Main Functions

The central functions, main entry point of the package.

Functions
template<class TriangleMesh , class Parameterizer , class HD , class VertexUVmap >
Error_code	CGAL::Surface_mesh_parameterization::parameterize (TriangleMesh &mesh, Parameterizer parameterizer, HD bhd, VertexUVmap uvmap)
	computes a one-to-one mapping from a 3D triangle surface mesh to a simple 2D domain. More...
template<class TriangleMesh , class HD , class VertexUVmap >
Error_code	CGAL::Surface_mesh_parameterization::parameterize (TriangleMesh &mesh, HD bhd, VertexUVmap uvmap)
	computes a one-to-one mapping from a 3D triangle surface mesh to a 2D circle, using Floater Mean Value Coordinates algorithm. More...

Function Documentation

parameterize() [1/2]

template<class TriangleMesh , class Parameterizer , class HD , class VertexUVmap >

Error_code CGAL::Surface_mesh_parameterization::parameterize	(	TriangleMesh &	mesh,
		Parameterizer	parameterizer,
		HD	bhd,
		VertexUVmap	uvmap
	)

#include <CGAL/Surface_mesh_parameterization/parameterize.h>

computes a one-to-one mapping from a 3D triangle surface mesh to a simple 2D domain.

The mapping is piecewise linear on the triangle mesh. The result is a pair (u,v) of parameter coordinates for each vertex of the input mesh.

A one-to-one mapping may be guaranteed or not, depending on the chosen Parameterizer algorithm.

Template Parameters

TriangleMesh	must be a model of FaceGraph.
Parameterizer	must be a model of Parameterizer_3.
HD	must be the halfedge_descriptor type corresponding to the graph traits of TriangleMesh.
VertexUVmap	must be a model of ReadWritePropertyMap with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and Point_2 (type deduced from TriangleMesh using Kernel_traits) as value type.

Parameters

mesh	a triangulated surface.
parameterizer	a parameterizer.
bhd	a halfedge descriptor on the boundary of mesh.
uvmap	an instanciation of the class VertexUVmap.

Precondition

mesh must be a triangular mesh.

The mesh border must be mapped onto a convex polygon (for fixed border parameterizations).

The vertices must be indexed (vimap must be initialized).

Examples:

Surface_mesh_parameterization/discrete_authalic.cpp, Surface_mesh_parameterization/lscm.cpp, Surface_mesh_parameterization/seam_Polyhedron_3.cpp, Surface_mesh_parameterization/simple_parameterization.cpp, and Surface_mesh_parameterization/square_border_parameterizer.cpp.

parameterize() [2/2]

template<class TriangleMesh , class HD , class VertexUVmap >

Error_code CGAL::Surface_mesh_parameterization::parameterize	(	TriangleMesh &	mesh,
		HD	bhd,
		VertexUVmap	uvmap
	)

#include <CGAL/Surface_mesh_parameterization/parameterize.h>

computes a one-to-one mapping from a 3D triangle surface mesh to a 2D circle, using Floater Mean Value Coordinates algorithm.

A one-to-one mapping is guaranteed.

The mapping is piecewise linear on the input mesh triangles. The result is a (u,v) pair of parameter coordinates for each vertex of the input mesh.

Template Parameters

TriangleMesh	must be a model of FaceGraph.
HD	must be the halfedge_descriptor type corresponding to the graph traits of TriangleMesh.
VertexUVmap	must be a model of ReadWritePropertyMap with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and Point_2 (type deduced from TriangleMesh using Kernel_traits) as value type.

Parameters

mesh	a triangulated surface.
bhd	a halfedge descriptor on the boundary of mesh.
uvmap	an instanciation of the class VertexUVmap.

Precondition

mesh must be a triangular mesh.

The vertices must be indexed (vimap must be initialized).