CGAL::Surface_mesh_parameterization::Two_vertices_parameterizer_3< TriangleMesh_ > Class Template Reference

#include <CGAL/Surface_mesh_parameterization/Two_vertices_parameterizer_3.h>

Definition

The class Two_vertices_parameterizer_3 parameterizes two extreme vertices of a 3D surface.

This kind of border parameterization is used by free border parameterizations.

Implementation note: To simplify the implementation, the border parameterizer knows only the TriangleMesh class and does not know the parameterization algorithm requirements or the kind of sparse linear system used.

Is Model Of:

Parameterizer_3

Template Parameters

TriangleMesh_

must be a model of FaceGraph.

Public Types
typedef TriangleMesh_	Triangle_mesh
	Triangle mesh type.
typedef boost::graph_traits< Triangle_mesh >::vertex_descriptor	vertex_descriptor
	Mesh vertex type.
typedef boost::graph_traits< Triangle_mesh >::halfedge_descriptor	halfedge_descriptor
	Mesh halfedge type.

Public Member Functions
	Two_vertices_parameterizer_3 ()
	Constructor.
	Two_vertices_parameterizer_3 (vertex_descriptor v1, vertex_descriptor v2)
	Constructor where fixed vertices are provided.
template<typename VertexUVmap , typename VertexIndexMap , typename VertexParameterizedMap >
Error_code	parameterize (const Triangle_mesh &mesh, halfedge_descriptor bhd, VertexUVmap uvmap, VertexIndexMap vimap, VertexParameterizedMap vpmap)
	maps two extreme vertices of the 3D mesh and mark them as parameterized. More...
bool	is_border_convex () const
	indicates if the border's shape is convex. More...

Member Function Documentation

is_border_convex()

template<typename TriangleMesh_ >

bool CGAL::Surface_mesh_parameterization::Two_vertices_parameterizer_3< TriangleMesh_ >::is_border_convex

(

)

const

indicates if the border's shape is convex.

Meaningless for free border parameterization algorithms.

parameterize()

template<typename TriangleMesh_ >

template<typename VertexUVmap , typename VertexIndexMap , typename VertexParameterizedMap >

Error_code CGAL::Surface_mesh_parameterization::Two_vertices_parameterizer_3< TriangleMesh_ >::parameterize	(	const Triangle_mesh &	mesh,
		halfedge_descriptor	bhd,
		VertexUVmap	uvmap,
		VertexIndexMap	vimap,
		VertexParameterizedMap	vpmap
	)

maps two extreme vertices of the 3D mesh and mark them as parameterized.

Template Parameters

VertexUVmap	must be a model of ReadWritePropertyMap with boost::graph_traits<Triangle_mesh>::vertex_descriptor as key type and Point_2 (type deduced from Triangle_mesh using Kernel_traits) as value type.
VertexIndexMap	must be a model of ReadablePropertyMap with boost::graph_traits<Triangle_mesh>::vertex_descriptor as key type and a unique integer as value type.
VertexParameterizedMap	must be a model of ReadWritePropertyMap with boost::graph_traits<Triangle_mesh>::vertex_descriptor as key type and a Boolean as value type.

Parameters

mesh	a triangulated surface.
bhd	a halfedge descriptor on the boundary of mesh.
uvmap	an instantiation of the class VertexUVmap.
vimap	an instantiation of the class VertexIndexMap.
vpmap	an instantiation of the class VertexParameterizedMap.

Precondition

mesh must be a triangular mesh.

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