CGAL 6.0 - 3D Mesh Generation
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CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron > Class Template Reference

#include <CGAL/Polyhedral_mesh_domain_with_features_3.h>

Inherits from

CGAL::Mesh_domain_with_polyline_features_3< MD >.

Definition

template<class IGT, class Polyhedron = typename Mesh_polyhedron_3<IGT_>::type>
class CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron >

The class Polyhedral_mesh_domain_with_features_3 implements a domain whose boundary is a simplicial polyhedral surface.

This surface must be free of intersections. It can either be closed, included inside another polyhedral surface which is closed and free of intersections, or open. In the latter case, the meshing process will only take care of the quality of the 1D (features and boundaries) and 2D (surfaces) components of the mesh.

It is a model of the concept MeshDomainWithFeatures_3. It also provides a member function to automatically detect sharp features and boundaries from the input polyhedral surface(s).

Template Parameters
IGTstands for a geometric traits class providing the types and functors required to implement the intersection tests and intersection computations for polyhedral boundary surfaces. This parameter has to be instantiated with a model of the concept IntersectionGeometricTraits_3.
Polyhedronstands for the type of the input polyhedral surface(s), model of FaceListGraph.
Is model of
MeshDomainWithFeatures_3
See also
CGAL::Mesh_domain_with_polyline_features_3<MD>
CGAL::Polyhedral_mesh_domain_3<Polyhedron,IGT>
CGAL::Mesh_polyhedron_3<IGT>
Examples
Mesh_3/mesh_polyhedral_domain_with_edge_distance.cpp, Mesh_3/mesh_polyhedral_domain_with_features.cpp, Mesh_3/mesh_polyhedral_domain_with_features_sizing.cpp, Mesh_3/mesh_polyhedral_domain_with_features_sm.cpp, Mesh_3/mesh_polyhedral_domain_with_lipschitz_sizing.cpp, Mesh_3/mesh_polyhedral_domain_with_surface_inside.cpp, and Mesh_3/remesh_polyhedral_surface.cpp.

Creation

 Polyhedral_mesh_domain_with_features_3 (const Polyhedron &bounding_polyhedron)
 Constructor from a polyhedral surface.
 
 Polyhedral_mesh_domain_with_features_3 (const std::string &filename)
 
 Polyhedral_mesh_domain_with_features_3 (const Polyhedron &polyhedron, const Polyhedron &bounding_polyhedron)
 Constructor from a polyhedral surface, and a bounding polyhedral surface.
 
template<typename InputPolyhedraPtrIterator >
 Polyhedral_mesh_domain_with_features_3 (InputPolyhedraPtrIterator begin, InputPolyhedraPtrIterator end)
 Constructor from a sequence of polyhedral surfaces, without a bounding surface.
 
template<typename InputPolyhedraPtrIterator >
 Polyhedral_mesh_domain_with_features_3 (InputPolyhedraPtrIterator begin, InputPolyhedraPtrIterator end, const Polyhedron &bounding_polyhedron)
 Constructor from a sequence of polyhedral surfaces, and a bounding polyhedral surface.
 

Operations

void detect_features (FT angle_bound=FT(60))
 detects sharp features and boundaries of the internal bounding polyhedron (and the potential internal polyhedra) and inserts them as features of the domain.
 
void detect_borders ()
 detects border edges of the bounding polyhedron and inserts them as features of the domain.
 

Additional Inherited Members

- Public Types inherited from CGAL::Mesh_domain_with_polyline_features_3< MD >
typedef MD::Surface_patch_index Surface_patch_index
 
typedef MD::Subdomain_index Subdomain_index
 
typedef int Curve_index
 
typedef int Corner_index
 
typedef unspecified_type Index
 
typedef CGAL::Tag_true Has_features
 
typedef MD::R::FT FT
 
- Public Member Functions inherited from CGAL::Mesh_domain_with_polyline_features_3< MD >
template<typename ... T>
 Mesh_domain_with_polyline_features_3 (const T &...o)
 
 Mesh_domain_with_polyline_features_3 (const Mesh_domain_with_polyline_features_3 &)=default
 
template<typename InputIterator >
void add_features (InputIterator first, InputIterator end)
 adds 1-dimensional features in the domain.
 
template<typename InputIterator , typename PolylinePMap , typename IncidentPatchesIndicesPMap >
void add_features_and_incidences (InputIterator first, InputIterator end, PolylinePMap polyline_pmap, IncidentPatchesIndicesPMap incident_patches_indices_pmap)
 adds 1-dimensional features (curves) from the range [first, end) in the domain with their incidences with 2-dimensional features (patches) of the domain.
 
template<typename OutputIterator >
OutputIterator get_corners (OutputIterator out) const
 implements MeshDomainWithFeatures_3::get_corners().
 
template<typename OutputIterator >
OutputIterator get_curves (OutputIterator out) const
 implements MeshDomainWithFeatures_3::get_curves().
 
FT curve_segment_length (const Point_3 &p, const Point_3 q, const Curve_index &curve_index, CGAL::Orientation orientation) const
 implements MeshDomainWithFeatures_3::curve_segment_length().
 
FT curve_length (const Curve_index &curve_index) const
 implements MeshDomainWithFeatures_3::curve_length().
 
Point_3 construct_point_on_curve (const Point_3 &starting_point, const Curve_index &curve_index, FT distance) const
 implements MeshDomainWithFeatures_3::construct_point_on_curve().
 
CGAL::Sign distance_sign_along_loop (const Point_3 &p, const Point_3 &q, const Point_3 &r, const Curve_index &index) const
 implements MeshDomainWithFeatures_3::distance_sign_along_loop().
 
