\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.2 - Approximation of Ridges and Umbilics on Triangulated Surface Meshes
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CGAL::Umbilic_approximation< TriangulatedSurfaceMesh, Vertex2FTPropertyMap, Vertex2VectorPropertyMap > Class Template Reference
Approximation of Ridges and Umbilics on Triangulated Surface Meshes Reference

#include <CGAL/Umbilics.h>

Definition

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

Template Parameters
TriangulatedSurfaceMeshis the surface type.
Vertex2FTPropertyMap,Vertex2VectorPropertyMapprovide 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*.