CGAL 4.11 - 3D Convex Hulls
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CGAL Namespace Reference

Namespaces

 cpp11
 
 IO
 
 Properties
 
 Scale_space_reconstruction_3
 
 Shape_detection_3
 
 Surface_mesh_parameterization
 

Classes

class  Aff_transformation_2
 
class  Aff_transformation_3
 
class  Identity_transformation
 
class  Reflection
 
class  Rotation
 
class  Scaling
 
class  Translation
 
class  Bbox_2
 
class  Bbox_3
 
class  Cartesian
 
class  Cartesian_converter
 
class  Circle_2
 
class  Circle_3
 
class  Ambient_dimension
 
class  Dimension_tag
 
class  Dynamic_dimension_tag
 
class  Feature_dimension
 
class  Direction_2
 
class  Direction_3
 
class  Exact_predicates_exact_constructions_kernel
 
class  Exact_predicates_exact_constructions_kernel_with_kth_root
 
class  Exact_predicates_exact_constructions_kernel_with_root_of
 
class  Exact_predicates_exact_constructions_kernel_with_sqrt
 
class  Exact_predicates_inexact_constructions_kernel
 
class  Filtered_kernel_adaptor
 
class  Filtered_kernel
 
class  Filtered_predicate
 
class  Homogeneous
 
class  Homogeneous_converter
 
class  Iso_cuboid_3
 
class  Iso_rectangle_2
 
class  Kernel_traits
 
class  Line_2
 
class  Line_3
 
class  Null_vector
 
class  Origin
 
class  Plane_3
 
class  Point_2
 
class  Point_3
 
class  Projection_traits_xy_3
 
class  Projection_traits_xz_3
 
class  Projection_traits_yz_3
 
class  Ray_2
 
class  Ray_3
 
class  Segment_2
 
class  Segment_3
 
class  Simple_cartesian
 
class  Simple_homogeneous
 
class  Sphere_3
 
class  Tetrahedron_3
 
class  Triangle_2
 
class  Triangle_3
 
class  Vector_2
 
class  Vector_3
 
class  Weighted_point_2
 
class  Weighted_point_3
 
struct  Construct_array
 
class  CC_safe_handle
 
class  Compact_container_base
 
class  Compact_container
 
class  Compact_container_traits
 
class  Compact
 
class  Fast
 
class  Concurrent_compact_container_traits
 
class  Concurrent_compact_container
 
class  Default
 
class  Fourtuple
 
class  Cast_function_object
 
class  Compare_to_less
 
class  Creator_1
 
class  Creator_2
 
class  Creator_3
 
class  Creator_4
 
class  Creator_5
 
class  Creator_uniform_2
 
class  Creator_uniform_3
 
class  Creator_uniform_4
 
class  Creator_uniform_5
 
class  Creator_uniform_6
 
class  Creator_uniform_7
 
class  Creator_uniform_8
 
class  Creator_uniform_9
 
class  Creator_uniform_d
 
class  Dereference
 
class  Get_address
 
class  Identity
 
class  Project_facet
 
class  Project_next
 
class  Project_next_opposite
 
class  Project_normal
 
class  Project_opposite_prev
 
class  Project_plane
 
class  Project_point
 
class  Project_prev
 
class  Project_vertex
 
class  In_place_list_base
 
class  In_place_list
 
class  Const_oneset_iterator
 
class  Counting_iterator
 
class  Dispatch_or_drop_output_iterator
 
class  Dispatch_output_iterator
 
class  Emptyset_iterator
 
class  Filter_iterator
 
class  Insert_iterator
 
class  Inverse_index
 
class  Join_input_iterator_1
 
class  Join_input_iterator_2
 
class  Join_input_iterator_3
 
class  N_step_adaptor
 
class  Oneset_iterator
 
class  Random_access_adaptor
 
class  Random_access_value_adaptor
 
class  Iterator_range
 
class  Location_policy
 
class  Multiset
 
class  Object
 
class  Sixtuple
 
class  Spatial_lock_grid_3
 
class  Boolean_tag
 
struct  Null_functor
 
struct  Sequential_tag
 
struct  Parallel_tag
 
class  Null_tag
 
class  Threetuple
 
class  Twotuple
 
class  Uncertain
 
class  Quadruple
 
class  Triple
 
struct  value_type_traits
 
struct  value_type_traits< std::back_insert_iterator< Container > >
 
struct  value_type_traits< std::insert_iterator< Container > >
 
struct  value_type_traits< std::front_insert_iterator< Container > >
 
class  Algebraic_structure_traits
 
class  Euclidean_ring_tag
 
class  Field_tag
 
class  Field_with_kth_root_tag
 
class  Field_with_root_of_tag
 
class  Field_with_sqrt_tag
 
class  Integral_domain_tag
 
class  Integral_domain_without_division_tag
 
class  Unique_factorization_domain_tag
 
class  Coercion_traits
 
class  Fraction_traits
 
class  Real_embeddable_traits
 
class  Circulator_from_container
 
class  Circulator_from_iterator
 
class  Circulator_traits
 
class  Container_from_circulator
 
struct  Circulator_tag
 
struct  Iterator_tag
 
struct  Forward_circulator_tag
 
struct  Bidirectional_circulator_tag
 
struct  Random_access_circulator_tag
 
struct  Circulator_base
 
struct  Forward_circulator_base
 
struct  Bidirectional_circulator_base
 
struct  Random_access_circulator_base
 
class  Forward_circulator_ptrbase
 
