CGAL 5.4.4  2D Minkowski Sums

#include <CGAL/Polygon_convex_decomposition_2.h>
The Hertel_Mehlhorn_convex_decomposition_2
class implements the approximation algorithm of Hertel and Mehlhorn for decomposing a polygon into convex subpolygons [8].
This algorithm constructs a triangulation of the input polygon and proceeds by removing unnecessary triangulation edges. Given the triangulation, the algorithm requires \( O(n)\) time and space to construct a convex decomposition (where \( n\) is the size of the input polygon), whose size is guaranteed to be no more than four times the size of the optimal decomposition.
Kernel  must be a geometric kernel that can be used for the polygon. 
Container  must be a container that can be used for the polygon. It is by default std::vector<typename Kernel::Point_2> . 
Public Types  
typedef CGAL::Polygon_2< Kernel, Container >  Polygon_2 