EL-REP: A New 2D Geometric Decomposition Scheme and Its Applications

This work describes the EL-REP, a new 2D decomposition scheme with interesting properties and applications. The EL-REP can be computed for one or more simple polygons of any kind: convex or nonconvex, with or without holes and even with several shells. A method for constructing this decomposition is described in detail, together with several of its main applications: fast point-in-polygon inclusion test, 2D location, triangulation of polygons, and collision detection.