\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13 - Approximation of Ridges and Umbilics on Triangulated Surface Meshes
List of all members | Related Functions
CGAL::Ridge_line< TriangleMesh > Class Template Reference
Approximation of Ridges and Umbilics on Triangulated Surface Meshes Reference

#include <CGAL/Ridges.h>

Definition

The class Ridge_line stores the description of a ridge line.

The list of halfedges defines a connected sequence of edges (but not as oriented halfedges). The scalar \( b\) paired with a halfedge \( pq\) is the barycentric coordinate of the crossing point \( r\) with the ridge: \( r = b\times p + (1-b)\times q\).

See also
Ridge_approximation

Related Functions

(Note that these are not member functions.)

template<typename TriangleMesh >
std::ostream & operator<< (std::ostream &os, const Ridge_line< TriangleMesh > &r)
 

Types

typedef TriangleMesh::Traits::FT FT
 
typedef boot::graph_traits< TriangleMesh >::halfedge_descriptor halfedge_descriptor
 
typedef std::pair< halfedge_descriptor, FT > Ridge_halfedge
 A halfedge crossed by a ridge is paired with the barycentric coordinate of the crossing point.
 

Creation

 Ridge_line ()
 default constructor.
 

Access Functions

Ridge_type line_type () const
 
FT strength () const
 
FT sharpness () const
 
const std::list< Ridge_halfedge > * line () const
 

Friends And Related Function Documentation

◆ operator
template<typename TriangleMesh >
std::ostream & operator<< ( std::ostream &  os,
const Ridge_line< TriangleMesh > &  r 
)
related

Writes the line type, strength, sharpness and coordinates of the points of the polyline to os.