The Translation-Scale-Rotation Diagram for Point-Containing Placements of a Convex Polygon
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چکیده
We present a diagram that captures containment information for scalable rotated and translated versions of a convex polygon. For a given polygon P and a contact point q in a point set S, the diagram parameterizes possible translations, rotations, and scales of the polygon in order to represent containment regions for each additional 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.
منابع مشابه
The Translation-Scale Diagram for Point-Containing Placements of a Convex Polygon
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 ...
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تاریخ انتشار 2005