Two_vertices_parameterizer_3<ParameterizationMesh

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CGAL::Two_vertices_parameterizer_3<ParameterizationMesh_3>

Definition

Two_vertices_parameterizer_3 is the default border parameterizer for Least Squares Conformal Maps parameterization.

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.

#include <CGAL/Two_vertices_parameterizer_3.h>

Is Model for the Concepts

Model of the BorderParameterizer_3 concept.

Design Pattern

BorderParameterizer_3 models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of ParameterizationMesh_3.

Parameters

The full template declaration is:

template<class ParameterizationMesh_3>
class Two_vertices_parameterizer_3;

Types

Two_vertices_parameterizer_3<ParameterizationMesh_3>::Adaptor
	Export ParameterizationMesh_3 template parameter.

Creation

Operations

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