class  Bidirectional_circulator_ptrbase
 
class  Random_access_circulator_ptrbase
 
class  Color
 
class  Input_rep
 
class  Output_rep
 
class  Istream_iterator
 
class  Ostream_iterator
 
class  Verbose_ostream
 
class  Convex_hull_constructive_traits_2
 
class  Convex_hull_traits_2
 
class  Convex_hull_d
 
class  Convex_hull_d_traits_3
 
class  Delaunay_d
 
class  Delaunay_triangulation_3
 
class  Delaunay_triangulation_cell_base_3
 
class  Delaunay_triangulation_cell_base_with_circumcenter_3
 
class  Regular_triangulation_3
 
class  Regular_triangulation_cell_base_3
 
class  Regular_triangulation_cell_base_with_weighted_circumcenter_3
 
class  Regular_triangulation_euclidean_traits_3
 
class  Regular_triangulation_vertex_base_3
 
class  Robust_weighted_circumcenter_filtered_traits_3
 
class  Triangulation_3
 
class  Triangulation_cell_base_3
 
class  Triangulation_cell_base_with_circumcenter_3
 
class  Triangulation_cell_base_with_info_3
 
class  Triangulation_simplex_3
 
class  Triangulation_vertex_base_3
 
class  Triangulation_vertex_base_with_info_3
 
class  Polyhedron_3
 
class  Polyhedron_incremental_builder_3
 
class  Polyhedron_items_3
 
class  Polyhedron_min_items_3
 
class  Polyhedron_traits_3
 
class  Polyhedron_traits_with_normals_3
 
class  SM_edge_weight_pmap
 
class  SM_index_pmap
 
class  Surface_mesh
 
class  HalfedgeDS_face_max_base_with_id
 
class  HalfedgeDS_halfedge_max_base_with_id
 
class  HalfedgeDS_vertex_max_base_with_id
 
class  Linear_cell_complex_bgl_min_items
 
class  Linear_cell_complex_for_bgl_combinatorial_map_helper
 
class  Polyhedron_items_with_id_3
 
class  Triangulation_vertex_base_with_id_2
 
class  Halfedge_around_source_iterator
 
class  Halfedge_around_target_iterator
 
class  Halfedge_around_face_iterator
 
class  Halfedge_around_target_circulator
 
class  Halfedge_around_source_circulator
 
class  Face_around_target_circulator
 
class  Halfedge_around_face_circulator
 
class  Face_around_face_iterator
 
class  Face_around_face_circulator
 
class  Face_around_target_iterator
 
class  Vertex_around_face_iterator
 
class  Vertex_around_target_circulator
 
class  Vertex_around_target_iterator
 
struct  Graph_with_descriptor_with_graph
 
struct  Graph_with_descriptor_with_graph_property_map
 
struct  Face_filtered_graph
 
class  Dual
 
class  Seam_mesh
 
class  Convex_hull_traits_3
 The class Convex_hull_traits_3 serves as a traits class for the function convex_hull_3(). More...
 

Functions

template<class PlaneIterator , class PolygonMesh >
void halfspace_intersection_3 (PlaneIterator begin, PlaneIterator end, PolygonMesh &pm, boost::optional< Kernel_traits< std::iterator_traits< PlaneIterator >::value_type >::Kernel::Point_3 > > origin=boost::none)
 computes robustly the intersection of the halfspaces defined by the planes contained in the range [begin, end) without constructing the dual points. More...
 
template<class PlaneIterator , class PolygonMesh , class Traits >
void halfspace_intersection_with_constructions_3 (PlaneIterator pbegin, PlaneIterator pend, PolygonMesh &pm, boost::optional< Kernel_traits< std::iterator_traits< PlaneIterator >::value_type >::Kernel::Point_3 > > origin=boost::none, const Traits &ch_traits=Default_traits)
 computes the intersection of the halfspaces defined by the planes contained in the range [begin, end). More...
 
template<class InputIterator , class PolygonMesh , class Traits >
void convex_hull_3 (InputIterator first, InputIterator last, PolygonMesh &pm, const Traits &ch_traits=Default_traits)
 computes the convex hull of the set of points in the range [first, last). More...
 
template<class InputIterator , class Traits >
void convex_hull_3 (InputIterator first, InputIterator last, Object &ch_object, const Traits &ch_traits=Default_traits)
 computes the convex hull of the set of points in the range [first, last). More...
 
template<class Triangulation , class PolygonMesh >
void convex_hull_3_to_face_graph (const Triangulation &T, PolygonMesh &pm)
 fills a polyhedron with the convex hull of a set of 3D points contained in a 3D triangulation of CGAL. More...
 
template<class Triangulation , class Polyhedron >
void convex_hull_3_to_polyhedron_3 (const Triangulation &T, Polyhedron &P)
 fills a polyhedron with the convex hull of a set of 3D points contained in a 3D triangulation of CGAL. More...
 
template<class PolygonMesh , class Traits >
bool is_strongly_convex_3 (PolygonMesh &pm, const Traits &traits=Default_traits)
 determines if the vertices of a given polyhedron represents a strongly convex set of points or not. More...