edu.stanford.math.plex4.homology.interfaces

Class AbstractPersistenceAlgorithm<T>

java.lang.Object

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

Type Parameters:

T - the underlying basis type of the filtered chain complex

Direct Known Subclasses:

AbstractPersistenceBasisAlgorithm, BooleanClassicalHomology, IntClassicalHomology, ObjectClassicalHomology, PersistentCohomologyPrototype, Plex3PersistenceAlgorithm, ZigZagHomology

public abstract class AbstractPersistenceAlgorithm<T>
extends java.lang.Object

This interface defines the functionality of a persistence algorithm. Namely it is a mapping which takes a filtered chain complex to a barcode collection.

Author:

Andrew Tausz

Constructor Summary

Constructors

Constructor and Description
AbstractPersistenceAlgorithm()

Method Summary

Methods

Modifier and Type	Method and Description
abstract BarcodeCollection<java.lang.Integer>	computeIndexIntervals(AbstractFilteredStream<T> stream) This function computes the persistence index intervals of a filtered chain complex.
BarcodeCollection<java.lang.Double>	computeIntervals(AbstractFilteredStream<T> stream) This function computes the persistence intervals of a filtered chain complex.

Methods inherited from class java.lang.Object

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

Constructor Detail

AbstractPersistenceAlgorithm

public AbstractPersistenceAlgorithm()

Method Detail

computeIndexIntervals

public abstract BarcodeCollection<java.lang.Integer> computeIndexIntervals(AbstractFilteredStream<T> stream)

This function computes the persistence index intervals of a filtered chain complex. In other words, it returns intervals corresponding to the internal filtration indices of the basis elements.

Parameters:

stream - the filtered chain complex

Returns:

the persistence intervals of the given complex

computeIntervals

public BarcodeCollection<java.lang.Double> computeIntervals(AbstractFilteredStream<T> stream)

This function computes the persistence intervals of a filtered chain complex.

Parameters:

stream - the filtered chain complex

Returns:

the persistence intervals of the given complex