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  The translationscale diagram for point-containing placements of a convex polygon (2000) [1 citations — 0 self]

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by Gill Barequet, Matthew T. Dickerson
Proc. 12th CCCG
http://www.cs.unb.ca/conf/cccg/eProceedings/20.ps.gz
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Abstract:

We present a diagram that captures containment information for scalable translations of a convex polygon. For a given polygon P and contact point q in a set S, the diagram parameterizes possible translations and scales of the polygon in order to represent containment regions for each other point v in S. We present geometric and combinatorial properties for this diagram, and describe how it can be computed and used in the solution of several geometric problems. 1

Citations

9 Offset-polygon annulus placement problems – Barequet, Briggs, et al. - 1998
4 Voronoi Diagrams for Polygon-Offset Distance Functions – Barequet, Dickerson, et al.
1 Optimizing constrained offset and scaled polygonal annuli – Barequet, Bose, et al. - 1999