Publication detail

Convenient adjacencies for structuring the digital plane

ŠLAPAL, J.

English title

Convenient adjacencies for structuring the digital plane

Type

WoS Article

Language

en

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 in English

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

Released

2015-09-15

Publisher

Springer

ISSN

1012-2443

Journal

ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE

Volume

75 (2015)

Number

1

Pages from–to

69–88

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"
}