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\newcommand{\E}{\mathrm{E}} \newcommand{\A}{\mathrm{A}} \newcommand{\R}{\mathrm{R}} \newcommand{\N}{\mathrm{N}} \newcommand{\Q}{\mathrm{Q}} \newcommand{\Z}{\mathrm{Z}} \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }
CGAL 4.13 - 2D Minkowski Sums
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CGAL::Optimal_convex_decomposition_2< Kernel, Container > Class Template Reference

#include <CGAL/Polygon_convex_decomposition_2.h>

Definition

The Optimal_convex_decomposition_2 class provides an implementation of Greene's dynamic programming algorithm for optimal decomposition of a polygon into convex sub-polygons [6].

Note that this algorithm requires O(n^4) time and O(n^3) space in the worst case, where n is the size of the input polygon.

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::optimal_convex_partition_2()

Public Types

typedef CGAL::Polygon_2< Kernel, Container > Polygon_2