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CGAL 5.2.3 - 2D Minkowski Sums
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CGAL::Hertel_Mehlhorn_convex_decomposition_2< Kernel, Container > Class Template Reference

#include <CGAL/Polygon_convex_decomposition_2.h>

Definition

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.

Template Parameters
Kernelmust be a geometric kernel that can be used for the polygon.
Containermust be a container that can be used for the polygon. It is by default std::vector<typename Kernel::Point_2>.
Is Model Of:
PolygonConvexDecomposition_2
See also
CGAL::approx_convex_partition_2()

Public Types

typedef CGAL::Polygon_2< Kernel, ContainerPolygon_2