CGAL Namespace Reference

Namespaces
	cpp11
	IO
	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	Poisson_reconstruction_function
struct	Input_iterator_property_map
struct	Dereference_property_map
struct	Identity_property_map
struct	First_of_pair_property_map
struct	Second_of_pair_property_map
struct	Nth_of_tuple_property_map
struct	Nth_of_tuple_property_map< N, std::tuple< T...> >
struct	Property_map_to_unary_function
struct	Pointer_property_map
class	Approximate_min_ellipsoid_d
class	Approximate_min_ellipsoid_d_traits_2
class	Approximate_min_ellipsoid_d_traits_3
class	Approximate_min_ellipsoid_d_traits_d
class	Min_annulus_d
class	Min_circle_2
class	Min_circle_2_traits_2
class	Min_ellipse_2
class	Min_ellipse_2_traits_2
class	Min_quadrilateral_default_traits_2
class	Min_sphere_annulus_d_traits_2
class	Min_sphere_annulus_d_traits_3
class	Min_sphere_annulus_d_traits_d
class	Min_sphere_d
class	Min_sphere_of_points_d_traits_2
class	Min_sphere_of_points_d_traits_3
class	Min_sphere_of_points_d_traits_d
class	Min_sphere_of_spheres_d
class	Min_sphere_of_spheres_d_traits_2
class	Min_sphere_of_spheres_d_traits_3
class	Min_sphere_of_spheres_d_traits_d
class	Rectangular_p_center_default_traits_2
class	Monge_via_jet_fitting
class	Diagonalize_traits
class	Eigen_diagonalize_traits
class	Eigen_sparse_matrix
class	Eigen_sparse_symmetric_matrix
class	Eigen_matrix
class	Eigen_solver_traits
class	Eigen_svd
class	Eigen_vector
class	Advancing_front_surface_reconstruction
class	Advancing_front_surface_reconstruction_cell_base_3
class	Advancing_front_surface_reconstruction_vertex_base_3
class	Point_set_with_structure
	A 3D point set with structure information based on a set of detected planes. More...
struct	PLY_property
	Class used to identify a PLY property as a type and a name. More...

Functions
template<class FT , class VCMTraits >
bool	vcm_is_on_feature_edge (cpp11::array< FT, 6 > &cov, double threshold, VCMTraits)
	determines if a point is on a sharp feature edge from a point set for which the Voronoi covariance Measures have been computed. More...
template<class FT >
bool	vcm_is_on_feature_edge (cpp11::array< FT, 6 > &cov, double threshold)
template<class ForwardIterator , class PointPMap , class Kernel >
void	compute_vcm (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, std::vector< cpp11::array< typename Kernel::FT, 6 > > &ccov, double offset_radius, double convolution_radius, const Kernel &kernel)
	computes the Voronoi Covariance Measure (VCM) of a point cloud, a construction that can be used for normal estimation and sharp feature detection. More...
template<typename ForwardIterator , typename PointPMap , typename NormalPMap , typename VCMTraits >
void	vcm_estimate_normals (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, double offset_radius, double convolution_radius, VCMTraits)
	Estimates normal directions of the points in the range [first, beyond) using the Voronoi Covariance Measure with a radius for the convolution. More...
template<typename ForwardIterator , typename PointPMap , typename NormalPMap , typename VCMTraits >
void	vcm_estimate_normals (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, double offset_radius, unsigned int k, VCMTraits)
	Estimates normal directions of the points in the range [first, beyond) using the Voronoi Covariance Measure with a number of neighbors for the convolution. More...
template<typename ForwardIterator , typename PointPMap , typename NormalPMap >
void	vcm_estimate_normals (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, double offset_radius, double convolution_radius)
template<typename ForwardIterator , typename PointPMap , typename NormalPMap >
void	vcm_estimate_normals (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, double offset_radius, unsigned int nb_neighbors_convolve)
template<typename Traits , typename OutputIterator >
OutputIterator	structure_point_set (typename Traits::Input_range::iterator first, typename Traits::Input_range::iterator beyond, typename Traits::Point_map point_map, typename Traits::Normal_map normal_map, OutputIterator output, Shape_detection_3::Efficient_RANSAC< Traits > &shape_detection, double epsilon, double attraction_factor=3.)
