Publisher's Synopsis
Excerpt from Generalized Voronoi Diagrams for Moving a Ladder: I. Topological Analysis
The shape of the 'racetrack' is the reason for its pearliar name. The boundary of the racetrack (assuming nondegenerate, i.e., r consists of two semicircles (the bends) and two straight line-segments (the sides). Given any placement 2, its clearance, written clearance(z), is the smallest nonnegative r such that r(z, r) intersects the complement 0' of the room. (alternatively, clearance(z) We write r(z), and call it the Z-racetrack, to denote the racetrack Note that FP can be characterized as the set of placements of positive clearance.
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