Detail výsledku

Topographic spaces over ordered monoids

PAVLÍK, J. Topographic spaces over ordered monoids. Mathematics for applications, 2015, vol. 18053629, no. 1, p. 31-59. ISSN: 1805-3610.
Typ
článek v časopise
Jazyk
angličtina
Autoři
Pavlík Jan, Mgr., Ph.D., ÚM OAAG (FSI)
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

URL
Rok
2015
Strany
31–59
Časopis
Mathematics for applications, roč. 18053629, č. 1, ISSN 1805-3610
Vydavatel
Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
Místo
Brno
DOI
10.13164/ma.2015.04
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"
}
Projekty
Podpora tvorby excelentních týmů mezioborového výzkumu na VUT, EU, OP VK - Oblast podpory 2.3 - Lidské zdroje ve VaV, EE2.3.30.0005, zahájení: 2012-07-01, ukončení: 2015-06-30, ukončen
Pracoviště
Ústav matematiky (ÚM)
Nahoru