CGAL 5.6.1 - 2D and 3D Linear Geometry Kernel
Kernel::ConstructBarycenter_2 Concept Reference

## Definition

Refines
AdaptableTernaryFunction
Kernel::ConstructCentroid_2
CGAL::centroid()
CGAL::barycenter()

## Operations

A model of this concept must provide:

Kernel::Point_2 operator() (const Kernel::Point_2 &p1, const Kernel::FT &w1, const Kernel::Point_2 &p2)
compute the barycenter of the points p1 and p2 with corresponding weights w1 and 1-w1.

Kernel::Point_2 operator() (const Kernel::Point_2 &p1, const Kernel::FT &w1, const Kernel::Point_2 &p2, const Kernel::FT &w2)
compute the barycenter of the points p1 and p2 with corresponding weights w1 and w2. More...

Kernel::Point_2 operator() (const Kernel::Point_2 &p1, const Kernel::FT &w1, const Kernel::Point_2 &p2, const Kernel::FT &w2, const Kernel::Point_2 &p3)
compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and 1-w1-w2.

Kernel::Point_2 operator() (const Kernel::Point_2 &p1, const Kernel::FT &w1, const Kernel::Point_2 &p2, const Kernel::FT &w2, const Kernel::Point_2 &p3, const Kernel::FT &w3)
compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3. More...

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

Kernel::Point_2 operator() (const Kernel::Point_2 &p1, const Kernel::FT &w1, const Kernel::Point_2 &p2, const Kernel::FT &w2, const Kernel::Point_2 &p3, const Kernel::FT &w3, const Kernel::Point_2 &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...

## ◆ operator()() [1/3]

 Kernel::Point_2 Kernel::ConstructBarycenter_2::operator() ( const Kernel::Point_2 & p1, const Kernel::FT & w1, const Kernel::Point_2 & p2, const Kernel::FT & w2 )

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

Precondition
w1+w2 != 0.

## ◆ operator()() [2/3]

 Kernel::Point_2 Kernel::ConstructBarycenter_2::operator() ( const Kernel::Point_2 & p1, const Kernel::FT & w1, const Kernel::Point_2 & p2, const Kernel::FT & w2, const Kernel::Point_2 & p3, const Kernel::FT & w3 )

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

Precondition
w1+w2+w3 != 0.

## ◆ operator()() [3/3]

 Kernel::Point_2 Kernel::ConstructBarycenter_2::operator() ( const Kernel::Point_2 & p1, const Kernel::FT & w1, const Kernel::Point_2 & p2, const Kernel::FT & w2, const Kernel::Point_2 & p3, const Kernel::FT & w3, const Kernel::Point_2 & p4, const Kernel::FT & w4 )

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

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