CGAL::Orthtree_traits_3< GeomTraits > Struct Template Reference

#include <CGAL/Orthtree_traits_3.h>

Definition

The class Orthtree_traits_3 can be used as a template parameter of the Orthtree class.

Template Parameters

GeomTraits

model of Kernel.

Is Model Of:

OrthtreeTraits

See also

CGAL::Octree

CGAL::Orthtree_traits_2

CGAL::Orthtree_traits_d

Types
enum	Adjacency
	Two directions along each axis in Cartesian space, relative to a node. More...
typedef Dimension_tag< 3 >	Dimension
	Dimension type.
typedef Bbox_3	Bbox_d
	Bounding box type.
typedef GeomTraits::FT	FT
	Number type.
typedef GeomTraits::Point_3	Point_d
	Point type.
typedef GeomTraits::Sphere_3	Sphere_d
	Sphere type.
typedef GeomTraits::Cartesian_const_iterator_3	Cartesian_const_iterator_d
	An iterator over the Cartesian coordinates.
typedef std::array< FT, Dimension::value >	Array
	Array type.
typedef unspecified_type	Construct_point_d_from_array
	Functor with an operator to construct a Point_d from an Array object.
typedef unspecified_type	Construct_bbox_d
	Functor with an operator to construct a Bbox_d from two Array objects (coordinates of minimum and maximum points).

Operations
Construct_point_d_from_array	construct_point_d_from_array_object () const
	Function used to construct an object of type Construct_point_d_from_array.
Construct_bbox_d	construct_bbox_d_object () const
	Function used to construct an object of type Construct_bbox_d.

Member Enumeration Documentation

Adjacency

template<typename GeomTraits >

enum CGAL::Orthtree_traits_3::Adjacency

Two directions along each axis in Cartesian space, relative to a node.

Directions are mapped to numbers as 3-bit integers, though the numbers 6 and 7 are not used because there are only 6 different directions.

The first two bits indicate the axis (00 = x, 01 = y, 10 = z), the third bit indicates the direction along that axis (0 = -, 1 = +).

The following diagram may be a useful reference:

       3 *
         |  * 5
         | /                  y+
         |/                   *  z+
0 *------+------* 1           | *
        /|                    |/
       / |                    +-----* x+
    4 *  |
         * 2

This lookup table may also be helpful:

Direction	bitset	number	Enum
-x	000	0	LEFT
+x	001	1	RIGHT
-y	010	2	DOWN
+y	011	3	UP
-z	100	4	BACK
+z	101	5	FRONT