	This is an implementation of the Point Set Structuring algorithm. More...
template<typename ForwardIterator , typename PointPMap , typename NormalPMap , typename Kernel >
ForwardIterator	mst_orient_normals (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, unsigned int k, const Kernel &kernel)
	Orients the normals of the [first, beyond) range of points using the propagation of a seed orientation through a minimum spanning tree of the Riemannian graph [Hoppe92]. More...
template<typename Concurrency_tag , typename OutputIterator , typename RandomAccessIterator , typename PointPMap , typename Kernel >
OutputIterator	wlop_simplify_and_regularize_point_set (RandomAccessIterator first, RandomAccessIterator beyond, OutputIterator output, PointPMap point_pmap, double select_percentage, double radius, unsigned int iter_number, bool require_uniform_sampling, const Kernel &)
	This is an implementation of the Weighted Locally Optimal Projection (WLOP) simplification algorithm. More...
template<typename Concurrency_tag , typename ForwardIterator , typename PointPMap , typename NormalPMap , typename Kernel >
double	bilateral_smooth_point_set (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, unsigned int k, typename Kernel::FT sharpness_angle, const Kernel &)
	This function smooths an input point set by iteratively projecting each point onto the implicit surface patch fitted over its k nearest neighbors. More...
template<typename Concurrency_tag , typename OutputIterator , typename ForwardIterator , typename PointPMap , typename NormalPMap , typename Kernel >
OutputIterator	edge_aware_upsample_point_set (ForwardIterator first, ForwardIterator beyond, OutputIterator output, PointPMap point_pmap, NormalPMap normal_pmap, const typename Kernel::FT sharpness_angle, typename Kernel::FT edge_sensitivity, typename Kernel::FT neighbor_radius, const std::size_t number_of_output_points, const Kernel &)
	This method progressively upsamples the point set while approaching the edge singularities (detected by normal variation), which generates a denser point set from an input point set. More...
template<typename ForwardIterator , typename PointPMap , typename DiagonalizeTraits , typename Kernel >
ForwardIterator	hierarchy_simplify_point_set (ForwardIterator begin, ForwardIterator end, PointPMap point_pmap, const unsigned int size, const double var_max, const DiagonalizeTraits &, const Kernel &)
	Recursively split the point set in smaller clusters until the clusters have less than size elements or until their variation factor is below var_max. More...
template<typename ForwardIterator , typename PointPMap , typename Kernel >
ForwardIterator	random_simplify_point_set (ForwardIterator first, ForwardIterator beyond, PointPMap, double removed_percentage, const Kernel &)
	Randomly deletes a user-specified fraction of the input points. More...
template<typename Concurrency_tag , typename InputIterator , typename PointPMap , typename Kernel , typename SvdTraits >
void	jet_smooth_point_set (InputIterator first, InputIterator beyond, PointPMap point_pmap, unsigned int k, const Kernel &, unsigned int degree_fitting=2, unsigned int degree_monge=2)
	Smoothes the [first, beyond) range of points using jet fitting on the k nearest neighbors and reprojection onto the jet. More...
template<typename Concurrency_tag , typename InputIterator , typename PointPMap , typename Kernel >
Kernel::FT	compute_average_spacing (InputIterator first, InputIterator beyond, PointPMap point_pmap, unsigned int k, const Kernel &)
	Computes average spacing from k nearest neighbors. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename PointPMap , typename NormalPMap , typename Kernel >
bool	read_off_points_and_normals (std::istream &stream, OutputIterator output, PointPMap point_pmap, NormalPMap normal_pmap, const Kernel &)
	Reads points (positions + normals, if available) from a .off ASCII stream. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename PointPMap , typename Kernel >
bool	read_off_points (std::istream &stream, OutputIterator output, PointPMap point_pmap, const Kernel &kernel)
	Reads points (position only) from a .off ASCII stream. More...