CGAL::Sign distance_sign (const Point_3 &p, const Point_3 &q, const Curve_index &index) const
 implements MeshDomainWithFeatures_3::distance_sign().
 
bool is_loop (const Curve_index &index) const
 implements MeshDomainWithFeatures_3::is_loop().
 
bool is_curve_segment_covered (const Curve_index &index, CGAL::Orientation orientation, const Point_3 &c1, const Point_3 &c2, const FT sq_r1, const FT sq_r2) const
 implements MeshDomainWithFeatures_3::is_curve_segment_covered().
 
Index index_from_surface_patch_index (const Surface_patch_index &index) const
 Returns the index to be stored in a vertex lying on the surface identified by index.
 
Index index_from_subdomain_index (const Subdomain_index &index) const
 Returns the index to be stored in a vertex lying in the subdomain identified by index.
 
Index index_from_curve_index (const Curve_index &index) const
 returns an Index from a Curve_index
 
Index index_from_corner_index (const Corner_index &index) const
 returns an Index from a Corner_index
 
Surface_patch_index surface_patch_index (const Index &index) const
 Returns the Surface_patch_index of the surface patch where lies a vertex with dimension 2 and index index.
 
Subdomain_index subdomain_index (const Index &index) const
 Returns the index of the subdomain containing a vertex with dimension 3 and index index.
 
Curve_index curve_index (const Index &index) const
 returns a Curve_index from an Index
 
Corner_index corner_index (const Index &index) const
 returns a Corner_index from an Index
 

Constructor & Destructor Documentation

◆ Polyhedral_mesh_domain_with_features_3() [1/5]

template<class IGT , class Polyhedron = typename Mesh_polyhedron_3<IGT_>::type>
CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron >::Polyhedral_mesh_domain_with_features_3 ( const Polyhedron &  bounding_polyhedron)

Constructor from a polyhedral surface.

No feature detection is done at this level. Note that a copy of bounding_polyhedron will be done. The polyhedron bounding_polyhedron has to be closed and free of intersections. The interior of bounding_polyhedron will be meshed.

◆ Polyhedral_mesh_domain_with_features_3() [2/5]

template<class IGT , class Polyhedron = typename Mesh_polyhedron_3<IGT_>::type>
CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron >::Polyhedral_mesh_domain_with_features_3 ( const std::string &  filename)
Deprecated:
Constructor from an OFF file. No feature detection is done at this level. Users must read the file into a Polyhedron and call the constructor above.

◆ Polyhedral_mesh_domain_with_features_3() [3/5]

template<class IGT , class Polyhedron = typename Mesh_polyhedron_3<IGT_>::type>
CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron >::Polyhedral_mesh_domain_with_features_3 ( const Polyhedron &  polyhedron,
const Polyhedron &  bounding_polyhedron 
)

Constructor from a polyhedral surface, and a bounding polyhedral surface.

The first polyhedron should be entirely included inside bounding_polyhedron, which has to be closed and free of intersections. Using this constructor enables to mesh a polyhedral surface which is not closed, or has holes. The inside of bounding_polyhedron will be meshed.

◆ Polyhedral_mesh_domain_with_features_3() [4/5]

template<class IGT , class Polyhedron = typename Mesh_polyhedron_3<IGT_>::type>
template<typename InputPolyhedraPtrIterator >
CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron >::Polyhedral_mesh_domain_with_features_3 ( InputPolyhedraPtrIterator  begin,
InputPolyhedraPtrIterator  end 
)

Constructor from a sequence of polyhedral surfaces, without a bounding surface.

The domain will always answer false to is_in_domain() queries.

Template Parameters
InputPolyhedraPtrIteratormust be a model of ForwardIterator with value type Polyhedron*
Parameters
beginiterator for a sequence of pointers to polyhedra
enditerator for a sequence of pointers to polyhedra

◆ Polyhedral_mesh_domain_with_features_3() [5/5]

template<class IGT , class Polyhedron = typename Mesh_polyhedron_3<IGT_>::type>
template<typename InputPolyhedraPtrIterator >
CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron >::Polyhedral_mesh_domain_with_features_3 ( InputPolyhedraPtrIterator  begin,
InputPolyhedraPtrIterator  end,
const Polyhedron &  bounding_polyhedron 
)

Constructor from a sequence of polyhedral surfaces, and a bounding polyhedral surface.

Template Parameters
InputPolyhedraPtrIteratormust be a model of ForwardIterator with value type Polyhedron*
Parameters
beginiterator for a sequence of pointers to polyhedra
enditerator for a sequence of pointers to polyhedra
bounding_polyhedronthe bounding surface

Member Function Documentation

◆ detect_borders()

template<class IGT , class Polyhedron = typename Mesh_polyhedron_3<IGT_>::type>
void CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron >::detect_borders ( )

detects border edges of the bounding polyhedron and inserts them as features of the domain.

This function should only be called alone, and not before or after detect_features().

◆ detect_features()

template<class IGT , class Polyhedron = typename Mesh_polyhedron_3<IGT_>::type>
void CGAL::Polyhedral_mesh_domain_with_features_3< IGT, Polyhedron >::detect_features ( FT  angle_bound = FT(60))

detects sharp features and boundaries of the internal bounding polyhedron (and the potential internal polyhedra) and inserts them as features of the domain.

Parameters
angle_boundgives the maximum angle (in degrees) between the two normal vectors of adjacent triangles. For an edge of a polyhedron, if the angle between the two normal vectors of its incident facets is bigger than the given bound, then the edge is considered as a feature edge.