A compact piecewise-linear Voronoi diagram for convex sites in the plane, or, Simple paths in a complex world

In the plane, the post-office problem, which asks for the closest site to a query site, and retraction motion planning, which asks for a one-dimensional retract of the free space of a robot, are both classically solved by computing a Voronoi diagram. When the sites are k disjoint convex sets, we giv...

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Bibliographic Details
Main Author: McAllister, Michael
Format: Others
Language:English
Published: 2008
Online Access:http://hdl.handle.net/2429/2000