Surface Parameterization Methods

This CGAL package implements several parameterization methods:

• Fixed border:
  • Tutte Barycentric Mapping [9]. One-to-one mapping is guaranteed for convex border.
  • Floater Mean Value Coordinates [5]. One-to-one mapping is guaranteed for convex border.
  • Discrete Conformal Map [3]. Conditionally guaranteed if all weights are positive and border is convex.
  • Discrete Authalic parameterization [2]. Conditionally guaranteed if all weights are positive and border is convex.
• Free border:
  • Least Squares Conformal Maps [7].

Classes
class	CGAL::Discrete_authalic_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class Discrete_authalic_parameterizer_3 implements the Discrete Authalic Parameterization algorithm. More...
class	CGAL::Discrete_conformal_map_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class Discrete_conformal_map_parameterizer_3 implements the Discrete Conformal Map (DCM) parameterization. More...
class	CGAL::Barycentric_mapping_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class Barycentric_mapping_parameterizer_3 implements Tutte Barycentric Mapping algorithm More...
class	CGAL::Fixed_border_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class Fixed_border_parameterizer_3 is the base class of fixed border parameterization methods (Tutte, Floater, ...). More...
class	CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >
	The class Parameterizer_traits_3 is the base class of all parameterization methods. More...
class	CGAL::Mean_value_coordinates_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class Mean_value_coordinates_parameterizer_3 implements Floater Mean Value Coordinates parameterization. More...
class	CGAL::LSCM_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class LSCM_parameterizer_3 implements the Least Squares Conformal Maps (LSCM) parameterization. More...