CGAL 6.1 - 2D Minkowski Sums

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PolygonConvexDecomposition_2 Concept Reference
Reference Manual » Concepts

## Definition

A model of the `PolygonConvexDecomposition_2` concept is capable of decomposing an input polygon \( P\) into a set of convex sub-polygons \( P_1, \ldots, P_k\), such that \( \cup_{i=1}^{k}{P_k} = P\).

Has models
  `CGAL::Small_side_angle_bisector_decomposition_2<Kernel,Container>`
  `CGAL::Optimal_convex_decomposition_2<Kernel,Container>`
  `CGAL::Hertel_Mehlhorn_convex_decomposition_2<Kernel,Container>`
  `CGAL::Greene_convex_decomposition_2<Kernel,Container>`
  `CGAL::Polygon_nop_decomposition_2<Kernel,Container>`

## Types
typedef unspecified_type | Kernel
| the geometric kernel type.
typedef unspecified_type | Container
| the container of points type.
typedef unspecified_type | Point_2
| the point type, used to represent polygon vertices.
typedef unspecified_type | Polygon_2
| the polygon type, defined as `Polygon_2<Kernel,Container>`.

## Creation
| PolygonConvexDecomposition_2 ()
| default constructor.

## Operations
template<class OutputIterator >
OutputIterator | operator() (const Polygon_2 &P, OutputIterator oi) const
| decomposes the input polygon `P` into convex sub-polygons, and writes them to the output iterator `oi`.

## Member Typedef Documentation

## ◆ Container

typedef unspecified_type PolygonConvexDecomposition_2::Container

the container of points type.

By default it is `std::vector<typename Kernel::Point_2>`.

## Member Function Documentation

## ◆ operator()()

template<class OutputIterator >

OutputIterator PolygonConvexDecomposition_2::operator() | ( | const Polygon_2 & | P,
|  | OutputIterator | oi
| ) |  | const

decomposes the input polygon `P` into convex sub-polygons, and writes them to the output iterator `oi`.

The value-type of the output iterator must be `Polygon_2`. The function returns a past-the-end iterator for the convex sub-polygons.