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CGAL 4.7 - Planar Parameterization of Triangulated Surface Meshes
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ParameterizerTraits_3 Concept Reference
Planar Parameterization of Triangulated Surface Meshes Reference » Concepts

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 [3] : they implement a strategy of surface parameterization for models of ParameterizationMesh_3.

Creation

Construction and destruction are undefined.

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

Types

typedef unspecified_type 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. More...
 

Operations

Error_code parameterize (Adaptor &mesh)
 Compute a one-to-one mapping from a triangular 3D surface mesh to a piece of the 2D space. More...
 

Member Function Documentation

Error_code ParameterizerTraits_3::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.

Precondition
mesh must be a surface with one connected component and no hole. mesh must be a triangular mesh.