CGAL 5.6.3 - 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.

## 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.