## CGAL::Convex_hull_projective_xz_traits_2<Point_3>

### Definition

The class Convex_hull_projective_xz_traits_2<Point_3> serves as a traits class for all the two-dimensional convex hull and extreme point calculation function. This class can be used to compute the convex hull of a set of 3D points projected onto the xz plane (i.e., by ignoring the y coordinate).

#include <CGAL/Convex_hull_projective_xz_traits_2.h>

### Is Model for the Concept

ConvexHullTraits_2

### Types

typedef Point_3 | Point_2;
typedef Less_xy_plane_xz_2<Point_3>
| Less_xy_2;
typedef Less_yx_plane_xz_2<Point_3>
| Less_yx_2;
typedef Less_dist_to_line_plane_xz_2<Point_3>
| Less_signed_distance_to_line_2;
typedef Less_rotate_ccw_plane_xz_2<Point_3>
| Less_rotate_ccw_2;
typedef Left_turn_plane_xz_2<Point_3>
| Left_turn_2;
typedef Equal_xy_plane_xz_2<Point_3>
| Equal_2;

### Creation

Convex_hull_projective_xz_traits_2<Point_3> traits;
| default constructor.

### Operations

Less_xy_2 | traits.less_xy_2_object ()
Less_yx_2 | traits.less_yx_2_object ()
Less_signed_distance_to_line_2
| traits.less_signed_distance_to_line_2_object ()
Less_rotate_ccw_2 | traits.less_rotate_ccw_2_object ()
Left_turn_2 | traits.left_turn_2_object ()
Equal_2 | traits.equal_2_object ()

### See Also

CGAL::Convex_hull_constructive_traits_2<R>
CGAL::Convex_hull_projective_xy_traits_2<Point_3>
CGAL::Convex_hull_projective_yz_traits_2<Point_3>
CGAL::Convex_hull_traits_2<R>