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Separation of two monotone polygons in linear time

Published online by Cambridge University Press:  09 March 2009

Godfried T. Toussaint  and
Hossam A. El Gindy
Godfried T. Toussaint
Affiliation:
School of Computer Science, McGill University, 805 Sherbrooke Street West, Montreal, Quebec (Canada) H3A 2K6
Hossam A. El Gindy
Affiliation:
School of Computer Science, McGill University, 805 Sherbrooke Street West, Montreal, Quebec (Canada) H3A 2K6
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Abstract

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.

Type
Article
Information
Robotica , Volume 2 , Issue 4 , October 1984 , pp. 215 - 220
Copyright
Copyright © Cambridge University Press 1984

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