Highly Influenced

8 Excerpts

- Published 1984 in Robotica

Let P = {p1, p2,..., pn} and Q = {q1, q2,..., qm} be two simple polygons monotonic in directions θ and φ, respectively. It is shown that P and Q are separable with a single translation in at least one of the directions: θ + π / 2, φ + π / 2. 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.

@article{Toussaint1984SeparationOT,
title={Separation of two monotone polygons in linear time},
author={Godfried T. Toussaint and Hossam A. ElGindy},
journal={Robotica},
year={1984},
volume={2},
pages={215-220}
}