template<typename PointMap >
std::tuple< PointMap, typename Kernel_traits< typename PointMap::value_type > ::Kernel::Construct_point_3, PLY_property< double > , PLY_property< double > , PLY_property< double > >	make_ply_point_reader (PointMap point_map)
	Generates a PLY property handler to read 3D points. More...
template<typename VectorMap >
std::tuple< VectorMap, typename Kernel_traits < typename VectorMap::value_type > ::Kernel::Construct_vector_3, PLY_property< double > , PLY_property< double > , PLY_property< double > >	make_ply_normal_reader (VectorMap normal_map)
	Generates a PLY property handler to read 3D normal vectors. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename... PropertyHandler>
bool	read_ply_points_with_properties (std::istream &stream, OutputIterator output, PropertyHandler &&...properties)
	Reads user-selected points properties from a .ply stream (ASCII or binary). More...
template<typename OutputIteratorValueType , typename OutputIterator , typename PointPMap , typename NormalPMap >
bool	read_ply_points_and_normals (std::istream &stream, OutputIterator output, PointPMap point_pmap, NormalPMap normal_pmap)
	Reads points (positions + normals, if available) from a .ply stream (ASCII or binary). More...
template<typename OutputIteratorValueType , typename OutputIterator , typename PointPMap >
bool	read_ply_points (std::istream &stream, OutputIterator output, PointPMap point_pmap)
	Reads points (position only) from a .ply stream (ASCII or binary). More...
template<typename PointMap >
std::tuple< PointMap, typename Kernel_traits< typename PointMap::value_type > ::Kernel::Construct_point_3, LAS_property::X, LAS_property::Y, LAS_property::Z >	make_las_point_reader (PointMap point_map)
	Generates a LAS property handler to read 3D points. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename... PropertyHandler>
bool	read_las_points_with_properties (std::istream &stream, OutputIterator output, PropertyHandler &&...properties)
	Reads user-selected points properties from a .las or .laz stream. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename PointPMap >
bool	read_las_points (std::istream &stream, OutputIterator output, PointPMap point_pmap)
	Reads points (position only) from a .las or .laz stream. More...
template<typename ForwardIterator , typename PointPMap , typename NormalPMap , typename Kernel >
bool	write_xyz_points_and_normals (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, const Kernel &)
	Saves the [first, beyond) range of points (positions + normals) to a .xyz ASCII stream. More...
template<typename ForwardIterator , typename PointPMap , typename Kernel >
bool	write_xyz_points (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, const Kernel &)
	Saves the [first, beyond) range of points (positions only) to a .xyz ASCII stream. More...
template<typename ForwardIterator , typename PointPMap , typename NormalPMap , typename Kernel >
bool	write_off_points_and_normals (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, const Kernel &)
	Saves the [first, beyond) range of points (positions + normals) to a .off ASCII stream. More...
template<typename ForwardIterator , typename PointPMap , typename Kernel >
bool	write_off_points (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, const Kernel &)
	Saves the [first, beyond) range of points (positions only) to a .off ASCII stream. More...
template<typename PointMap >
std::tuple< PointMap, PLY_property< double > , PLY_property< double > , PLY_property< double > >	make_ply_point_writer (PointMap point_map)
	Generates a PLY property handler to write 3D points. More...
template<typename VectorMap >
std::tuple< VectorMap, PLY_property< double > , PLY_property< double > , PLY_property< double > >	make_ply_normal_writer (VectorMap normal_map)
	Generates a PLY property handler to write 3D normal vectors. More...
template<typename ForwardIterator , typename... PropertyHandler>
bool	write_ply_points_with_properties (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, PropertyHandler &&...properties)
	Saves the [first, beyond) range of points with properties to a .ply stream. More...
template<typename ForwardIterator , typename PointMap , typename VectorMap >
bool	write_ply_points_and_normals (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, PointMap point_map, VectorMap normal_map)
	Saves the [first, beyond) range of points (positions + normals) to a .ply stream. More...
template<typename ForwardIterator , typename PointMap >
bool	write_ply_points (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, PointMap point_map)
	Saves the [first, beyond) range of points (positions only) to a .ply stream. More...
template<typename PointMap >
std::tuple< PointMap, LAS_property::X, LAS_property::Y, LAS_property::Z >	make_las_point_writer (PointMap point_map)
	Generates a LAS property handler to write 3D points. More...
template<typename ForwardIterator , typename PointMap , typename... PropertyHandler>
bool	write_las_points_with_properties (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, std::tuple< PointMap, LAS_property::X, LAS_property::Y, LAS_property::Z > point_property, PropertyHandler &&...properties)
	Saves the [first, beyond) range of points with properties to a .las stream. More...
template<typename ForwardIterator , typename PointMap >
bool	write_las_points (std::ostream &stream, ForwardIterator first, ForwardIterator beyond, PointMap point_map)
	Saves the [first, beyond) range of points (positions only) to a .las stream. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename PointPMap , typename NormalPMap , typename Kernel >
bool	read_xyz_points_and_normals (std::istream &stream, OutputIterator output, PointPMap point_pmap, NormalPMap normal_pmap, const Kernel &)
	Reads points (positions + normals, if available) from a .xyz ASCII stream. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename PointPMap , typename Kernel >
bool	read_xyz_points (std::istream &stream, OutputIterator output, PointPMap point_pmap, const Kernel &kernel)
	Reads points (positions only) from a .xyz ASCII stream. More...
template<typename Concurrency_tag , typename ForwardIterator , typename PointPMap , typename NormalPMap , typename Kernel , typename SvdTraits >
void	jet_estimate_normals (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, unsigned int k, const Kernel &, unsigned int degree_fitting=2)
	Estimates normal directions of the [first, beyond) range of points using jet fitting on the k nearest neighbors. More...
template<typename SamplesInputIterator , typename SamplesPointPMap , typename QueriesInputIterator , typename QueriesPointPMap , typename OutputIterator , typename Kernel >
OutputIterator	estimate_local_k_neighbor_scales (SamplesInputIterator first, SamplesInputIterator beyond, SamplesPointPMap samples_pmap, QueriesInputIterator first_query, QueriesInputIterator beyond_query, QueriesPointPMap queries_pmap, OutputIterator output, const Kernel &)
	Estimates the local scale in a K nearest neighbors sense on a set of user-defined query points. More...
template<typename InputIterator , typename PointPMap , typename Kernel >
std::size_t	estimate_global_k_neighbor_scale (InputIterator first, InputIterator beyond, PointPMap point_pmap, const Kernel &kernel)
	Estimates the global scale in a K nearest neighbors sense. More...
template<typename SamplesInputIterator , typename SamplesPointPMap , typename QueriesInputIterator , typename QueriesPointPMap , typename OutputIterator , typename Kernel >
OutputIterator	estimate_local_range_scales (SamplesInputIterator first, SamplesInputIterator beyond, SamplesPointPMap samples_pmap, QueriesInputIterator first_query, QueriesInputIterator beyond_query, QueriesPointPMap queries_pmap, OutputIterator output, const Kernel &)
	Estimates the local scale in a range sense on a set of user-defined query points. More...
template<typename InputIterator , typename PointPMap , typename Kernel >
Kernel::FT	estimate_global_range_scale (InputIterator first, InputIterator beyond, PointPMap point_pmap, const Kernel &kernel)
	Estimates the global scale in a range sense. More...
template<typename Concurrency_tag , typename ForwardIterator , typename PointPMap , typename NormalPMap , typename Kernel >
void	pca_estimate_normals (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, NormalPMap normal_pmap, unsigned int k, const Kernel &)
	Estimates normal directions of the [first, beyond) range of points by linear least squares fitting of a plane over the k nearest neighbors. More...
template<typename InputIterator , typename PointPMap , typename Kernel >
InputIterator	remove_outliers (InputIterator first, InputIterator beyond, PointPMap point_pmap, unsigned int k, double threshold_percent, double threshold_distance, const Kernel &)
	Removes outliers: More...
template<typename ForwardIterator , typename PointPMap , typename Kernel >
ForwardIterator	grid_simplify_point_set (ForwardIterator first, ForwardIterator beyond, PointPMap point_pmap, double epsilon, const Kernel &)
	Merges points which belong to the same cell of a grid of cell size = epsilon. More...