CGAL 5.2 - 2D and 3D Linear Geometry Kernel
CGAL::barycenter()
CGAL::centroid()

## Functions

template<typename Kernel >
CGAL::Point_2< KernelCGAL::barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2)
compute the barycenter of the points p1 and p2 with corresponding weights w1 and 1-w1.

template<typename Kernel >
CGAL::Point_2< KernelCGAL::barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2)
compute the barycenter of the points p1 and p2 with corresponding weights w1 and w2. More...

template<typename Kernel >
CGAL::Point_2< KernelCGAL::barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3)
compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and 1-w1-w2.

template<typename Kernel >
CGAL::Point_2< KernelCGAL::barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3)
compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3. More...

template<typename Kernel >
CGAL::Point_2< KernelCGAL::barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_2< Kernel > &p4)
compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and 1-w1-w2-w3.

template<typename Kernel >
CGAL::Point_2< KernelCGAL::barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_2< Kernel > &p4, const Kernel::FT &w4)
compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and w4. More...

template<typename Kernel >
CGAL::Point_3< KernelCGAL::barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2)
compute the barycenter of the points p1 and p2 with corresponding weights w1 and 1-w1.

template<typename Kernel >
CGAL::Point_3< KernelCGAL::barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2)
compute the barycenter of the points p1 and p2 with corresponding weights w1 and w2. More...

template<typename Kernel >
CGAL::Point_3< KernelCGAL::barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3)
compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and 1-w1-w2.

template<typename Kernel >
CGAL::Point_3< KernelCGAL::barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3)
compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3. More...

template<typename Kernel >
CGAL::Point_3< KernelCGAL::barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_3< Kernel > &p4)
compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and 1-w1-w2-w3.

template<typename Kernel >
CGAL::Point_3< KernelCGAL::barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_3< Kernel > &p4, const Kernel::FT &w4)
compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and w4. More...

## ◆ barycenter() [1/6]

template<typename Kernel >
 CGAL::Point_2 CGAL::barycenter ( const CGAL::Point_2< Kernel > & p1, const Kernel::FT & w1, const CGAL::Point_2< Kernel > & p2, const Kernel::FT & w2 )

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1 and p2 with corresponding weights w1 and w2.

Precondition
w1+w2 != 0.

## ◆ barycenter() [2/6]

template<typename Kernel >
 CGAL::Point_2 CGAL::barycenter ( const CGAL::Point_2< Kernel > & p1, const Kernel::FT & w1, const CGAL::Point_2< Kernel > & p2, const Kernel::FT & w2, const CGAL::Point_2< Kernel > & p3, const Kernel::FT & w3 )

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3.

Precondition
w1+w2+w3 != 0.

## ◆ barycenter() [3/6]

template<typename Kernel >
 CGAL::Point_2 CGAL::barycenter ( const CGAL::Point_2< Kernel > & p1, const Kernel::FT & w1, const CGAL::Point_2< Kernel > & p2, const Kernel::FT & w2, const CGAL::Point_2< Kernel > & p3, const Kernel::FT & w3, const CGAL::Point_2< Kernel > & p4, const Kernel::FT & w4 )

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and w4.

Precondition
w1+w2+w3+w4 != 0.

## ◆ barycenter() [4/6]

template<typename Kernel >
 CGAL::Point_3 CGAL::barycenter ( const CGAL::Point_3< Kernel > & p1, const Kernel::FT & w1, const CGAL::Point_3< Kernel > & p2, const Kernel::FT & w2 )

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1 and p2 with corresponding weights w1 and w2.

Precondition
w1+w2 != 0.

## ◆ barycenter() [5/6]

template<typename Kernel >
 CGAL::Point_3 CGAL::barycenter ( const CGAL::Point_3< Kernel > & p1, const Kernel::FT & w1, const CGAL::Point_3< Kernel > & p2, const Kernel::FT & w2, const CGAL::Point_3< Kernel > & p3, const Kernel::FT & w3 )

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3.

Precondition
w1+w2+w3 != 0.

## ◆ barycenter() [6/6]

template<typename Kernel >
 CGAL::Point_3 CGAL::barycenter ( const CGAL::Point_3< Kernel > & p1, const Kernel::FT & w1, const CGAL::Point_3< Kernel > & p2, const Kernel::FT & w2, const CGAL::Point_3< Kernel > & p3, const Kernel::FT & w3, const CGAL::Point_3< Kernel > & p4, const Kernel::FT & w4 )

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and w4.

Precondition
w1+w2+w3+w4 != 0.