#include <CGAL/Surface_mesh_parameterization/MVC_post_processor_3.h>

Definition

template<class TriangleMesh_, class SolverTraits_ = Default>
class CGAL::Surface_mesh_parameterization::MVC_post_processor_3< TriangleMesh_, SolverTraits_ >

The class MVC_post_processor_3 implements the Free boundary linear Parameterization algorithm [7].

This parameterizer provides a post processing step to other parameterizers that do not necessarily return a valid embedding. It is based on the convexification of the initial (2D) parameterization and the resolution of a linear system with coefficients based on Mean Value Coordinates.

Is Model Of:: Parameterizer_3

Template Parameters

TriangleMesh_	must be a model of `FaceGraph`.
SolverTraits_	must be a model of `SparseLinearAlgebraTraits_d`. Default: If Eigen 3.1 (or greater) is available and `CGAL_EIGEN3_ENABLED` is defined, then an overload of `Eigen_solver_traits` is provided as default parameter: CGAL::Eigen_solver_traits< Eigen::BiCGSTAB<Eigen_sparse_matrix<double>::EigenType, Eigen::IncompleteLUT< double > > >

See also: CGAL::Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_, Solver_traits>

Public Types
typedef SolverTraits_	Solver_traits
	Solver traits type.

typedef TriangleMesh_	Triangle_mesh
	Triangle mesh type.

Public Member Functions
template<typename VertexUVMap , typename VertexIndexMap >
Error_code	parameterize (const Triangle_mesh &mesh, halfedge_descriptor bhd, VertexUVMap uvmap, const VertexIndexMap vimap)
	computes a one-to-one mapping from a triangular 2D surface mesh that is not necessarily embedded to a piece of the 2D space. More...

	MVC_post_processor_3 (Solver_traits sparse_la=Solver_traits())
	Constructor. More...

Constructor & Destructor Documentation

◆ MVC_post_processor_3()

template<class TriangleMesh_ , class SolverTraits_ = Default>

CGAL::Surface_mesh_parameterization::MVC_post_processor_3< TriangleMesh_, SolverTraits_ >::MVC_post_processor_3 ( Solver_traits sparse_la = Solver_traits() )

Constructor.

Parameters

sparse_la Traits object to access a sparse linear system.

Member Function Documentation

◆ parameterize()

template<class TriangleMesh_ , class SolverTraits_ = Default>

template<typename VertexUVMap , typename VertexIndexMap >

Error_code CGAL::Surface_mesh_parameterization::MVC_post_processor_3< TriangleMesh_, SolverTraits_ >::parameterize	(	const Triangle_mesh &	mesh,
		halfedge_descriptor	bhd,
		VertexUVMap	uvmap,
		const VertexIndexMap	vimap
	)

computes a one-to-one mapping from a triangular 2D surface mesh that is not necessarily embedded to a piece of the 2D space.