a1 School of Computer Science, McGill University, 805 Sherbrooke Street West, Montreal, Quebec (Canada) H3A 2K6
SUMMARY Let P= (p1, p2, …, pn) and Q= (q1, q2, …, qm) be two simple polygons monotonic in directions θs and φ respectively. It is shown that P and Q are separable with a single translation in at least one of the directions: ,. Furthermore, a direction for carrying out such a translation can be determined in O(m + n) time. This procedure is of use in solving the FIND-PATH problem in robotics.
(Received July 03 1984)