Computing a Geodesic Two-Center of Points in a Simple Polygon
Given a simple polygon P and a set Q of points contained in P, we consider the geodesic k-center problem where we want to find k points, called centers, in P to minimize the maximum geodesic distance of any point of Q to its closest center. In this paper, we focus on the case for k=2 and present the first exact algorithm that efficiently computes an optimal 2-center of Q with respect to the geodesic distance in P.
READ FULL TEXT