Detail VaV (128604) ▪ FSI VUT v Brně

Anglický název

Topographic spaces over ordered monoids

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

Originální abstrakt

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.

Klíčová slova anglicky

generalized metric space; ordered monoid; path connectedness; topography

Vydáno

2015-06-29

Nakladatel

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

Místo

Brno

ISSN

1805-3610

Časopis

Mathematics for applications

Ročník

18053629

Číslo

1

Strany od–do

31–59

Počet stran

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"
}