imagingbook.lib.math

Class VectorNorm

java.lang.Object

imagingbook.lib.math.VectorNorm

Direct Known Subclasses:

MahalanobisDistance, VectorNorm.L1, VectorNorm.L2, VectorNorm.Linf

public abstract class VectorNorm
extends Object

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	VectorNorm.L1
static class	VectorNorm.L2
static class	VectorNorm.Linf
static class	VectorNorm.NormType

Constructor Summary

Constructors

Constructor and Description
VectorNorm()

Method Summary

Modifier and Type	Method and Description
abstract double	distance(double[] a, double[] b) Calculates the distance between two vectors.
abstract double	distance(float[] a, float[] b)
abstract double	distance(int[] a, int[] b)
abstract double	distance2(double[] a, double[] b)
abstract double	distance2(float[] a, float[] b)
abstract double	distance2(int[] a, int[] b)
abstract double	getScale(int n) Returns a factor to scale magnitude and distance values to the range of the vector components of dimensionality n.
abstract double	magnitude(double[] x)
abstract double	magnitude(int[] x)

Methods inherited from class java.lang.Object

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

Constructor Detail

VectorNorm

public VectorNorm()

Method Detail

magnitude

public abstract double magnitude(double[] x)

magnitude

public abstract double magnitude(int[] x)

distance

public abstract double distance(double[] a,
                                double[] b)

Calculates the distance between two vectors.

Parameters:

a - first vector

b - second vector

Returns:

the distance between vectors a and b

distance

public abstract double distance(float[] a,
                                float[] b)

distance

public abstract double distance(int[] a,
                                int[] b)

distance2

public abstract double distance2(double[] a,
                                 double[] b)

Parameters:

a - first vector

b - second vector

Returns:

the squared distance between vectors a and b

distance2

public abstract double distance2(float[] a,
                                 float[] b)

distance2

public abstract double distance2(int[] a,
                                 int[] b)

getScale

public abstract double getScale(int n)

Returns a factor to scale magnitude and distance values to the range of the vector components of dimensionality n. This is prim. used for scaling color distances (n = 3). E.g., if components are distributed in [0,255], the distances multiplied by this factor should again be in [0,255].

Parameters:

n - dimensionality

Returns:

scale factor