

Keywords

Simple graph, quotient graph, connected set, digital plane, Jordan curve

Authors

ŠLAPAL, J.

RIV year

2015

Released

15. 9. 2015

Publisher

Springer

ISBN

1012-2443

Periodical

ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE

Year of study

75 (2015)

Number

1

State

Swiss Confederation

Pages from

69

Pages to

88

Pages count

10

BibTex

@article{BUT104915,
  author="Josef {Šlapal}",
  title="Convenient adjacencies for structuring the digital plane",
  journal="ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE",
  year="2015",
  volume="75 (2015)",
  number="1",
  pages="69--88",
  doi="10.1007/s10472-013-9394-2",
  issn="1012-2443"
}