JSci.maths.wavelet.cdf2_4
Class CDF2_4

java.lang.Object
  JSci.maths.wavelet.Multiresolution
      JSci.maths.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
(package private) static double[]	phv0
(package private) static double[]	phvg
(package private) static double[]	v0
(package private) static double[]	v1
(package private) static double[]	v2
(package private) static double[]	v3
(package private) static double[]	vd0
(package private) static double[]	vd1
(package private) static double[]	vd2
(package private) static double[]	vd3
(package private) static double[]	vg

Constructor Summary

CDF2_4()

Method Summary

MultiscaleFunction	dualScaling(int n0, int k)
MultiscaleFunction	dualWavelet(int n0, int k)
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)
MultiscaleFunction	primaryWavelet(int n0, int k)

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

vg

static final double[] vg

v3

static final double[] v3

v2

static final double[] v2

v1

static final double[] v1

v0

static final double[] v0

vd0

static final double[] vd0

vd1

static final double[] vd1

vd2

static final double[] vd2

vd3

static final double[] vd3

phvg

static final double[] phvg

phv0

static final double[] phv0

Constructor Detail

CDF2_4

public CDF2_4()

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

primaryScaling

public MultiscaleFunction primaryScaling(int n0,
                                         int k)

Specified by:

primaryScaling in class Multiresolution

dualScaling

public MultiscaleFunction dualScaling(int n0,
                                      int k)

Specified by:

dualScaling in class Multiresolution

primaryWavelet

public MultiscaleFunction primaryWavelet(int n0,
                                         int k)

Specified by:

primaryWavelet in class Multiresolution

dualWavelet

public MultiscaleFunction dualWavelet(int n0,
                                      int k)

Specified by:

dualWavelet in class Multiresolution

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

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

param - a parameter for the filter

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

param - a parameter for the filter

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

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

evalScaling

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

evalWavelet

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