\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - Planar Parameterization of Triangulated Surface Meshes
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CGAL::Square_border_arc_length_parameterizer_3< ParameterizationMesh_3 > Class Template Reference
Border Parameterization Methods

#include <CGAL/Square_border_parameterizer_3.h>

Inherits from

CGAL::Square_border_parameterizer_3< ParameterizationMesh_3 >.

Definition

This class parameterizes the border of a 3D surface onto a square, with an arc-length parameterization: (u,v) values are proportional to the length of border edges.

Square_border_parameterizer_3 implements most of the border parameterization algorithm. This class implements only compute_edge_length() to compute a segment's length.

Is Model Of:
BorderParameterizer_3
Examples:
Surface_mesh_parameterization/Complete_parameterization_example.cpp, and Surface_mesh_parameterization/polyhedron_ex_parameterization.cpp.

Protected Member Functions

virtual double compute_edge_length (const Adaptor &mesh, Vertex_const_handle source, Vertex_const_handle target)
 Compute the length of an edge. More...
 

Additional Inherited Members

- Public Types inherited from CGAL::Square_border_parameterizer_3< ParameterizationMesh_3 >
typedef ParameterizationMesh_3 Adaptor
 Export ParameterizationMesh_3 template parameter.
 
- Public Member Functions inherited from CGAL::Square_border_parameterizer_3< ParameterizationMesh_3 >
virtual ~Square_border_parameterizer_3 ()
 Destructor of base class should be virtual.
 
Parameterizer_traits_3
< Adaptor >::Error_code 		parameterize_border (Adaptor &mesh)
 Assign to mesh's border vertices a 2D position (i.e. a (u,v) pair) on border's shape. More...
 
bool is_border_convex ()
 Indicate if border's shape is convex.
 

Member Function Documentation

template<class ParameterizationMesh_3 >
virtual double CGAL::Square_border_arc_length_parameterizer_3< ParameterizationMesh_3 >::compute_edge_length ( const Adaptor &  mesh,
Vertex_const_handle  source,
Vertex_const_handle  target 
)
protectedvirtual

Compute the length of an edge.

Arc-length border parameterization: (u,v) values are proportional to the length of border edges.

Implements CGAL::Square_border_parameterizer_3< ParameterizationMesh_3 >.