\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Approximation of Ridges and Umbilics on Triangulated Surface Meshes

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CGAL::Umbilic< TriangleMesh > Class Template Reference
Approximation of Ridges and Umbilics on Triangulated Surface Meshes Reference

`#include <CGAL/Umbilics.h>`

## Definition

The class `Umbilic` stores the description of an umbilic.

See Also
  `Umbilic_approximation`

## Related Functions
(Note that these are not member functions.)
template<typename TriangleMesh >
std::ostream & | operator<< (std::ostream &os, const Umbilic< TriangleMesh > &u)

## Types
typedef boost::graph_traits < TriangleMesh > ::vertex_descriptor | vertex_descriptor
typedef TriangleMesh::halfedge_descriptor | halfedge_descriptor

## Access Functions
vertex_descriptor | vertex () const
Umbilic_type | umbilic_type () const
const std::list < halfedge_descriptor > & | contour_list () const

## Friends And Related Function Documentation

template<typename TriangleMesh >

std::ostream & operator<< | ( | std::ostream & | os,
|  | const Umbilic< TriangleMesh > & | u
| ) |  |
| related

Writes the location and the umbilic type to `os`.