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CGAL 6.0 - 2D Minkowski Sums
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#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 sub-polygons [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>. |
PolygonConvexDecomposition_2 Public Types | |
| typedef CGAL::Polygon_2< Kernel, Container > | Polygon_2 |