#include <CGAL/Umbilics.h>

Definition

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

Template Parameters

TriangulatedSurfaceMesh	is the surface type.
Vertex2FTPropertyMap,Vertex2VectorPropertyMap	provide the differential properties of the surface associated to its vertices.

Requirements (checked at compile time) :

the types TriangulatedSurfaceMesh::Traits::FT and Vertex2FTPropertyMap::value_type must coincide;
the types TriangulatedSurfaceMesh::Traits::Vector_3 and Vertex2VectorPropertyMap::value_type must coincide;
the types TriangulatedSurfaceMesh::Vertex_handle, Vertex2FTPropertyMap::key_type and Vertex2VectorPropertyMap::key_type must coincide;

See Also: Umbilic; TriangulatedSurfaceMesh; Vertex2FTPropertyMap; Vertex2VectorPropertyMap

Types
typedef TriangulatedSurfaceMesh::Traits::FT	FT

Creation
	Umbilic_approximation (const TriangulatedSurfaceMesh &P, const Vertex2FTPropertyMap &vertex2k1_pm, const Vertex2FTPropertyMap &vertex2k2_pm, const Vertex2VectorPropertyMap &vertex2d1_pm, const Vertex2VectorPropertyMap &vertex2d2_pm)
	default constructor.

Operations
template<class OutputIterator >
OutputIterator	compute (OutputIterator it, FT size)
	Performs the approximation, `size` determines the size of the patches around vertices, taken as `size` times the size of the 1-ring. More...

Member Function Documentation

template<typename TriangulatedSurfaceMesh , typename Vertex2FTPropertyMap , typename Vertex2VectorPropertyMap >

template<class OutputIterator >

OutputIterator CGAL::Umbilic_approximation< TriangulatedSurfaceMesh, Vertex2FTPropertyMap, Vertex2VectorPropertyMap >::compute	(	OutputIterator	it,
		FT	size
	)

Performs the approximation, size determines the size of the patches around vertices, taken as size times the size of the 1-ring.

Umbilics are inserted into the OutputIterator it with value type Umbilic*.