\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.2 - 2D and 3D Linear Geometry Kernel
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Kernel::ConstructBarycenter_3 Concept Reference
Kernel Function Object Concepts

Definition

Refines:
AdaptableFunctor (with three arguments)
See Also
Kernel::ConstructCentroid_3
CGAL::centroid()
CGAL::barycenter()

Operations

A model of this concept must provide:

Kernel::Point_3 operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2)
 compute the barycenter of the points p1 and p2 with corresponding weights w1 and 1-w1.
 
Kernel::Point_3 operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2)
 compute the barycenter of the points p1 and p2 with corresponding weights w1 and w2. More...
 
Kernel::Point_3 operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2, const Kernel::Point_3 &p3)
 compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and 1-w1-w2.
 
Kernel::Point_3 operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2, const Kernel::Point_3 &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_3 operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2, const Kernel::Point_3 &p3, const Kernel::FT &w3, const Kernel::Point_3 &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_3 operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2, const Kernel::Point_3 &p3, const Kernel::FT &w3, const Kernel::Point_3 &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...
 

Member Function Documentation

Kernel::Point_3 Kernel::ConstructBarycenter_3::operator() ( const Kernel::Point_3 &  p1,
const Kernel::FT &  w1,
const Kernel::Point_3 &  p2,
const Kernel::FT &  w2 
)

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

Precondition
w1+w2 != 0.
Kernel::Point_3 Kernel::ConstructBarycenter_3::operator() ( const Kernel::Point_3 &  p1,
const Kernel::FT &  w1,
const Kernel::Point_3 &  p2,
const Kernel::FT &  w2,
const Kernel::Point_3 &  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.
Kernel::Point_3 Kernel::ConstructBarycenter_3::operator() ( const Kernel::Point_3 &  p1,
const Kernel::FT &  w1,
const Kernel::Point_3 &  p2,
const Kernel::FT &  w2,
const Kernel::Point_3 &  p3,
const Kernel::FT &  w3,
const Kernel::Point_3 &  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
w1+w2+w3+w4 != 0.