ParameterizerTraits_3

Definition

ParameterizerTraits_3 is a concept of parameterization object for a given type of mesh, 'Adaptor', which is a model of the ParameterizationMesh_3 concept.

Design Pattern

ParameterizerTraits_3 models are Strategies [GHJV95]: they implement a strategy of surface parameterization for models of ParameterizationMesh_3.

Types

ParameterizerTraits_3::Adaptor
	Export the type of mesh to parameterize.

Constants

enum Error_code { OK, ERROR_EMPTY_MESH, ERROR_NON_TRIANGULAR_MESH, ERROR_NO_SURFACE_MESH, ERROR_INVALID_BORDER, ERROR_CANNOT_SOLVE_LINEAR_SYSTEM, ERROR_NO_1_TO_1_MAPPING, ERROR_NOT_ENOUGH_MEMORY, ERROR_WRONG_PARAMETER};
	List of errors detected by this package.

Enumeration values:

OK

Success.

ERROR_EMPTY_MESH

Error: input mesh is empty.

ERROR_NON_TRIANGULAR_MESH

Error: input mesh is not triangular.

ERROR_NO_SURFACE_MESH

Error: input mesh is not a surface.

ERROR_INVALID_BORDER

Error: parameterization requires a convex border.

ERROR_CANNOT_SOLVE_LINEAR_SYSTEM

Error: cannot solve linear system.

ERROR_NO_1_TO_1_MAPPING

Error: parameterization does not ensure a one-to-one mapping.

ERROR_NOT_ENOUGH_MEMORY

Error: not enough memory.

ERROR_WRONG_PARAMETER

Error: a method received an unexpected parameter.

Creation

Construction and destruction are undefined.

Operations

Error_code	param.parameterize ( Adaptor& mesh)
		Compute a one-to-one mapping from a triangular 3D surface 'mesh' to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u,v) pair image of each vertex of the 3D surface. Preconditions: 'mesh' must be a surface with one connected component and no hole. 'mesh' must be a triangular mesh.

Has Models

CGAL::Parameterizer_traits_3<ParameterizationMesh_3>
CGAL::Fixed_border_parameterizer_3<ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d>
CGAL::Barycentric_mapping_parameterizer_3<ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d>
CGAL::Discrete_authalic_parameterizer_3<ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d>
CGAL::Discrete_conformal_map_parameterizer_3<ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d>
CGAL::LSCM_parameterizer_3<ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d>
CGAL::Mean_value_coordinates_parameterizer_3<ParameterizationMesh_3, BorderParameterizer_3, SparseLinearAlgebraTraits_d>

See Also

ParameterizationMesh_3