Package elki.distance.minkowski
Class MinimumDistance
- java.lang.Object
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- elki.distance.AbstractNumberVectorDistance
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- elki.distance.minkowski.MinimumDistance
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- All Implemented Interfaces:
Distance<NumberVector>
,Norm<NumberVector>
,NumberVectorDistance<NumberVector>
,PrimitiveDistance<NumberVector>
,SpatialPrimitiveDistance<NumberVector>
@Alias({"minimum","min"}) public class MinimumDistance extends AbstractNumberVectorDistance implements SpatialPrimitiveDistance<NumberVector>, Norm<NumberVector>
Minimum distance forNumberVector
s.Minimum distance is defined as: \[ \text{Minimum}_p(\vec{x},\vec{y}) := \min_i |x_i-y_i| \]
This is not a metric, but can sometimes be useful as a lower bound.
- Since:
- 0.3
- Author:
- Erich Schubert
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Nested Class Summary
Nested Classes Modifier and Type Class Description static class
MinimumDistance.Par
Parameterization class.
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Field Summary
Fields Modifier and Type Field Description static MinimumDistance
STATIC
Static instance.
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Constructor Summary
Constructors Constructor Description MinimumDistance()
Deprecated.Use static instance!
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description double
distance(NumberVector v1, NumberVector v2)
Computes the distance between two given DatabaseObjects according to this distance function.boolean
equals(java.lang.Object obj)
int
hashCode()
boolean
isMetric()
Is this distance function metric (satisfy the triangle inequality)double
minDist(SpatialComparable mbr1, SpatialComparable mbr2)
Computes the distance between the two given MBRs according to this distance function.double
norm(NumberVector v)
Compute the norm of object obj.java.lang.String
toString()
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Methods inherited from class elki.distance.AbstractNumberVectorDistance
dimensionality, dimensionality, dimensionality, dimensionality, dimensionality, dimensionality, dimensionality, dimensionality, getInputTypeRestriction
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Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
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Methods inherited from interface elki.distance.Distance
isSquared, isSymmetric
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Methods inherited from interface elki.distance.PrimitiveDistance
getInputTypeRestriction
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Methods inherited from interface elki.distance.SpatialPrimitiveDistance
instantiate
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Field Detail
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STATIC
public static final MinimumDistance STATIC
Static instance. Use this.
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Constructor Detail
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MinimumDistance
@Deprecated public MinimumDistance()
Deprecated.Use static instance!Constructor - useSTATIC
instead.
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Method Detail
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distance
public double distance(NumberVector v1, NumberVector v2)
Description copied from interface:PrimitiveDistance
Computes the distance between two given DatabaseObjects according to this distance function.- Specified by:
distance
in interfaceNumberVectorDistance<NumberVector>
- Specified by:
distance
in interfacePrimitiveDistance<NumberVector>
- Parameters:
v1
- first DatabaseObjectv2
- second DatabaseObject- Returns:
- the distance between two given DatabaseObjects according to this distance function
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norm
public double norm(NumberVector v)
Description copied from interface:Norm
Compute the norm of object obj.- Specified by:
norm
in interfaceNorm<NumberVector>
- Parameters:
v
- Object- Returns:
- Norm
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minDist
public double minDist(SpatialComparable mbr1, SpatialComparable mbr2)
Description copied from interface:SpatialPrimitiveDistance
Computes the distance between the two given MBRs according to this distance function.- Specified by:
minDist
in interfaceSpatialPrimitiveDistance<NumberVector>
- Parameters:
mbr1
- the first MBR objectmbr2
- the second MBR object- Returns:
- the distance between the two given MBRs according to this distance function
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isMetric
public boolean isMetric()
Description copied from interface:Distance
Is this distance function metric (satisfy the triangle inequality)- Specified by:
isMetric
in interfaceDistance<NumberVector>
- Returns:
true
when metric.
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toString
public java.lang.String toString()
- Overrides:
toString
in classjava.lang.Object
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equals
public boolean equals(java.lang.Object obj)
- Overrides:
equals
in classjava.lang.Object
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hashCode
public int hashCode()
- Overrides:
hashCode
in classjava.lang.Object
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