de.lmu.ifi.dbs.elki.distance.distancefunction

Class LorentzianDistanceFunction

java.lang.Object

de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractPrimitiveDistanceFunction<NumberVector>

de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractNumberVectorDistanceFunction

de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractNumberVectorNorm

de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractSpatialNorm

de.lmu.ifi.dbs.elki.distance.distancefunction.LorentzianDistanceFunction

All Implemented Interfaces:

DistanceFunction<NumberVector>, Norm<NumberVector>, NumberVectorDistanceFunction<NumberVector>, PrimitiveDistanceFunction<NumberVector>, SpatialPrimitiveDistanceFunction<NumberVector>

@Reference(authors="M.-M. Deza and E. Deza",
           title="Dictionary of distances",
           booktitle="Dictionary of distances")
public class LorentzianDistanceFunction
extends AbstractSpatialNorm

Lorentzian distance function for vector spaces. Reference:

M.-M. Deza and E. Deza
Dictionary of distances

Author:

Erich Schubert

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	LorentzianDistanceFunction.Parameterizer Parameterization class.

Field Summary

Fields

Modifier and Type	Field and Description
static LorentzianDistanceFunction	STATIC Static instance.

Constructor Summary

Constructors

Constructor and Description
LorentzianDistanceFunction() Deprecated. Use STATIC instance instead.

Method Summary

Methods

Modifier and Type	Method and Description
double	distance(NumberVector v1, NumberVector v2) Computes the distance between two given DatabaseObjects according to this distance function.
double	minDist(SpatialComparable mbr1, SpatialComparable mbr2) Computes the distance between the two given MBRs according to this distance function.
double	norm(NumberVector v1) Compute the norm of object obj.

Methods inherited from class de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractSpatialNorm

instantiate

Methods inherited from class de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractNumberVectorDistanceFunction

dimensionality, dimensionality, dimensionality, dimensionality, getInputTypeRestriction

Methods inherited from class de.lmu.ifi.dbs.elki.distance.distancefunction.AbstractPrimitiveDistanceFunction

isMetric, isSymmetric

Methods inherited from class java.lang.Object

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

Methods inherited from interface de.lmu.ifi.dbs.elki.distance.distancefunction.PrimitiveDistanceFunction

getInputTypeRestriction

Methods inherited from interface de.lmu.ifi.dbs.elki.distance.distancefunction.DistanceFunction

isMetric, isSymmetric

Field Detail

STATIC

public static final LorentzianDistanceFunction STATIC

Static instance.

Constructor Detail

LorentzianDistanceFunction

@Deprecated
public LorentzianDistanceFunction()

Deprecated. Use STATIC instance instead.

Constructor.

Method Detail

distance

public double distance(NumberVector v1,
              NumberVector v2)

Description copied from interface: PrimitiveDistanceFunction

Computes the distance between two given DatabaseObjects according to this distance function.

Specified by:

distance in interface NumberVectorDistanceFunction<NumberVector>

Specified by:

distance in interface PrimitiveDistanceFunction<NumberVector>

Specified by:

distance in class AbstractPrimitiveDistanceFunction<NumberVector>

Parameters:

v1 - first DatabaseObject

v2 - second DatabaseObject

Returns:

the distance between two given DatabaseObjects according to this distance function

norm

public double norm(NumberVector v1)

Description copied from interface: Norm

Compute the norm of object obj.

Parameters:

v1 - Object

Returns:

Norm

minDist

public double minDist(SpatialComparable mbr1,
             SpatialComparable mbr2)

Description copied from interface: SpatialPrimitiveDistanceFunction

Computes the distance between the two given MBRs according to this distance function.

Parameters:

mbr1 - the first MBR object

mbr2 - the second MBR object

Returns:

the distance between the two given MBRs according to this distance function