Detail publikace

Topographic spaces over ordered monoids

PAVLÍK, J.

Originální název

Topographic spaces over ordered monoids

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

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

generalized metric space; ordered monoid; path connectedness; topography

Autoři

PAVLÍK, J.

Vydáno

29. 6. 2015

Nakladatel

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

Místo

Brno

ISSN

1805-3610

Periodikum

Mathematics for applications

Ročník

18053629

Číslo

1

Stát

Česká republika

Strany od

31

Strany do

59

Strany počet

29

URL

http://hdl.handle.net/11012/63087

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"
}