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_NO_TOPOLOGICAL_BALL, 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)
	gets 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_NO_TOPOLOGICAL_BALL	Input mesh is not a topological ball.
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/ARAP_parameterization.cpp, Surface_mesh_parameterization/discrete_authalic.cpp, Surface_mesh_parameterization/iterative_authalic_parameterizer.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>

gets the message corresponding to an error code.

Parameters

error_code

The code returned by parameterize()

Returns

The string describing the error code.

Examples:

Surface_mesh_parameterization/ARAP_parameterization.cpp, Surface_mesh_parameterization/discrete_authalic.cpp, Surface_mesh_parameterization/iterative_authalic_parameterizer.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_type

the integer value in the enum

Returns

the string describing the Orbifold type.