Publication detail

Topographic spaces over ordered monoids

PAVLÍK, J.

English title

Topographic spaces over ordered monoids

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

A topography on a set is considered to be a collection of features described by two valuations: distance and elevation. Spaces with such structure will be studied on a general level, with generalized metric (gem) and pseudometric (pseudogem). We show many pseudogem distances and characteristics, particularly those related to the elevation function. We focus on paths in the topographic images and cohesiveness (generalized continuity) of their compositions with the elevation function. Special emphasis is also placed on the spaces arising from the digital geometry which have applications in image processing.

Keywords in English

generalized metric space; ordered monoid; path connectedness; topography

Released

2015-06-29

Publisher

Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky

Location

Brno

ISSN

1805-3610

Journal

Mathematics for applications

Volume

18053629

Number

1

Pages from–to

31–59

Pages count

29

BIBTEX


@article{BUT128604,
  author="Jan {Pavlík}",
  title="Topographic spaces over ordered monoids",
  journal="Mathematics for applications",
  year="2015",
  volume="18053629",
  number="1",
  pages="31--59",
  doi="10.13164/ma.2015.04",
  issn="1805-3610",
  url="http://hdl.handle.net/11012/63087"
}