CGAL::barycenter

Definition

The function barycenter computes the barycenter (weighted center of mass) of a set of weighted 2D or 3D objects. The weight associated to each object is specified using a std::pair storing the object and its weight.

#include <CGAL/barycenter.h>

There is a set of overloaded barycenter functions for 2D and 3D weighted objects. The user can also optionally pass an explicit kernel, in case the default, based on Kernel_traits is not sufficient. The dimension is also deduced automatically.

template < typename InputIterator >
K::Point_2	barycenter ( InputIterator first, InputIterator beyond)
		computes the barycenter of a non-empty set of 2D weighted points. K is Kernel_traits<std::iterator_traits<InputIterator>::value_type::first_type>::Kernel. The value type must be std::pair<K::Point_2, K::FT>. Precondition: first != beyond, and the sum of the weights is non-zero.
template < typename InputIterator, typename K >
K::Point_2	barycenter ( InputIterator first, InputIterator beyond, K k)
		computes the barycenter of a non-empty set of 2D weighted points. The value type must be std::pair<K::Point_2, K::FT>. Precondition: first != beyond, and the sum of the weights is non-zero.
template < typename InputIterator >
K::Point_3	barycenter ( InputIterator first, InputIterator beyond)
		computes the barycenter of a non-empty set of 3D weighted points. K is Kernel_traits<std::iterator_traits<InputIterator>::value_type::first_type>::Kernel. The value type must be std::pair<K::Point_3, K::FT>. Precondition: first != beyond, and the sum of the weights is non-zero.
template < typename InputIterator, typename K >
K::Point_3	barycenter ( InputIterator first, InputIterator beyond, K k)
		computes the barycenter of a non-empty set of 3D weighted points. The value type must be std::pair<K::Point_3, K::FT>. Precondition: first != beyond, and the sum of the weights is non-zero.

See Also