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Class JSci.maths.wavelet.haar.MultiSplineHaar 

java.lang.Object
   |
   +----JSci.maths.wavelet.Multiresolution
           |
           +----JSci.maths.wavelet.haar.MultiSplineHaar
public final class MultiSplineHaar
extends Multiresolution
implements Filter, NumericalConstants
Haar Wavelets

Variable Index

o filtretype

Constructor Index

o MultiSplineHaar()

Method Index

o dualScaling(int, int)
o dualWavelet(int, int)
o getFilterType()
This method is used to compute how the number of scaling functions changes from on scale to the other.
o highpass(double[])
This is the implementation of the highpass Filter.
o highpass(double[], double[])
This is the implementation of the highpass Filter.
o lowpass(double[])
o lowpass(double[], double[])
o previousDimension(int)
This method return the number of "scaling" functions at the previous scale given a number of scaling functions.
o primaryScaling(int, int)
o primaryWavelet(int, int)
o scaling(int, int)
o wavelet(int, int)

Variables

o filtretype 
 protected static final int filtretype

Constructors

o MultiSplineHaar 
 public MultiSplineHaar()

Methods

o 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.

Overrides:
getFilterType in class Multiresolution
o primaryScaling 
 public MultiscaleFunction primaryScaling(int n0,
                                          int k)
Overrides:
primaryScaling in class Multiresolution
o dualScaling 
 public MultiscaleFunction dualScaling(int n0,
                                       int k)
Overrides:
dualScaling in class Multiresolution
o primaryWavelet 
 public MultiscaleFunction primaryWavelet(int n0,
                                          int k)
Overrides:
primaryWavelet in class Multiresolution
o dualWavelet 
 public MultiscaleFunction dualWavelet(int n0,
                                       int k)
Overrides:
dualWavelet in class Multiresolution
o 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".

Overrides:
previousDimension in class Multiresolution
o lowpass 
 public double[] lowpass(double v[],
                         double param[])
o 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.

o lowpass 
 public double[] lowpass(double gete[])
o 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.

o scaling 
 public static PiecewiseConstant scaling(int n0,
                                         int k)
o wavelet 
 public static PiecewiseConstant wavelet(int n0,
                                         int k)

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