Publication detail

Topographic spaces over ordered monoids

PAVLÍK, J.

Original Title

Topographic spaces over ordered monoids

Type

journal article - other

Language

English

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

generalized metric space; ordered monoid; path connectedness; topography

Authors

PAVLÍK, J.

Released

29. 6. 2015

Publisher

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

Location

Brno

ISBN

1805-3610

Periodical

Mathematics for applications

Year of study

18053629

Number

1

State

Czech Republic

Pages from

31

Pages to

59

Pages count

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"
}