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## CGAL::Convex_hull_traits_3<R>

### Definition

The class Convex_hull_traits_3<R> serves as a traits class for the function convex_hull_3. This is the default traits class for this function.

#include <CGAL/Convex_hull_traits_3.h>

### Is Model for the Concept

ConvexHullTraits_3
IsStronglyConvexTraits_3

### Types

typedef R::Point_3 | Point_3;
typedef R::Segment_3
| Segment_3;
typedef R::Triangle_3
| Triangle_3;
typedef R::Plane_3 | Plane_3;
typedef R::Vector_3
| Vector_3;
typedef Polyhedron_default_traits_3<R>
| Poly_traits;
typedef Halfedge_data_structure_polyhedron_default_3<R>
| HDS;
typedef Polyhedron_3<Poly_traits, HDS>
| Polyhedron_3;
typedef R::Construct_segment_3
| Construct_segment_3;
typedef R::Construct_ray_3
| Construct_ray_3;
typedef R::Construct_plane_3
| Construct_plane_3;
typedef R::Construct_vector_3
| Construct_vector_3;
typedef R::Construct_triangle_3
| Construct_triangle_3;
typedef R::Construct_centroid_3
| Construct_centroid_3;
typedef R::Construct_orthogonal_vector_3
| Construct_orthogonal_vector_3;
R::Equal_3 | Equal_3;
R::Collinear_3 | Collinear_3;
R::Coplanar_3 | Coplanar_3;
R::Less_distance_to_point_3
| Less_distance_to_point_3;
R::Has_on_positive_side_3
| Has_on_positive_side_3;
R::Less_signed_dist_to_plane_3
| Less_signed_distance_to_plane_3;
Convex_hull_projective_xy_traits_2<Point_3>
| Traits_xy;
Convex_hull_projective_xz_traits_2<Point_3>
| Traits_xz;
Convex_hull_projective_yz_traits_2<Point_3>
| Traits_yz;
R::Ray_3 | Ray_3;
R::Has_on_3 | Has_on_3;
R::Oriented_side_3 | Oriented_side_3;
R::Do_intersect_3 | Do_intersect_3;

### Creation

Convex_hull_traits_3<R> traits ( Convex_hull_traits_2& t);
| copy constructor.

### Operations

Construct_segment_3
| traits.construct_segment_3_object ()
Construct_ray_3 | traits.construct_ray_3_object ()
Construct_plane_3 | traits.construct_plane_3_object ()
Construct_triangle_3
| traits.construct_triangle_3_object ()
Construct_vector_3 | traits.construct_vector_3_object ()
Construct_centroid_3
| traits.construct_centroid_3_object ()
Construct_orthogonal_vector_3
| traits.construct_orthogonal_vector_3_object ()
Equal_3 | traits.equal_3_object ()
Collinear_3 | traits.collinear_3_object ()
Coplanar_3 | traits.coplanar_3_object ()
Has_on_3 | traits.has_on_3_object ()
Less_distance_to_point_3
| traits.less_distance_to_point_3_object ()
Has_on_positive_side_3
| traits.has_on_positive_side_3_object ()
Oriented_side_3 | traits.oriented_side_3_object ()
Do_intersect_3 | traits.do_intersect_3_object ()
Less_signed_distance_to_plane_3
| traits.less_signed_distance_to_plane_3_object ()

### See Also

CGAL::convex_hull_2

Next: is_strongly_convex_3

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The CGAL Project . Tue, December 21, 2004 .