PolygonWithHolesConvexDecomposition_2 Concept Reference

Definition

A model of the PolygonWithHolesConvexDecomposition_2 concept is capable of decomposing an input polygon \( P\), which may have holes, into a set of convex sub-polygons \( P_1, \ldots, P_k\), such that \( \cup_{i=1}^{k}{P_k} = P\).

Refines

PolygonConvexDecomposition_2

Has models

CGAL::Polygon_vertical_decomposition_2<Kernel,Container>

CGAL::Polygon_triangulation_decomposition_2<Kernel,Container>

Types
typedef unspecified_type	Polygon_with_holes_2
	the polygon with holes type, defined as Polygon_with_holes_2<Kernel,Container>.

Creation
	PolygonWithHolesConvexDecomposition_2 ()
	default constructor.

Operations
template<class OutputIterator >
OutputIterator	operator() (const Polygon_with_holes_2 &P, OutputIterator oi) const
	decomposes the input polygon with holes P into convex sub-polygons, and writes them to the output iterator oi.

Member Function Documentation

operator()()

template<class OutputIterator >

OutputIterator PolygonWithHolesConvexDecomposition_2::operator()	(	const Polygon_with_holes_2 &	P,
		OutputIterator	oi
	)		const

decomposes the input polygon with holes 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.