Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Non-overlapping constraint between convex polytopes
RISE - Research Institutes of Sweden, ICT, SICS.
2001 (English)Conference paper, Published paper (Refereed)
Abstract [en]

This paper deals with non-overlapping constraints between convex polytopes. Non-overlapping detection between fixed objects is a fundamental geometric primitive that arises in many applications. However from a constraint perspective it is natural to extend the previous problem to a non-overlapping constraint between two objects for which both positions are not yet fixed. A first contribution is to present theorems for convex polytopes, which allow coming up with general necessary conditions for non-overlapping. These theorems can be seen as a generalisation of the notion of compulsory part, which was introduced in 1984 by Lahrichi and Gondran [6] for managing non-overlapping constraint between rectangles. Finally, a second contribution is to derive from the previous theorems efficient filtering algorithms for two special cases: the non-overlapping constraint between two convex polygons as well as the non-overlapping constraint between d-dimensional boxes.

Place, publisher, year, edition, pages
2001, 1.
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:ri:diva-22594OAI: oai:DiVA.org:ri-22594DiVA, id: diva2:1042159
Conference
CP 2001, 7th International Conference on Principles and Practice of Constraint Programming, 26 Nov - 1 Dec 2001, Paphos, Cyprus
Available from: 2016-10-31 Created: 2016-10-31 Last updated: 2018-01-14Bibliographically approved

Open Access in DiVA

No full text in DiVA

By organisation
SICS
Computer and Information Sciences

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 167 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf