CGAL::Homological_discrete_vector_field::Hdvf_traits_d< K > Struct Template Reference

#include <CGAL/HDVF/Hdvf_traits_d.h>

Definition

template<typename K>
struct CGAL::Homological_discrete_vector_field::Hdvf_traits_d< K >

The class Hdvf_traits_d implements the HDVFTraits concept for dD data, using a geometric kernel K.

Template Parameters

K	a geometric traits class. Must be either Epick_d or Epeck_d with a fixed dimension.

Is model of

HDVFTraits

Public Types
using	Dimension = Dimension_tag< K::Dimension::value >
typedef K	Kernel
typedef K::Point_d	Point
typedef K::Vector_d	Vector
typedef K::FT	FT
typedef CGAL::Bbox_d< Dimension >	Bbox
typedef Exact_predicates_inexact_constructions_kernel::Point_3	Point3

Static Public Member Functions
static std::function< typename Exact_predicates_inexact_constructions_kernel::Point_3(const typename K::Point_d &)>	plane_projection_builder (typename K::Point_d p0, typename K::Vector_d d1, typename K::Vector_d d2, typename K::Vector_d d3)
	Builds a projector over an affine subspace of dimension 3.
static std::function< typename Exact_predicates_inexact_constructions_kernel::Point_3(const typename K::Point_d &)>	pca_frame_builder (const std::vector< typename K::Point_d > &pts)
	Builds a projector over the affine subspace of dimension 3 given by the principal components analysis of a set of points.

Static Public Attributes
static std::function< Point3(const Point &p)>	to_point3 = Hdvf_traits_d<K>::default_projection
	Converts a Point to a Point3 for VTK rendering.
static std::function< Point3(const Point &p)>	default_projection
	Default projection operator.

Member Function Documentation

pca_frame_builder()

template<typename K >

static std::function< typename Exact_predicates_inexact_constructions_kernel::Point_3(const typename K::Point_d &)> CGAL::Homological_discrete_vector_field::Hdvf_traits_d< K >::pca_frame_builder ( const std::vector< typename K::Point_d > &  pts )

static

Builds a projector over the affine subspace of dimension 3 given by the principal components analysis of a set of points.

Builds the projector over the affine space generated by the barycenter of pts points and three principal directions.

Parameters

pts	A vector of points.

Returns

The projector (performing dimension reduction) over the subspace of dimension 3 given by the PCA of the points.

plane_projection_builder()

template<typename K >

static std::function< typename Exact_predicates_inexact_constructions_kernel::Point_3(const typename K::Point_d &)> CGAL::Homological_discrete_vector_field::Hdvf_traits_d< K >::plane_projection_builder ( typename K::Point_d  p0, typename K::Vector_d  d1, typename K::Vector_d  d2, typename K::Vector_d  d3  )

static

Builds a projector over an affine subspace of dimension 3.

Builds the projector over the affine space generated by the point p0 and an orthonormal basis d1, d2 and d3.

Parameters

p0	A Point_d contained in the affine subspace.
d1	First direction of the subspace.
d2	Second direction of the subspace.
d3	Third direction of the subspace.

Returns

The orthogonal projector of a Point onto this affine subspace of dimension 3.

Member Data Documentation

default_projection

template<typename K >

std::function< typename Exact_predicates_inexact_constructions_kernel::Point_3(const typename K::Point_d &)> CGAL::Homological_discrete_vector_field::Hdvf_traits_d< K >::default_projection

static

Initial value:

=
    [](const typename K::Point_d& p) { return typename Exact_predicates_inexact_constructions_kernel::Point_3(p[0], p[1], p[2]); }

Default projection operator.

Projects a dD point to its three first coordinates.

to_point3

template<typename K >

std::function< typename Exact_predicates_inexact_constructions_kernel::Point_3(const typename K::Point_d &)> CGAL::Homological_discrete_vector_field::Hdvf_traits_d< K >::to_point3 = Hdvf_traits_d<K>::default_projection

static

Converts a Point to a Point3 for VTK rendering.

By default, this function is the default projection. Update it to change the projection for VTK rendering.

Parameters

p	Constant reference over the projected point.

Returns

The projected Point3.