org.jscience.mathematics.wavelet.haar
Class MultiSplineHaar

java.lang.Object
  extended by org.jscience.mathematics.wavelet.Multiresolution
      extended by org.jscience.mathematics.wavelet.haar.MultiSplineHaar
All Implemented Interfaces:
Filter

public final class MultiSplineHaar
extends Multiresolution
implements Filter

************************************* Haar Wavelets


Field Summary
protected static int filtretype
           
 
Constructor Summary
MultiSplineHaar()
          Creates a new MultiSplineHaar object.
 
Method Summary
 MultiscaleFunction dualScaling(int n0, int k)
          DOCUMENT ME!
 MultiscaleFunction dualWavelet(int n0, int k)
          DOCUMENT ME!
 int getFilterType()
          ************************************* This method is used to compute how the number of scaling functions changes from on scale to the other.
 double[] highpass(double[] gete)
          ************************************* 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)
          ***********************************

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

 double[] lowpass(double[] v, double[] param)
          ************************************************ **************************************************
 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!
static PiecewiseConstant scaling(int n0, int k)
          ********************************* ***********************************
static PiecewiseConstant wavelet(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
Constructor Detail

MultiSplineHaar

public MultiSplineHaar()
Creates a new MultiSplineHaar 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)
************************************************ **************************************************

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)
***********************************

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

Specified by:
lowpass in interface Filter
Parameters:
gete - DOCUMENT ME!
Returns:
DOCUMENT ME!

highpass

public double[] highpass(double[] gete)
************************************* 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:
gete - DOCUMENT ME!
Returns:
DOCUMENT ME!

scaling

public static PiecewiseConstant scaling(int n0,
                                        int k)
********************************* ***********************************


wavelet

public static PiecewiseConstant wavelet(int n0,
                                        int k)
********************************** ************************************