org.jscience.mathematics.wavelet.cdf2_4
Class CDF2_4

java.lang.Object
  org.jscience.mathematics.wavelet.Multiresolution
      org.jscience.mathematics.wavelet.cdf2_4.CDF2_4

All Implemented Interfaces:

Filter

public final class CDF2_4
extends Multiresolution
implements Filter

*************************************** Cohen-Daubechies-Feauveau with N=2 and Ntilde=4 adapted to the interval by Deslauriers-Dubuc-Lemire

Field Summary

protected static int	filtretype
protected static int	minlength

Constructor Summary

CDF2_4()
Creates a new CDF2_4 object.

Method Summary

MultiscaleFunction	dualScaling(int n0, int k) DOCUMENT ME!
MultiscaleFunction	dualWavelet(int n0, int k) DOCUMENT ME!
double[]	evalScaling(int n0, int k, int j1) ********************************* ************************************
double[]	evalWavelet(int n0, int k, int j1) ********************************* ************************************
int	getFilterType() ************************************* This method is used to compute how the number of scaling functions changes from on scale to the other.
double[]	highpass(double[] v) ************************************* This is the implementation of the highpass Filter.
double[]	highpass(double[] v, double[] param) ************************************* This is the implementation of the highpass Filter.
double[]	lowpass(double[] gete) ************************************* This is the implementation of the lowpass Filter.
double[]	lowpass(double[] v, double[] param) ************************************* This is the implementation of the lowpass Filter.
int	previousDimension(int k) ************************************* This method return the number of "scaling" functions at the previous scale given a number of scaling functions.
MultiscaleFunction	primaryScaling(int n0, int k) DOCUMENT ME!
MultiscaleFunction	primaryWavelet(int n0, int k) DOCUMENT ME!

Methods inherited from class java.lang.Object

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

Field Detail

filtretype

protected static final int filtretype

See Also:

Constant Field Values

minlength

protected static final int minlength

See Also:

Constant Field Values

Constructor Detail

CDF2_4

public CDF2_4()

Creates a new CDF2_4 object.

Method Detail

getFilterType

public int getFilterType()

************************************* This method is used to compute how the number of scaling functions changes from on scale to the other. Basically, if you have k scaling function and a Filter of type t, you'll have 2*k+t scaling functions at the next scale (dyadic case). Notice that this method assumes that one is working with the dyadic grid while the method "previousDimension" define in the interface "Filter" doesn't. ****************************************

Specified by:

getFilterType in class Multiresolution

Returns:

DOCUMENT ME!

primaryScaling

public MultiscaleFunction primaryScaling(int n0,
                                         int k)

DOCUMENT ME!

Specified by:

primaryScaling in class Multiresolution

Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

Returns:

DOCUMENT ME!

dualScaling

public MultiscaleFunction dualScaling(int n0,
                                      int k)

DOCUMENT ME!

Specified by:

dualScaling in class Multiresolution

Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

Returns:

DOCUMENT ME!

primaryWavelet

public MultiscaleFunction primaryWavelet(int n0,
                                         int k)

DOCUMENT ME!

Specified by:

primaryWavelet in class Multiresolution

Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

Returns:

DOCUMENT ME!

dualWavelet

public MultiscaleFunction dualWavelet(int n0,
                                      int k)

DOCUMENT ME!

Specified by:

dualWavelet in class Multiresolution

Parameters:

n0 - DOCUMENT ME!

k - DOCUMENT ME!

Returns:

DOCUMENT ME!

previousDimension

public int previousDimension(int k)

************************************* This method return the number of "scaling" functions at the previous scale given a number of scaling functions. The answer is always smaller than the provided value (about half since this is a dyadic implementation). This relates to the same idea as the "Filter type". It is used by the interface "Filter". ***************************************

Specified by:

previousDimension in interface Filter

Overrides:

previousDimension in class Multiresolution

Parameters:

k - DOCUMENT ME!

Returns:

DOCUMENT ME!

lowpass

public double[] lowpass(double[] v,
                        double[] param)

************************************* This is the implementation of the lowpass Filter. It is used by the interface "Filter". Lowpass filters are normalized so that they preserve constants away from the boundaries. ***************************************

Specified by:

lowpass in interface Filter

Parameters:

v - DOCUMENT ME!

param - a parameter for the filter

Returns:

DOCUMENT ME!

highpass

public double[] highpass(double[] v,
                         double[] param)

************************************* This is the implementation of the highpass Filter. It is used by the interface "Filter". Highpass filters are normalized in order to get L2 orthonormality of the resulting wavelets (when it applies). See the class DiscreteHilbertSpace for an implementation of the L2 integration. ***************************************

Specified by:

highpass in interface Filter

Parameters:

v - DOCUMENT ME!

param - a parameter for the filter

Returns:

DOCUMENT ME!

lowpass

public double[] lowpass(double[] gete)

************************************* This is the implementation of the lowpass Filter. It is used by the interface "Filter". Lowpass filters are normalized so that they preserve constants away from the boundaries. ***************************************

Specified by:

lowpass in interface Filter

Parameters:

gete - DOCUMENT ME!

Returns:

DOCUMENT ME!

highpass

public double[] highpass(double[] v)

************************************* This is the implementation of the highpass Filter. It is used by the interface "Filter". Highpass filters are normalized in order to get L2 orthonormality of the resulting wavelets (when it applies). See the class DiscreteHilbertSpace for an implementation of the L2 integration. ***************************************

Specified by:

highpass in interface Filter

Parameters:

v - DOCUMENT ME!

Returns:

DOCUMENT ME!

evalScaling

public double[] evalScaling(int n0,
                            int k,
                            int j1)

********************************* ************************************

evalWavelet

public double[] evalWavelet(int n0,
                            int k,
                            int j1)

*********************************

************************************