net.mumie.mathletfactory.math.algebra.transform

Class WaveletTransform

java.lang.Object

net.mumie.mathletfactory.math.algebra.transform.WaveletTransform

public class WaveletTransform
extends java.lang.Object

This class is used to apply wavelet transformations and inverse transformations on a matrix

Author:

markov

Document status:

finished

Constructor Summary

Constructors

Constructor and Description
WaveletTransform()

Method Summary

Methods

Modifier and Type	Method and Description
static NumberMatrix	getTransformingMatrix(java.lang.Class numberClass, int n) Returns a quadrat NumberMatrix that stays left of the to transformed matrix in in a wavelet transformation.
static NumberMatrix	inverseTransform(NumberMatrix aMatrix) Returns the wavelet inverse tranformed matix of the argument matrix
static NumberMatrix	transform(NumberMatrix aMatrix) Returns the wavelet tranformed matix of the argument matrix

Methods inherited from class java.lang.Object

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

Constructor Detail

WaveletTransform

public WaveletTransform()

Method Detail

transform

public static NumberMatrix transform(NumberMatrix aMatrix)

Returns the wavelet tranformed matix of the argument matrix

Parameters:

aMatrix - schould have even number of columns and rows

Returns:

the matix that is transformed with wavelet

inverseTransform

public static NumberMatrix inverseTransform(NumberMatrix aMatrix)

Returns the wavelet inverse tranformed matix of the argument matrix

Parameters:

aMatrix - is a wavelet transformed matrix

Returns:

the original matrix

getTransformingMatrix

public static NumberMatrix getTransformingMatrix(java.lang.Class numberClass,
                                 int n)

Returns a quadrat NumberMatrix that stays left of the to transformed matrix in in a wavelet transformation. To get the right matrix you have to transpose the returned one (see transpose()). In case of inverse transformation the left matrix is the inversed of the returned one see inverse()) and the right one is the transposed and inversed.

Parameters:

numberClass - tha class of the returned matrix

n - the dimension of the quadrat matrix

Returns:

a transforming matrix that looks like: 0.5 0.5 0 0 0 0 0 ... 0 0 0.5 0.5 0 0 0 ... . . 1 -1 0 0 0 0 0 ... 0 0 1 -1 0 0 0 ... . .