CGAL::barycenter()

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. 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)
	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. 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)
	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. 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, 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. 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)
	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. 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)
	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. 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, 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() [1/12]

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
	)

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1 and p2 with corresponding weights w1 and 1-w1.

barycenter() [2/12]

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() [3/12]

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
	)

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and 1-w1-w2.

barycenter() [4/12]

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() [5/12]

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
	)

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and 1-w1-w2-w3.

barycenter() [6/12]

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() [7/12]

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
	)

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1 and p2 with corresponding weights w1 and 1-w1.

barycenter() [8/12]

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() [9/12]

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
	)

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and 1-w1-w2.

barycenter() [10/12]

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() [11/12]

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
	)

#include <CGAL/Kernel/global_functions.h>

compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and 1-w1-w2-w3.

barycenter() [12/12]

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.