ParameterizerTraits

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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_TOPOLOGICAL_DISC,
ERROR_BORDER_TOO_SHORT,
ERROR_NON_CONVEX_BORDER,
ERROR_CANNOT_SOLVE_LINEAR_SYSTEM,
ERROR_NO_1_TO_1_MAPPING,
ERROR_OUT_OF_MEMORY,
ERROR_WRONG_PARAMETER};

List of errors detected by this package.

Enumeration values:

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_OUT_OF_MEMORY: Not enough memory.
ERROR_WRONG_PARAMETER: 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>