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Non-overlapping Constraints between Convex Polytopes
Number of Authors: 3
2001 (English)Report (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 generalization 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
Kista, Sweden: Swedish Institute of Computer Science , 2001, 1. , 17 p.
Series
SICS Technical Report, ISSN 1100-3154 ; 2001:12
Keyword [en]
Non-overlapping Constraint, Compulsory Part, Sweep
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:ri:diva-22104OAI: oai:DiVA.org:ri-22104DiVA: diva2:1041646
Available from: 2016-10-31 Created: 2016-10-31Bibliographically approved

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Computer and Information Science

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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