\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13.1 - 2D Generalized Barycentric Coordinates
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CGAL::Barycentric_coordinates::Mean_value_2< Traits > Class Template Reference
2D Generalized Barycentric Coordinates Reference

#include <CGAL/Barycentric_coordinates_2/Mean_value_2.h>

Definition

The class Mean_value_2 implements 2D mean value coordinates ( [5], [2], [3] ).

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 (triangle) it is better to use the class Triangle_coordinates_2. Mean value coordinates can be computed only approximately due to an inevitable square root operation, and they are necesserily positive only inside the kernel of a star-shaped polygon and inside any quadrilateral.

Template Parameters
Traitsmust be a model of the concept BarycentricTraits_2.
Is Model Of:
BarycentricCoordinates_2
Examples:
Barycentric_coordinates_2/Mean_value_coordinates_example.cpp, and Barycentric_coordinates_2/Terrain_height_modeling.cpp.

Types

typedef Traits::FT FT
 Number type.
 
typedef Traits::Point_2 Point_2
 Point type.