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Non-overlapping constraint between convex polytopes
Number of Authors: 3
2001 (English)Conference 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 Science
Identifiers
URN: urn:nbn:se:ri:diva-22594OAI: oai:DiVA.org:ri-22594DiVA: diva2:1042159
Conference
CP 2001, 7th International Conference on Principles and Practice of Constraint Programming
Available from: 2016-10-31 Created: 2016-10-31Bibliographically approved

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Citation style
  • apa
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