FINDING A CLOSEST VISIBLE VERTEX PAIR BETWEEN 2 POLYGONS
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Given nonintersecting simple polygons P and Q, two vertices pP and q Q are said to be visible if {Mathematical expression} does not properly intersect P or Q. We present a parallel algorithm for finding a closest pair among all visible pairs (p,q), pP and qQ. The algorithm runs in time O(log n) using O(n) processors on a CREW PRAM, where n=|P|+|Q|. This algorithm can be implemented serially in (n) time, which gives a new optimal sequential solution for this problem. 1995 Springer-Verlag New York Inc.