\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.2 - Planar Parameterization of Triangulated Surface Meshes
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BorderParameterizer_3 Concept Reference
Concepts

Definition

BorderParameterizer_3 is a concept of class that parameterizes a given type of mesh, Adaptor, which is a model of the ParameterizationMesh_3 concept.

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.

Design Pattern

BorderParameterizer_3 models are Strategies [6] : they implement a strategy of border parameterization for models of ParameterizationMesh_3.

Creation

Construction and destruction are undefined.

Has Models:

CGAL::Circular_border_arc_length_parameterizer_3<ParameterizationMesh_3>

CGAL::Circular_border_uniform_parameterizer_3<ParameterizationMesh_3>

CGAL::Square_border_arc_length_parameterizer_3<ParameterizationMesh_3>

CGAL::Square_border_uniform_parameterizer_3<ParameterizationMesh_3>

CGAL::Two_vertices_parameterizer_3<ParameterizationMesh_3>

See Also
ParameterizerTraits_3
ParameterizationMesh_3

Types

typedef unspecified_type Adaptor
 Export ParameterizationMesh_3 template parameter.
 
typedef unspecified_type Error_code
 The various errors detected by this package.
 

Operations

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

Error_code BorderParameterizer_3::parameterize_border ( Adaptor &  mesh)

Assign to mesh's border vertices a 2D position (i.e. a (u, v) pair) on border's shape.

Mark them as parameterized. Return false on error.