Gudhi::witness_complex::Euclidean_witness_complex< Kernel_ > Class Template Reference

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]vertexVertex handle of the point to retrieve.

The documentation for this class was generated from the following file:
GUDHI  Version 3.1.1  - C++ library for Topological Data Analysis (TDA) and Higher Dimensional Geometry Understanding.  - Copyright : MIT Generated on Fri Feb 7 2020 16:35:36 for GUDHI by Doxygen 1.8.13