Surface Parameterization Methods

This CGAL package implements several parameterization methods:

• Fixed border:
  • Tutte Barycentric Mapping [t-hdg-63.] One-to-one mapping is guaranteed for convex border.
  • Floater Mean Value Coordinates [cgal:f-mvc-03.] One-to-one mapping is guaranteed for convex border.
  • Discrete Conformal Map [cgal:eddhls-maam-95.] Conditionally guaranteed if all weights are positive and border is convex.
  • Discrete Authalic parameterization [cgal:dma-ipsm-02.] Conditionally guaranteed if all weights are positive and border is convex.
• Free border:
  • Least Squares Conformal Maps [cgal:lprm-lscm-02.]

Classes
class	CGAL::Barycentric_mapping_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class Barycentric_mapping_parameterizer_3 implements Tutte Barycentric Mapping algorithm [t-hdg-63.] This algorithm is also called Tutte Uniform Weights by other authors. More...
class	CGAL::Discrete_authalic_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class Discrete_authalic_parameterizer_3 implements the Discrete Authalic Parameterization algorithm [cgal:dma-ipsm-02.] This method is sometimes called DAP or just Authalic parameterization. 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 [cgal:eddhls-maam-95.] This algorithm is also called Discrete Conformal Parameterization (DCP), Discrete Harmonic Map or Fixed Conformal Parameterization by other authors. 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::LSCM_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
	The class LSCM_parameterizer_3 implements the Least Squares Conformal Maps (LSCM) parameterization [cgal:lprm-lscm-02.] 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 [cgal:f-mvc-03.] This method is sometimes called simply Floater parameterization. More...
class	CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >
	The class Parameterizer_traits_3 is the base class of all parameterization methods. More...

Enumerations
enum	CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::Error_code {   CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::OK, CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_EMPTY_MESH, CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_NON_TRIANGULAR_MESH, CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_NO_TOPOLOGICAL_DISC,   CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_BORDER_TOO_SHORT, CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_NON_CONVEX_BORDER, CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_CANNOT_SOLVE_LINEAR_SYSTEM, CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_NO_1_TO_1_MAPPING,   CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_OUT_OF_MEMORY, CGAL::Parameterizer_traits_3< ParameterizationMesh_3 >::ERROR_WRONG_PARAMETER }
	List of errors detected by this package. More...

Enumeration Type Documentation

template<class ParameterizationMesh_3>

enum CGAL::Parameterizer_traits_3::Error_code

List of errors detected by this package.

Enumerator
OK	Success.
ERROR_EMPTY_MESH	Input mesh is empty.
ERROR_NON_TRIANGULAR_MESH	Input mesh is not triangular.
ERROR_NO_TOPOLOGICAL_DISC	Input mesh is not a topological disc.
ERROR_BORDER_TOO_SHORT	This border parameterization requires a longer border.
ERROR_NON_CONVEX_BORDER	This parameterization method requires a convex border.
ERROR_CANNOT_SOLVE_LINEAR_SYSTEM	Cannot solve linear system.
ERROR_NO_1_TO_1_MAPPING	Parameterization failed: no one-to-one mapping.
ERROR_OUT_OF_MEMORY	Not enough memory.
ERROR_WRONG_PARAMETER	A method received an unexpected parameter.