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CGAL 4.5.1 - Planar Parameterization of Triangulated Surface Meshes
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Classes
Mesh
Planar Parameterization of Triangulated Surface Meshes Reference

The general definition of input meshes handled directly by CGAL::parameterize() is:

This package provides a model of the ParameterizationMesh_3 concept to access CGAL::Polyhedron_3<Traits>:

CGAL::Parameterization_polyhedron_adaptor_3<Polyhedron_3_>

The meshes supported indirectly by the package can be of any genus and have any number of connected components. If it is not a topological disc, the input mesh has to come with a description of a cutting path (an oriented list of vertices) which is the border of a topological disc. If no cutting path is given as input, we assume that the surface border is the longest border already in the input mesh (the other borders will be considered as holes).

The CGAL::Parameterization_mesh_patch_3<ParameterizationPatchableMesh_3> class is responsible for virtually cutting a patch in a ParameterizationPatchableMesh_3 mesh. The resulting patch is a topological disk (if the input cutting path is correct) and provides a ParameterizationMesh_3 interface. It can be used as parameter of CGAL::parameterize().

Note that this way the user is responsible for cutting a closed mesh of arbitrary genus (even a topological disc with an intricate seam cut), as long as this condition is fulfilled.

The package provides an interface with CGAL::Polyhedron_3<Traits>:

CGAL::Parameterization_polyhedron_adaptor_3<Polyhedron_3_>

Classes

class  CGAL::Parameterization_mesh_patch_3< ParameterizationPatchableMesh_3 >
 Parameterization_mesh_patch_3 is a Decorator class to virtually cut a patch in a ParameterizationPatchableMesh_3 3D surface. More...
 
class  CGAL::Parameterization_polyhedron_adaptor_3< Polyhedron_3_ >
 Parameterization_polyhedron_adaptor_3 is an adaptor class to access to a Polyhedron 3D mesh using the ParameterizationPatchableMesh_3 interface. More...