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Parameterization_mesh_patch_3 is a Decorator class to virtually cut a patch in a ParameterizationPatchableMesh_3 3D surface. Only the patch is exported, making the 3D surface look like a topological disk.
The input mesh can be of any genus, but it has to come with a seam that describes the border of a topological disc. This border may be an actual border of the mesh or a virtual border.
#include <CGAL/Parameterization_mesh_patch_3.h>
Model of ParameterizationMesh_3 concept, whose purpose is to allow the Surface_mesh_parameterization package to access meshes in a uniform manner.
Parameterization_mesh_patch_3 is a Decorator [GHJV95]: it changes the behavior of a ParameterizationPatchableMesh_3 3D surface while keeping its ParameterizationMesh_3 interface.
The full template declaration is:
template<class ParameterizationPatchableMesh_3>
class Parameterization_mesh_patch_3;
Parameters
The following mutable handles, iterators, and circulators have appropriate non-mutable counterparts, i.e. const_handle, const_iterator, and const_circulator. The mutable types are assignable to their non-mutable counterparts. Both circulators are assignable to the Vertex_iterator. The iterators are assignable to the respective handle types. Wherever the handles appear in function parameter lists, the corresponding iterators can be used as well.
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Export template parameter.
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| The decorated mesh. |
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Create a Decorator for an existing ParameterizationPatchableMesh_3 mesh. The input mesh can be of any genus, but it has to come with a seam that describes the border of a topological disc. This border may be an actual border of the mesh or a virtual border.
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The following methods returning a mutable handle, iterator, or circulator have appropriate non-mutable counterpart methods, i.e. const, returning a const_handle, const_iterator, or const_circulator.
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| Indicate if the mesh matches the ParameterizationMesh_3 concept. | ||||
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| Get iterator over first vertex of mesh. | ||||
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| Get iterator over past-the-end vertex of mesh. | ||||
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| Count the number of vertices of the mesh. | ||||
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| Index vertices of the mesh from 0 to count_mesh_vertices()-1. | ||||
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| Get iterator over first vertex of mesh's main border (aka seam). | ||||||
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| Get iterator over past-the-end vertex of mesh's main border (aka seam). | ||||||
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| Get iterator over first facet of mesh. | ||||
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| Get iterator over past-the-end facet of mesh. | ||||
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| Count the number of facets of the mesh. | ||||
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| Return true of all mesh's facets are triangles. | ||||
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| Count the number of halfedges of the mesh. | ||||
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| Get circulator over facet's vertices. | ||||||
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| Count the number of vertices of a facet. | ||||||
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| Get the 3D position of a vertex. | ||||||
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| Get/set the 2D position (u/v pair) of a vertex. Default value is undefined. | ||||||
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| Get/set is parameterized field of vertex. Default value is undefined. | ||||||
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| Get/set vertex index. Default value is undefined. | ||||||
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| Get/set vertex' all purpose tag. Default value is undefined. | ||||||
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| Return true if a vertex belongs to ANY mesh's border. | ||||||
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| Return true if a vertex belongs to the UNIQUE mesh's main border set by the constructor. | ||||||
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| Get circulator over the vertices incident to vertex. start_position defines the optional initial position of the circulator. | ||||||
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CGAL::Parameterization_polyhedron_adaptor_3<Polyhedron_3_>
See Mesh_cutting_parameterization.cpp example.