3D Generalized Barycentric Coordinates Reference

Antonio Gomes, Dmitry Anisimov

The package 3D Generalized Barycentric Coordinates offers an efficient and robust implementation of three-dimensional closed-form generalized barycentric coordinates defined for convex simplicial polytopes.

Introduced in: CGAL 6.2
BibTeX: abha-gbc-26a
License: GPL

Classified Reference Pages

Concepts

• BarycentricTraits_3

Analytic Coordinates

• CGAL::Barycentric_coordinates::Wachspress_coordinates_3<TriangleMesh, VertexPointMap, GeomTraits>
• CGAL::Barycentric_coordinates::Mean_value_coordinates_3<TriangleMesh, VertexPointMap, GeomTraits>
• CGAL::Barycentric_coordinates::Discrete_harmonic_coordinates_3<TriangleMesh, VertexPointMap, GeomTraits>

Free Functions

• CGAL::Barycentric_coordinates::apply_barycentric_coordinates_3()
• CGAL::Barycentric_coordinates::tetrahedron_coordinates_3()
• CGAL::Barycentric_coordinates::wachspress_coordinates_3()
• CGAL::Barycentric_coordinates::mean_value_coordinates_3()
• CGAL::Barycentric_coordinates::discrete_harmonic_coordinates_3()
• CGAL::Barycentric_coordinates::boundary_coordinates_3()

Topics
	Concepts
	Generalized barycentric concepts.
	Analytic Coordinates
	Analytic coordinates and related classes.
	Free Functions
	Free functions to compute barycentric coordinates.

Files
file	CGAL/Barycentric_coordinates_3.h
	A convenience header that includes all free functions and classes for 3D barycentric coordinates in closed form.

Namespaces
namespace	CGAL::Barycentric_coordinates
	The namespace Barycentric_coordinates contains implementations of all generalized barycentric coordinates: 2D, 3D, related enumerations, etc.