PolygonConvexDecomposition_2 Concept Reference

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. More...
typedef unspecified_type	Container
	the container of points type. More...
typedef unspecified_type	Point_2
	the point type, used to represent polygon vertices. More...
typedef unspecified_type	Polygon_2
	the polygon type, defined as Polygon_2<Kernel,Container>. More...

Creation
	PolygonConvexDecomposition_2 ()
	default constructor. More...

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. More...

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>.

Kernel

typedef unspecified_type PolygonConvexDecomposition_2::Kernel

the geometric kernel type.

Point_2

typedef unspecified_type PolygonConvexDecomposition_2::Point_2

the point type, used to represent polygon vertices.

Polygon_2

typedef unspecified_type PolygonConvexDecomposition_2::Polygon_2

the polygon type, defined as Polygon_2<Kernel,Container>.

Constructor & Destructor Documentation

PolygonConvexDecomposition_2()

PolygonConvexDecomposition_2::PolygonConvexDecomposition_2

(

)

default constructor.

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.