CGAL 4.7 - 2D and 3D Linear Geometry Kernel: Kernel::ConstructBarycenter_3 Concept Reference

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 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`.