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 5.1
BibTeX: abha-gbc-25b
License: GPL

Classified Reference Pages

Concepts

• BarycentricTraits_3

Analytic Coordinates

• Wachspress_coordinates_3<TriangleMesh, GeomTraits, VertexPointMap>
• Mean_value_coordinates_3<TriangleMesh, GeomTraits, VertexPointMap>
• Discrete_harmonic_coordinates_3<TriangleMesh, GeomTraits, VertexPointMap>

Free Functions

• apply_barycentric_coordinates()
• tetrahedron_coordinates()
• wachspress_coordinates_3()
• mean_value_coordinates_3()
• discrete_harmonic_coordinates_3()
• boundary_coordinates_3()

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

Files
file	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.