Enums

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

enum CGAL::Surface_mesh_parameterization::Cone_type

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

#include <CGAL/Surface_mesh_parameterization/orbifold_enums.h>

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.

enum CGAL::Surface_mesh_parameterization::Error_code

List of errors detected by this package.

#include <CGAL/Surface_mesh_parameterization/Error_code.h>

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.

enum CGAL::Surface_mesh_parameterization::Orbifold_type

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.

#include <CGAL/Surface_mesh_parameterization/orbifold_enums.h>

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.

enum CGAL::Surface_mesh_parameterization::Weight_type

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

#include <CGAL/Surface_mesh_parameterization/orbifold_enums.h>

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

const char* CGAL::Surface_mesh_parameterization::get_error_message

(

int

error_code)

Get the message corresponding to an error code.

Parameters

error_code

The code returned by parameterize()

Returns

The string describing the error code.

#include <CGAL/Surface_mesh_parameterization/Error_code.h>

Examples:

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

const char* CGAL::Surface_mesh_parameterization::get_orbifold_type

(

int

orb_type)

Convert the orbifold type to a literal message.

Parameters

orb_type

the integer value in the enum

Returns

the string describing the Orbifold type.

#include <CGAL/Surface_mesh_parameterization/orbifold_enums.h>