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CGAL 4.5.2 - Principal Component Analysis
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Functions
CGAL::barycenter()
Principal Component Analysis Reference

The function barycenter() computes the barycenter (weighted center of mass) of a set of 2D or 3D weighted points.

The weight associated to each point is specified using a std::pair storing the point and its weight.

There is a set of overloaded barycenter functions for 2D and 3D weighted points. 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.

See Also
CGAL::centroid()
CGAL::barycenter() (Linear Kernel)

Functions

template<typename InputIterator >
Deduced CGAL::barycenter (InputIterator first, InputIterator beyond)
 computes the barycenter of a non-empty set of 2D or 3D weighted points. More...
 
template<typename InputIterator , typename K >
Deduced CGAL::barycenter (InputIterator first, InputIterator beyond, const K &k)
 computes the barycenter of a non-empty set of 2D or 3D weighted points. More...
 

Function Documentation

template<typename InputIterator >
Deduced CGAL::barycenter ( InputIterator  first,
InputIterator  beyond 
)

computes the barycenter of a non-empty set of 2D or 3D weighted points.

Returns
K::Point_2 or K::Point_3 depending on the dimension of the input values, where K is
CGAL::Kernel_traits<
std::iterator_traits<InputIterator>::value_type::first_type
>::Kernel
Requires:
The value type of InputIterator must be std::pair<K::Point_2, K::FT> or std::pair<K::Point_3, K::FT>.
Precondition
first != beyond, and the sum of the weights is non-zero.

#include <CGAL/barycenter.h>

template<typename InputIterator , typename K >
Deduced CGAL::barycenter ( InputIterator  first,
InputIterator  beyond,
const K &  k 
)

computes the barycenter of a non-empty set of 2D or 3D weighted points.

Returns
K::Point_2 or K::Point_3 depending on the dimension of the input values.
Requires:
The value type of InputIterator must be std::pair<K::Point_2, K::FT> or std::pair<K::Point_3, K::FT>.
Precondition
first != beyond, and the sum of the weights is non-zero.

#include <CGAL/barycenter.h>