Given a set P of n points in the plane, we want to find a simple, not necessarily convex, pentagon Q with vertices in P of minimum area. We present an algorithm for solving this problem in time O(nT(n)) and space O(n) , where T(n) is the number of empty triangles in the set.
Ivan Dokmanic, Dalia Salem Hassan Fahmy El Badawy
Sebastian Urban Stich, Konstantin Mishchenko
Martin Jaggi, Sebastian Urban Stich, Amirkeivan Mohtashami