\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.2 - Planar Parameterization of Triangulated Surface Meshes
Enumerations | Functions
Enums
Triangulated Surface Mesh Parameterization Reference

The enum classes defined and used in this package.

Enumerations

enum  CGAL::Surface_mesh_parameterization::Error_code {
  CGAL::Surface_mesh_parameterization::OK, CGAL::Surface_mesh_parameterization::ERROR_EMPTY_MESH, CGAL::Surface_mesh_parameterization::ERROR_NON_TRIANGULAR_MESH, CGAL::Surface_mesh_parameterization::ERROR_NO_TOPOLOGICAL_DISC,
  CGAL::Surface_mesh_parameterization::ERROR_BORDER_TOO_SHORT, CGAL::Surface_mesh_parameterization::ERROR_NON_CONVEX_BORDER, CGAL::Surface_mesh_parameterization::ERROR_CANNOT_SOLVE_LINEAR_SYSTEM, CGAL::Surface_mesh_parameterization::ERROR_NO_1_TO_1_MAPPING,
  CGAL::Surface_mesh_parameterization::ERROR_WRONG_PARAMETER
}
 List of errors detected by this package. More...
 
enum  CGAL::Surface_mesh_parameterization::Weight_type { CGAL::Surface_mesh_parameterization::Cotangent = 0, CGAL::Surface_mesh_parameterization::Mean_value }
 The two possible weight types available in the Orbifold Tutte parameterization. More...
 
enum  CGAL::Surface_mesh_parameterization::Cone_type { CGAL::Surface_mesh_parameterization::First_unique_cone = 0, CGAL::Surface_mesh_parameterization::Second_unique_cone, CGAL::Surface_mesh_parameterization::Duplicated_cone }
 A classification type for the cones used in Orbifold Tutte parameterization. More...
 
enum  CGAL::Surface_mesh_parameterization::Orbifold_type { CGAL::Surface_mesh_parameterization::Square = 0, CGAL::Surface_mesh_parameterization::Diamond, CGAL::Surface_mesh_parameterization::Triangle, CGAL::Surface_mesh_parameterization::Parallelogram }
 The four Orbifold types available in the Orbifold Tutte parameterization. More...
 

Functions

const char * CGAL::Surface_mesh_parameterization::get_error_message (int error_code)
 Get the message corresponding to an error code. More...
 
const char * CGAL::Surface_mesh_parameterization::get_orbifold_type (int orb_type)
 Convert the orbifold type to a literal message. More...
 

Enumeration Type Documentation

◆ Cone_type

enum CGAL::Surface_mesh_parameterization::Cone_type

#include <CGAL/Surface_mesh_parameterization/orbifold_enums.h>

A classification type for the cones used in Orbifold Tutte parameterization.

Enumerator
First_unique_cone 

Marker for the cone found at the beginning of the seam.

Second_unique_cone 

Marker for the cone found at the end of the seam.

Duplicated_cone 

Marker for all the other cones.

Cones are duplicated in the sense that when the seam is "opened", the cone appears at two different positions.

◆ Error_code

enum CGAL::Surface_mesh_parameterization::Error_code

#include <CGAL/Surface_mesh_parameterization/Error_code.h>

List of errors detected by this package.

Enumerator
OK 

Success.

ERROR_EMPTY_MESH 

Input mesh is empty.

ERROR_NON_TRIANGULAR_MESH 

Input mesh is not triangular.

ERROR_NO_TOPOLOGICAL_DISC 

Input mesh is not a topological disc.

ERROR_BORDER_TOO_SHORT 

This border parameterization requires a longer border.

ERROR_NON_CONVEX_BORDER 

This parameterization method requires a convex border.

ERROR_CANNOT_SOLVE_LINEAR_SYSTEM 

Cannot solve linear system.

ERROR_NO_1_TO_1_MAPPING 

Parameterization failed: no one-to-one mapping.

ERROR_WRONG_PARAMETER 

A method received an unexpected parameter.

Examples:
Surface_mesh_parameterization/discrete_authalic.cpp, and Surface_mesh_parameterization/square_border_parameterizer.cpp.

◆ Orbifold_type

enum CGAL::Surface_mesh_parameterization::Orbifold_type

#include <CGAL/Surface_mesh_parameterization/orbifold_enums.h>

The four Orbifold types available in the Orbifold Tutte parameterization.

The different shapes result from the number of cones and the angle constraints at the cones.

Enumerator
Square 

Three cones, forming a square-shaped basic tile.

Diamond 

Three cones, forming a diamond-shaped basic tile.

Triangle 

Three cones, forming a triangle-shaped basic tile.

Parallelogram 

Four cones, forming a parallelogram-shaped basic tile.

◆ Weight_type

enum CGAL::Surface_mesh_parameterization::Weight_type

#include <CGAL/Surface_mesh_parameterization/orbifold_enums.h>

The two possible weight types available in the Orbifold Tutte parameterization.

Enumerator
Cotangent 

When Cotangent weights are used, the orbifold-Tutte embedding globally minimizes the Dirichlet energy and approximates conformal mappings.

Mean_value 

Mean Value Coordinate weights are guaranteed to generate positive edge weights, and the parameterization is guaranteed to be injective.

Function Documentation

◆ get_error_message()

const char* CGAL::Surface_mesh_parameterization::get_error_message ( int  error_code)

#include <CGAL/Surface_mesh_parameterization/Error_code.h>

Get the message corresponding to an error code.

Parameters
error_codeThe code returned by parameterize()
Returns
The string describing the error code.
Examples:
Surface_mesh_parameterization/discrete_authalic.cpp, and Surface_mesh_parameterization/square_border_parameterizer.cpp.

◆ get_orbifold_type()

const char* CGAL::Surface_mesh_parameterization::get_orbifold_type ( int  orb_type)

#include <CGAL/Surface_mesh_parameterization/orbifold_enums.h>

Convert the orbifold type to a literal message.

Parameters
orb_typethe integer value in the enum
Returns
the string describing the Orbifold type.