 a property map associating points to the elements of the point range

Type: a model of
ReadablePropertyMap
with value typegeom_traits::Point_3

Default:
CGAL::Identity_property_map<geom_traits::Point_3>
CGAL 5.6  Optimal Bounding Box

The function oriented_bounding_box()
computes an approximation of the optimal bounding box, which is defined as the rectangular box with smallest volume of all the rectangular boxes containing the input points.
Internally, the algorithm uses an optimization process to compute a transformation (rotation) \( {\mathcal R}_b\) such that the axisaligned box of the rotated input point set has a volume that is as small as possible given a fixed maximal number of optimization iterations.
Input
The input can be either a range of 3D points, or a polygon mesh.
Output
The result of the algorithm can be retrieved as either:
CGAL::make_hexahedron()
, which can be used to construct a mesh from these points.MutableFaceGraph
Note that when returning an array of points, these points are constructed from the axisaligned bounding box and some precision loss should therefore be expected if a kernel not providing exact constructions is used.
The algorithm is based on a paper by Chang, Gorissen, and Melchior [1].
Functions  
template<typename PointRange , typename Output , typename NamedParameters = parameters::Default_named_parameters>  
void  CGAL::oriented_bounding_box (const PointRange &points, Output &out, const NamedParameters &np=parameters::default_values()) 
The function oriented_bounding_box() computes an approximation of the optimal bounding box, which is defined as the rectangular box with smallest volume of all the rectangular boxes containing the input points. More...  
template<typename PolygonMesh , typename Output , typename NamedParameters = parameters::Default_named_parameters>  
void  CGAL::oriented_bounding_box (const PolygonMesh &pmesh, Output &out, const NamedParameters &np=parameters::default_values()) 
Extracts the vertices of the mesh as a point range and calls the overload using points as input. More...  
void CGAL::oriented_bounding_box  (  const PointRange &  points, 
Output &  out,  
const NamedParameters &  np = parameters::default_values() 

) 
#include <CGAL/Optimal_bounding_box/oriented_bounding_box.h>
The function oriented_bounding_box()
computes an approximation of the optimal bounding box, which is defined as the rectangular box with smallest volume of all the rectangular boxes containing the input points.
See Oriented Bounding Box Functions for more information.
PointRange  a model of Range . The value type may not be equal to the type Point_3 of the traits class if a point map is provided via named parameters (see below) to access points. 
Output  either the type Aff_transformation_3 of the traits class, or std::array<Point, 8> with Point being equivalent to the type Point_3 of the traits class, or a model of MutableFaceGraph 
NamedParameters  a sequence of Named Parameters 
points  the input range 
out  the resulting array of points or affine transformation 
np  an optional sequence of Named Parameters among the ones listed below 
 
 

void CGAL::oriented_bounding_box  (  const PolygonMesh &  pmesh, 
Output &  out,  
const NamedParameters &  np = parameters::default_values() 

) 
#include <CGAL/Optimal_bounding_box/oriented_bounding_box.h>
Extracts the vertices of the mesh as a point range and calls the overload using points as input.
PolygonMesh  a model of VertexListGraph 
Output  either the type Aff_transformation_3 of the traits class, or std::array<Point, 8> with Point being equivalent to the type Point_3 of the traits class, or a model of MutableFaceGraph 
NamedParameters  a sequence of Named Parameters 
pmesh  the input mesh 
out  the resulting array of points or affine transformation 
np  an optional sequence of Named Parameters among the ones listed below 
 
 
