jsci.maths.wavelet.cdf3_5

Class MultiSpline3_5

java.lang.Object

jsci.maths.wavelet.cdf3_5.MultiSpline3_5

All Implemented Interfaces:

Filter

public final class MultiSpline3_5
extends java.lang.Object
implements Filter

Cohen-Daubechies-Feauveau with N=3 and Ntilde=5 adapted to the interval by Deslauriers-Dubuc-Lemire

Constructor Summary

Constructors

Constructor and Description
MultiSpline3_5()

Method Summary

Modifier and Type	Method and Description
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.
static QuadraticSpline	scaling(int n0, int k)
static QuadraticSpline	wavelet(int n0, int k)

Methods inherited from class java.lang.Object

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

Constructor Detail

MultiSpline3_5

public MultiSpline3_5()

Method Detail

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

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

scaling

public static QuadraticSpline scaling(int n0,
                                      int k)

wavelet

public static QuadraticSpline wavelet(int n0,
                                      int k)