CGAL::Umbilic_approximation< TriangleMesh, VertexFTMap, VertexVectorMap > Class Template Reference

#include <CGAL/Umbilics.h>

Definition

The class Umbilic_approximation computes the approximation of umbilics on a triangular polyhedral surface.

Template Parameters

TriangleMesh	is the surface type. In the following let K be Kernel_traits<boost::property_traits<TriangleMesh,CGAL::vertex_point_t>::value_type>::Kernel
VertexFTMap	A property map with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and K::FT as value type.
VertexVectorMap	A property map with boost::graph_traits<TriangleMesh>::vertex_descriptor as key type and K::Vector_3 as value type.

Precondition

(checked at compile time)

The types K::FT and boost::property_traits<VertexFTMap>::value_type must coincide.

The types K::Vector_3 and boost::property_traits<VertexVectorMap>::value_type must coincide.

The types boost::graph_traits<TriangleMesh>::vertex_descriptor, and boost::property_traits<VertexFTMap>::key_type, and boost::property_traits<VertexVectorMap>::key_type must coincide.

See also

Umbilic

Types
typedef TriangleMesh::Traits::FT	FT

Creation
	Umbilic_approximation (const TriangleMesh &tm, VertexFTMap vertex_k1_pm, VertexFTMap vertex_k2_pm, VertexVectorMap vertex_d1_pm, VertexVectorMap vertex_d2_pm)
	Constructor. More...

Operations
template<class OutputIterator >
OutputIterator	compute (OutputIterator it, FT size)
	Performs the approximation. More...

Constructor & Destructor Documentation

Umbilic_approximation()

template<typename TriangleMesh , typename VertexFTMap , typename VertexVectorMap >

CGAL::Umbilic_approximation< TriangleMesh, VertexFTMap, VertexVectorMap >::Umbilic_approximation	(	const TriangleMesh &	tm,
		VertexFTMap	vertex_k1_pm,
		VertexFTMap	vertex_k2_pm,
		VertexVectorMap	vertex_d1_pm,
		VertexVectorMap	vertex_d2_pm
	)

Constructor.

Parameters

tm	the triangle mesh
vertex_k1_pm	maximal principal curvatures
vertex_k2_pm	minimal principal curvatures
vertex_d1_pm	maximal principal directions of curvature
vertex_d2_pm	minimal principal directions of curvature

Member Function Documentation

compute()

template<typename TriangleMesh , typename VertexFTMap , typename VertexVectorMap >

template<class OutputIterator >

OutputIterator CGAL::Umbilic_approximation< TriangleMesh, VertexFTMap, VertexVectorMap >::compute	(	OutputIterator	it,
		FT	size
	)

Performs the approximation.

The value of size determines the size of the patches around vertices, taken as size times the size of the 1-ring. Umbilics are inserted into it.

Template Parameters

OutputIterator

an output iterator with value type Umbilic*.