\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.2 - 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
Traitsmust 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.