Constructs (weak) witness complex for given sets of witnesses and landmarks in Euclidean space. More...

Public Member Functions

template<typename LandmarkRange , typename WitnessRange >
	Euclidean_witness_complex (const LandmarkRange &landmarks, const WitnessRange &witnesses)
	Initializes member variables before constructing simplicial complex. More...

Point_d	get_point (Vertex_handle vertex) const
	Returns the point corresponding to the given vertex. More...

Public Member Functions inherited from Gudhi::witness_complex::Witness_complex< std::vector< Gudhi::spatial_searching::Kd_tree_search< Kernel_, std::vector< Kernel_::Point_d > >::INS_range > >
	Witness_complex (std::vector< Gudhi::spatial_searching::Kd_tree_search< Kernel_, std::vector< Kernel_::Point_d > >::INS_range > const &nearest_landmark_table)
	Initializes member variables before constructing simplicial complex. More...

bool	create_complex (SimplicialComplexForWitness &complex, double max_alpha_square, std::size_t limit_dimension=std::numeric_limits< std::size_t >::max()) const
	Outputs the (weak) witness complex of relaxation 'max_alpha_square' in a simplicial complex data structure. More...

Detailed Description

template<class Kernel_>
class Gudhi::witness_complex::Euclidean_witness_complex< Kernel_ >

Constructs (weak) witness complex for given sets of witnesses and landmarks in Euclidean space.

Template Parameters

Kernel_ requires a CGAL::Epick_d class.

Examples:: Witness_complex/example_nearest_landmark_table.cpp, Witness_complex/example_strong_witness_complex_off.cpp, Witness_complex/example_witness_complex_off.cpp, Witness_complex/example_witness_complex_sphere.cpp, and Witness_complex/weak_witness_persistence.cpp.

Constructor & Destructor Documentation

◆ Euclidean_witness_complex()

template<class Kernel_ >

template<typename LandmarkRange , typename WitnessRange >

Gudhi::witness_complex::Euclidean_witness_complex< Kernel_ >::Euclidean_witness_complex	(	const LandmarkRange &	landmarks,
		const WitnessRange &	witnesses
	)

inline

Initializes member variables before constructing simplicial complex.

Records landmarks from the range 'landmarks' into a table internally, as well as witnesses from the range 'witnesses'. Both ranges should have value_type Kernel_::Point_d.

Member Function Documentation

◆ get_point()

template<class Kernel_ >

Point_d Gudhi::witness_complex::Euclidean_witness_complex< Kernel_ >::get_point ( Vertex_handle vertex ) const

inline

Returns the point corresponding to the given vertex.

Parameters

[in] vertex Vertex handle of the point to retrieve.

The documentation for this class was generated from the following file:

include/gudhi/Euclidean_witness_complex.h