\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0.4 - 2D and 3D Linear Geometry Kernel
Functions
CGAL::barycenter()
2D and 3D Linear Geometry Kernel Reference » Global Kernel Functions

See also
CGAL::centroid()

Functions

template<typename Kernel >
CGAL::Point_2< Kernel > CGAL::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< Kernel > CGAL::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< Kernel > 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)
 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< Kernel > 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)
 compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3. More...
 
template<typename Kernel >
CGAL::Point_2< Kernel > 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)
 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< Kernel > 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)
 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< Kernel > CGAL::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< Kernel > CGAL::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< Kernel > 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)
 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< Kernel > 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)
 compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3. More...
 
template<typename Kernel >
CGAL::Point_3< Kernel > 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)
 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< Kernel > 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)
 compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and w4. More...
 

Function Documentation

◆ barycenter() [1/6]

template<typename Kernel >
CGAL::Point_2<Kernel> 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<Kernel> 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<Kernel> 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<Kernel> 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<Kernel> 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<Kernel> 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.