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The function centroid computes the (uniform) center of mass of a set of 2D or 3D bounded objects. In 2D these objects include points, segments, triangles, iso rectangles, circles and disks. In 3D these objects include points, segments, triangles, iso cuboids, spheres, balls and tetrahedra.
#include <CGAL/centroid.h>
There is a set of overloaded centroid functions for 2D and 3D objects. The user can also optionally pass an explicit kernel, in case the default based on Kernel_traits is not sufficient. The default dimension tag is deduced automatically, although the user can pass a tag specifying the dimension of the objects to be considered for the centroid computation. For example, the default dimension of a tetrahedron is 3, but specifying a dimension 0 computes the centroid of the tetrahedron vertices (3D points), specifying a dimension 1 computes the centroid of the tetrahedron edges (3D segments) and specifying a dimension 2 computes the centroid of the tetrahedron facets (3D triangles).
| template < typename InputIterator, typename Tag > | ||||
| K::Point_2 | centroid ( InputIterator first, InputIterator beyond, Tag t) | |||
computes the centroid of a non-empty set of 2D objects. The tag is used to specify the dimension to be considered from the objects. K is Kernel_traits<std::iterator_traits<InputIterator>::value_type>::Kernel.
The value type must be either K::Point_2, K::Segment_2, K::Triangle_2, K::Rectangle_2 or K::Circle_2. To fit a set of disks the user must call the function with value type K::Circle_2 and with dimension tag of 2. The tag must range between CGAL::Dimension_tag<0> and CGAL::Dimension_tag<2>.
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| template < typename InputIterator, typename K, typename Tag > | ||||
| K::Point_2 | centroid ( InputIterator first, InputIterator beyond, K k, Tag t) | |||
computes the centroid of a non-empty set of 2D objects. The tag is used to specify the dimension to be considered from the objects. K is Kernel_traits<std::iterator_traits<InputIterator>::value_type>::Kernel.
The value type must be either K::Point_2, K::Segment_2, K::Triangle_2, K::Rectangle_2 or K::Circle_2. To fit a set of disks the user must call the function with value type K::Circle_2 and with dimension tag of 2. The tag must range between CGAL::Dimension_tag<0> and CGAL::Dimension_tag<2>.
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| template < typename InputIterator, typename Tag > | ||||
| K::Point_3 | centroid ( InputIterator first, InputIterator beyond, Tag t) | |||
computes the centroid of a non-empty set of 3D objects. The tag is used to specify the dimension to be considered from the objects. K is Kernel_traits<std::iterator_traits<InputIterator>::value_type>::Kernel.
The value type must be either K::Point_3, K::Segment_3, Triangle_3, Cuboid_3, Sphere_3 or Tetrahedron_3. To fit a set of balls the user must call the function with value type K::Sphere_3 and with dimension tag of 3. The tag must range between CGAL::Dimension_tag<0> and CGAL::Dimension_tag<3>.
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| template < typename InputIterator, typename K, typename Tag > | ||||
| K::Point_3 | centroid ( InputIterator first, InputIterator beyond, K k, Tag t) | |||
computes the centroid of a non-empty set of 3D objects. The tag is used to specify the dimension to be considered from the objects. K is Kernel_traits<std::iterator_traits<InputIterator>::value_type>::Kernel.
The value type must be either K::Point_3, K::Segment_3, Triangle_3, Cuboid_3, Sphere_3 or Tetrahedron_3. To fit a set of balls the user must call the function with value type K::Sphere_3 and with dimension tag of 3. The tag must range between CGAL::Dimension_tag<0> and CGAL::Dimension_tag<3>.
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