edu.stanford.math.plex4.homology.interfaces

Class AbstractPersistenceBasisAlgorithm<T,B>

java.lang.Object

edu.stanford.math.plex4.homology.interfaces.AbstractPersistenceAlgorithm<T>

edu.stanford.math.plex4.homology.interfaces.AbstractPersistenceBasisAlgorithm<T,B>

Type Parameters:

T - the underlying basis type of the filtered chain complex

B - the type of the generators of the persistence intervals

Direct Known Subclasses:

BooleanPersistenceAlgorithm, IntPersistenceAlgorithm, ObjectPersistenceAlgorithm

public abstract class AbstractPersistenceBasisAlgorithm<T,B>
extends AbstractPersistenceAlgorithm<T>

This interface defines the functionality of a persistence algorithm that also produces generators for each calculated interval.

Author:

Andrew Tausz

Constructor Summary

Constructors

Constructor and Description
AbstractPersistenceBasisAlgorithm()

Method Summary

Methods

Modifier and Type	Method and Description
abstract AnnotatedBarcodeCollection<java.lang.Integer,B>	computeAnnotatedIndexIntervals(AbstractFilteredStream<T> stream) This function computes the augmented persistence index intervals for a supplied filtered chain complex.
AnnotatedBarcodeCollection<java.lang.Double,B>	computeAnnotatedIntervals(AbstractFilteredStream<T> stream) This function computes the augmented persistence intervals for a supplied filtered chain complex.

Methods inherited from class edu.stanford.math.plex4.homology.interfaces.AbstractPersistenceAlgorithm

computeIndexIntervals, computeIntervals

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

AbstractPersistenceBasisAlgorithm

public AbstractPersistenceBasisAlgorithm()

Method Detail

computeAnnotatedIndexIntervals

public abstract AnnotatedBarcodeCollection<java.lang.Integer,B> computeAnnotatedIndexIntervals(AbstractFilteredStream<T> stream)

This function computes the augmented persistence index intervals for a supplied filtered chain complex. The augmented persistence intervals are the same as the regular persistence intervals, except that each interval is annotated with a generator of type B. Note that it returns intervals corresponding to the internal filtration indices of the basis elements.

Parameters:

stream - the filtered chain complex

Returns:

the augmented persistence intervals

computeAnnotatedIntervals

public AnnotatedBarcodeCollection<java.lang.Double,B> computeAnnotatedIntervals(AbstractFilteredStream<T> stream)

This function computes the augmented persistence intervals for a supplied filtered chain complex. The augmented persistence intervals are the same as the regular persistence intervals, except that each interval is annotated with a generator of type B.

Parameters:

stream - the filtered chain complex

Returns:

the augmented persistence intervals