\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.3 - Planar Parameterization of Triangulated Surface Meshes
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CGAL::Two_vertices_parameterizer_3< ParameterizationMesh_3 > Class Template Reference

#include <CGAL/Two_vertices_parameterizer_3.h>

Definition

The class Two_vertices_parameterizer_3 parameterizes two extreme vertices of a 3D surface.

This kind of border parameterization is used by free border parameterizations.

Implementation note: To simplify the implementation, BorderParameterizer_3 models know only the ParameterizationMesh_3 class. They do not know the parameterization algorithm requirements or the kind of sparse linear system used.

Is Model Of:
BorderParameterizer_3
Examples:
Surface_mesh_parameterization/polyhedron_ex_parameterization.cpp.

Public Types

typedef ParameterizationMesh_3 Adaptor
 Export ParameterizationMesh_3 template parameter.
 

Public Member Functions

Parameterizer_traits_3
< Adaptor >::Error_code 
parameterize_border (Adaptor &mesh)
 Map two extreme vertices of the 3D mesh and mark them as parameterized.
 
bool is_border_convex ()
 Indicate if border's shape is convex. More...
 

Member Function Documentation

template<class ParameterizationMesh_3 >
bool CGAL::Two_vertices_parameterizer_3< ParameterizationMesh_3 >::is_border_convex ( )

Indicate if border's shape is convex.

Meaningless for free border parameterization algorithms.