Detail publikace
Topographic spaces over ordered monoids
PAVLÍK, J.
Anglický název
Topographic spaces over ordered monoids
Typ
článek v časopise - ostatní, Jost
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.
Anglický 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
29.06.2015
Nakladatel
Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
Místo
Brno
ISSN
1805-3610
Ročník
18053629
Číslo
1
Strany od–do
31–59
Počet stran
29
BIBTEX
@article{BUT128604,
author="Jan {Pavlík},
title="Topographic spaces over ordered monoids",
year="2015",
volume="18053629",
number="1",
month="June",
pages="31--59",
publisher="Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky",
address="Brno",
issn="1805-3610"
}