CGAL 4.7 - Planar Parameterization of Triangulated Surface Meshes: Surface Parameterization Methods

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CGAL 4.7 - Planar Parameterization of Triangulated Surface Meshes

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Surface Parameterization Methods
Planar Parameterization of Triangulated Surface Meshes Reference

##

This CGAL package implements several parameterization methods:

- Fixed border:
  - Tutte Barycentric Mapping [10]. 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::Barycentric_mapping_parameterizer_3< ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d >
| The class Barycentric_mapping_parameterizer_3 implements Tutte Barycentric Mapping algorithm 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. 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::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. 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::Parameterizer_traits_3< ParameterizationMesh_3 >
| The class `Parameterizer_traits_3` is the base class of all parameterization methods. More...