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Non-overlapping constraint between convex polytopes
RISE - Research Institutes of Sweden, IKT, SICS.
2001 (Engelska)Konferensbidrag, Publicerat paper (Refereegranskat)
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.

Ort, förlag, år, upplaga, sidor
2001, 1.
Nationell ämneskategori
Data- och informationsvetenskap
Identifikatorer
URN: urn:nbn:se:ri:diva-22594OAI: oai:DiVA.org:ri-22594DiVA, id: diva2:1042159
Konferens
CP 2001, 7th International Conference on Principles and Practice of Constraint Programming, 26 Nov - 1 Dec 2001, Paphos, Cyprus
Tillgänglig från: 2016-10-31 Skapad: 2016-10-31 Senast uppdaterad: 2018-01-14Bibliografiskt granskad

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