\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D Minkowski Sums

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members | Public Types
CGAL::Greene_convex_decomposition_2< Kernel, Container > Class Template Reference
2D Minkowski Sums Reference

`#include <CGAL/Polygon_convex_decomposition_2.h>`

## Definition

The `Greene_convex_decomposition_2` class implements the approximation algorithm of Greene for the decomposition of an input polygon into convex sub-polygons [5]. This algorithm takes \( O(n \log n)\) time and \( O(n)\) space, where \( n\) is the size of the input polygon, and outputs a decomposition whose size is guaranteed to be no more than four times the size of the optimal decomposition.

Template Parameters

  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>`.

Is Model Of:
  `PolygonConvexDecomposition_2`

See Also
  `CGAL::greene_approx_convex_partition_2()`

## Public Types
typedef CGAL::Polygon_2 < Kernel, Container > | Polygon_2