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Class JSci.maths.wavelet.cdf3_5.CDF3_5

java.lang.Object
   |
   +----JSci.maths.wavelet.Multiresolution
           |
           +----JSci.maths.wavelet.cdf3_5.CDF3_5

public final class CDF3_5

extends Multiresolution

implements Filter

filtretype

minlength

CDF3_5()

dualScaling(int, int)

dualWavelet(int, int)

evalScaling(int, int, int)

evalWavelet(int, int, int)

getFilterType()

This method is used to compute how the number of scaling functions changes from on scale to the other.

highpass(double[])

This is the implementation of the highpass Filter.

highpass(double[], double[])

This is the implementation of the highpass Filter.

lowpass(double[])

This is the implementation of the lowpass Filter.

lowpass(double[], double[])

This is the implementation of the lowpass Filter.

previousDimension(int)

This method return the number of "scaling" functions at the previous scale given a number of scaling functions.

primaryScaling(int, int)

primaryWavelet(int, int)

 protected static final int filtretype

 protected static final int minlength

 public CDF3_5()

 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

 public MultiscaleFunction primaryScaling(int n0,
                                          int k)

Overrides:

primaryScaling in class Multiresolution

 public MultiscaleFunction dualScaling(int n0,
                                       int k)

Overrides:

dualScaling in class Multiresolution

 public MultiscaleFunction primaryWavelet(int n0,
                                          int k)

Overrides:

primaryWavelet in class Multiresolution

 public MultiscaleFunction dualWavelet(int n0,
                                       int k)

Overrides:

dualWavelet in class Multiresolution

 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

 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.

 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.

 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.

 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.

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

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

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