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

CGAL 4.8 - 2D Generalized Barycentric Coordinates

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CGAL::Barycentric_coordinates::Wachspress_2< Traits > Class Template Reference
2D Generalized Barycentric Coordinates Reference

`#include <CGAL/Barycentric_coordinates_2/Wachspress_2.h>`

## Definition

The class `Wachspress_2` implements 2D Wachspress coordinates (.

[2],[6],[9] ). This class is parameterized by a traits class `Traits`, and it is used as a coordinate class to complete the class `Generalized_barycentric_coordinates_2`. For a polygon with three vertices it is better to use the class `Triangle_coordinates_2`. Wachspress coordinates can be computed exactly, and they are always positive in the closure of a strictly convex polygon.

Template Parameters

  Traits | must be a model of the concepts `BarycentricTraits_2` and `PolygonTraits_2`.

Is Model Of:
  `BarycentricCoordinates_2`

Precondition
  The provided polygon is strictly convex.

Examples:
  Barycentric_coordinates_2/Wachspress_coordinates_example.cpp.

## Types
typedef Traits::FT | FT
| Number type.
typedef Traits::Point_2 | Point_2
| Point type.