\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0 - 2D Minkowski Sums
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PolygonWithHolesConvexDecomposition_2 Concept Reference
2D Minkowski Sums Reference » Concepts

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. More...
 

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. More...
 

Constructor & Destructor Documentation

◆ PolygonWithHolesConvexDecomposition_2()

PolygonWithHolesConvexDecomposition_2::PolygonWithHolesConvexDecomposition_2 ( )

default constructor.

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.