edu.stanford.math.plex4.autogen.homology

Class ObjectClassicalHomology<F,U>

java.lang.Object

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

edu.stanford.math.plex4.autogen.homology.ObjectClassicalHomology<F,U>

public class ObjectClassicalHomology<F,U>
extends AbstractPersistenceAlgorithm<U>

This class performs the persistent homology algorithm as outlined in the paper "Computing Persistent Homology" by Zomorodian and Carlsson.

F the underlying type of the coefficient field

U the underlying basis type

Author:

autogen

Field Summary

Fields

Modifier and Type	Field and Description
protected edu.stanford.math.primitivelib.autogen.algebraic.ObjectAbstractField<F>	field

Constructor Summary

Constructors

Constructor and Description
ObjectClassicalHomology(edu.stanford.math.primitivelib.autogen.algebraic.ObjectAbstractField<F> field, java.util.Comparator<U> basisComparator, int minDimension, int maxDimension) This constructor initializes the object with a field and a comparator on the basis type.

Method Summary

Methods

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

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

computeIntervals

Methods inherited from class java.lang.Object

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

Field Detail

field

protected final edu.stanford.math.primitivelib.autogen.algebraic.ObjectAbstractField<F> field

Constructor Detail

ObjectClassicalHomology

public ObjectClassicalHomology(edu.stanford.math.primitivelib.autogen.algebraic.ObjectAbstractField<F> field,
                       java.util.Comparator<U> basisComparator,
                       int minDimension,
                       int maxDimension)

This constructor initializes the object with a field and a comparator on the basis type.

Parameters:

field - a field structure on the type F

basisComparator - a comparator on the basis type U

minDimension - the minimum dimension to compute

maxDimension - the maximum dimension to compute

Method Detail

computeIndexIntervals

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

Description copied from class: AbstractPersistenceAlgorithm

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.

Specified by:

computeIndexIntervals in class AbstractPersistenceAlgorithm<U>

Parameters:

stream - the filtered chain complex

Returns:

the persistence intervals of the given complex