\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 3D Polyhedral Surface

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
CGAL::Polyhedron_items_3 Class Reference
3D Polyhedral Surface Reference

`#include <CGAL/Polyhedron_items_3.h>`

## Definition

The class `Polyhedron_items_3` is a model of the `PolyhedronItems_3` concept.

It provides definitions for vertices with points, halfedges, and faces with plane equations. The polyhedron traits class must provide the respective types for the point and the plane equation. Vertices and facets both contain a halfedge handle to an incident halfedge.

Is Model Of:
  `PolyhedronItems_3`

See Also
  `CGAL::Polyhedron_3<Traits>`
  `CGAL::Polyhedron_min_items_3`
  `CGAL::HalfedgeDS_min_items`
  `CGAL::HalfedgeDS_items_2`

Example

The following example program defines a new face class based on the `CGAL::HalfedgeDS_face_base` and adds a new color member variable. The new face class is used to replace the face definition in the `CGAL::Polyhedron_items_3` class. The main function illustrates the access to the new member variable. See also the `PolyhedronItems_3` concept for another illustrative example.

File Polyhedron/polyhedron_prog_color.cpp

#include <CGAL/Simple_cartesian.h>
#include <CGAL/IO/Color.h>
#include <CGAL/Polyhedron_3.h>
// A face type with a color member variable.
template <class Refs>
struct My_face : public CGAL::HalfedgeDS_face_base<Refs> {
CGAL::Color color;
};
// An items type using my face.
struct My_items : public CGAL::Polyhedron_items_3 {
template <class Refs, class Traits>
struct Face_wrapper {
typedef My_face<Refs> Face;
};
};
typedef CGAL::Simple_cartesian<double> Kernel;
typedef CGAL::Polyhedron_3<Kernel, My_items> Polyhedron;
typedef Polyhedron::Halfedge_handle Halfedge_handle;
int main() {
Polyhedron P;
Halfedge_handle h = P.make_tetrahedron();
h->facet()->color = CGAL::RED;
return 0;
}

Examples:
  Polyhedron/polyhedron_prog_color.cpp, and Polyhedron/polyhedron_prog_vector.cpp.

## Types in Polyhedron_items_3::Face_wrapper<Refs,Traits>::Vertex
Polyhedron_items_3::Vertex_wrapper < Refs, Traits >::Vertex typedef Traits::Point_3 | Point
Polyhedron_items_3::Vertex_wrapper < Refs, Traits >::Vertex typedef CGAL::Tag_true | Supports_vertex_point

## Types in Polyhedron_items_3::Face_wrapper<Refs,Traits>::Face
typedef Traits::Plane_3 | Plane
typedef CGAL::Tag_true | Supports_face_plane

## Creation
| Polyhedron_items_3 ()
| default constructor.