Gudhi::persistent_cohomology::Persistent_cohomology< FilteredComplex, CoefficientField > Class Template Reference

Computes the persistent cohomology of a filtered complex. More...

#include <Persistent_cohomology.h>

Public Member Functions
	Persistent_cohomology (Complex_ds &cpx)
	Initializes the Persistent_cohomology class. More...
	Persistent_cohomology (Complex_ds &cpx, bool persistence_dim_max)
	Initializes the Persistent_cohomology class. More...
void	init_coefficients (int charac)
	Initializes the coefficient field.
void	init_coefficients (int charac_min, int charac_max)
	Initializes the coefficient field for multi-field persistent homology.
void	compute_persistent_cohomology (Filtration_value min_interval_length=0)
	Compute the persistent homology of the filtered simplicial complex. More...
void	output_diagram (std::ostream &ostream=std::cout)
	Output the persistence diagram in ostream. More...

Additional Inherited Members
Public Types inherited from PersistentHomology
typedef unspecified	Filtered_complex
	Type of filtered cell complex on which persistent homology is computed. More...
typedef unspecified	Coefficient_field
	Type of coefficients to be used for computing persistent homology. More...

Detailed Description

template<class FilteredComplex, class CoefficientField>
class Gudhi::persistent_cohomology::Persistent_cohomology< FilteredComplex, CoefficientField >

Computes the persistent cohomology of a filtered complex.

The computation is implemented with a Compressed Annotation Matrix (CAM)[5], and is adapted to the computation of Multi-Field Persistent Homology (MF) [3] .

Constructor & Destructor Documentation

template<class FilteredComplex, class CoefficientField>

Gudhi::persistent_cohomology::Persistent_cohomology< FilteredComplex, CoefficientField >::Persistent_cohomology ( Complex_ds &  cpx )

inlineexplicit

Initializes the Persistent_cohomology class.

Parameters

[in]

cpx

Complex for which the persistent homology is computed. cpx is a model of FilteredComplex

template<class FilteredComplex, class CoefficientField>

Gudhi::persistent_cohomology::Persistent_cohomology< FilteredComplex, CoefficientField >::Persistent_cohomology ( Complex_ds &  cpx, bool  persistence_dim_max  )

inline

Initializes the Persistent_cohomology class.

Parameters

[in]	cpx	Complex for which the persistent homology is compiuted. cpx is a model of FilteredComplex
[in]	persistence_dim_max	if true, the persistent homology for the maximal dimension in the complex is computed. If false, it is ignored. Default is false.

Member Function Documentation

template<class FilteredComplex, class CoefficientField>

void Gudhi::persistent_cohomology::Persistent_cohomology< FilteredComplex, CoefficientField >::compute_persistent_cohomology ( Filtration_value  min_interval_length = 0 )

inline

Compute the persistent homology of the filtered simplicial complex.

Parameters

[in]

min_interval_length

the computation discards all intervals of length less or equal than min_interval_length

Assumes that the filtration provided by the simplicial complex is valid. Undefined behavior otherwise.

template<class FilteredComplex, class CoefficientField>

void Gudhi::persistent_cohomology::Persistent_cohomology< FilteredComplex, CoefficientField >::output_diagram ( std::ostream &  ostream = std::cout )

inline

Output the persistence diagram in ostream.

The file format is the following: p1*...*pr dim b d

where "dim" is the dimension of the homological feature, b and d are respectively the birth and death of the feature and p1*...*pr is the product of prime numbers pi such that the homology feature exists in homology with Z/piZ coefficients.

---

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

• include/gudhi/Persistent_cohomology.h