2D Generalized Barycentric Coordinates Reference

Dmitry Anisimov, David Bommes, Kai Hormann, and Pierre Alliez

This package offers an efficient and robust implementation of 2D generalized barycentric coordinates defined for simple polygons in the plane. If coordinates with respect to multivariate scattered points instead of a polygon are required, please refer to natural neighbor coordinates from the Package 2D and Surface Function Interpolation.

Introduced in: CGAL 4.6
BibTeX: cgal:abha-gbc-23a
License: GPL

Classified Reference Pages

Concepts

• BarycentricTraits_2
• DiscretizedDomain_2
• BarycentricCoordinates_2

Analytic Coordinates

• Wachspress_coordinates_2<VertexRange, GeomTraits, PointMap>
• Mean_value_coordinates_2<VertexRange, GeomTraits, PointMap>
• Discrete_harmonic_coordinates_2<VertexRange, GeomTraits, PointMap>

Harmonic Coordinates

• Delaunay_domain_2<VertexRange, GeomTraits, PointMap>
• Harmonic_coordinates_2<VertexRange, DiscretizedDomain, GeomTraits, PointMap>

Free Functions

• segment_coordinates_2()
• triangle_coordinates_2()
• wachspress_weights_2()
• wachspress_coordinates_2()
• mean_value_weights_2()
• mean_value_coordinates_2()
• discrete_harmonic_weights_2()
• discrete_harmonic_coordinates_2()
• boundary_coordinates_2()

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

Files
file	Barycentric_coordinates_2.h
	A convenience header that includes all free functions and classes for 2D barycentric coordinates in closed form.

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