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

Function Documentation

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

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

Compute 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`.
uvm	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).

#include <CGAL/Surface_mesh_parameterization/parameterize.h>

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.

template<class TriangleMesh , class HD , class VertexUVmap >

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

Compute 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`.
uvm	an instanciation of the class `VertexUVmap`.

Precondition: mesh must be a triangular mesh.; The vertices must be indexed (vimap must be initialized).

#include <CGAL/Surface_mesh_parameterization/parameterize.h>

Functions