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Java Source Code / Java Documentation » Science » JSci » JSci.maths.wavelet.daubechies3 
Source Cross Reference  Class Diagram Java Document (Java Doc) 


java.lang.Object
   JSci.maths.wavelet.Multiresolution
      JSci.maths.wavelet.daubechies3.Daubechies3

Daubechies3
final public class Daubechies3 extends Multiresolution implements Filter,NumericalConstants(Code)
Daubechies wavelets adapted to the interval by Meyer. Thanks to Pierre Vial for the filters.
author:
   Daniel Lemire


Field Summary
final protected static  intfiltretype
    
final protected static  intminlength
    
final static  double[]phv0
    
final static  double[]phv1
    
final static  double[]phvd0
    
final static  double[]phvd0temp
    
final static  double[]phvd1
    
final static  double[]phvd1temp
    
final static  double[]phvg
     On définit ici le filtre comme tel par le vecteur phvg (filtre passe-haut).
final static  double[]v0
    
final static  double[]v0temp
    
final static  double[]v1
    
final static  double[]v1temp
    
final static  double[]v2
    
final static  double[]v2temp
    
final static  double[]v3
    
final static  double[]v3temp
    
final static  double[]vd0
    
final static  double[]vd0temp
    
final static  double[]vd1
    
final static  double[]vd1temp
    
final static  double[]vd2
    
final static  double[]vd2temp
    
final static  double[]vd3
    
final static  double[]vd3temp
    
final static  double[]vg
    
final static  double[]vgtemp
    

Constructor Summary
public  Daubechies3()
    

Method Summary
public  MultiscaleFunctiondualScaling(int n0, int k)
    
public  MultiscaleFunctiondualWavelet(int n0, int k)
    
public  double[]evalScaling(int n0, int k, int j1)
    
public  double[]evalWavelet(int n0, int k, int j1)
    
public  intgetFilterType()
     This method is used to compute how the number of scaling functions changes from on scale to the other.
public  double[]highpass(double[] v, double[] param)
     This is the implementation of the highpass Filter.
public  double[]highpass(double[] gete)
     This is the implementation of the highpass Filter.
public  double[]lowpass(double[] v, double[] param)
     This is the implementation of the lowpass Filter.
public  double[]lowpass(double[] gete)
     This is the implementation of the lowpass Filter.
public  intpreviousDimension(int k)
     This method return the number of "scaling" functions at the previous scale given a number of scaling functions.
public  MultiscaleFunctionprimaryScaling(int n0, int k)
    
public  MultiscaleFunctionprimaryWavelet(int n0, int k)
    

Field Detail
filtretype
final protected static int filtretype(Code)



minlength
final protected static int minlength(Code)



phv0
final static double[] phv0(Code)



phv1
final static double[] phv1(Code)



phvd0
final static double[] phvd0(Code)



phvd0temp
final static double[] phvd0temp(Code)



phvd1
final static double[] phvd1(Code)



phvd1temp
final static double[] phvd1temp(Code)



phvg
final static double[] phvg(Code)
On définit ici le filtre comme tel par le vecteur phvg (filtre passe-haut).



v0
final static double[] v0(Code)



v0temp
final static double[] v0temp(Code)



v1
final static double[] v1(Code)



v1temp
final static double[] v1temp(Code)



v2
final static double[] v2(Code)



v2temp
final static double[] v2temp(Code)



v3
final static double[] v3(Code)



v3temp
final static double[] v3temp(Code)



vd0
final static double[] vd0(Code)



vd0temp
final static double[] vd0temp(Code)



vd1
final static double[] vd1(Code)



vd1temp
final static double[] vd1temp(Code)



vd2
final static double[] vd2(Code)



vd2temp
final static double[] vd2temp(Code)



vd3
final static double[] vd3(Code)



vd3temp
final static double[] vd3temp(Code)



vg
final static double[] vg(Code)



vgtemp
final static double[] vgtemp(Code)




Constructor Detail
Daubechies3
public Daubechies3()(Code)




Method Detail
dualScaling
public MultiscaleFunction dualScaling(int n0, int k)(Code)



dualWavelet
public MultiscaleFunction dualWavelet(int n0, int k)(Code)



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



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



getFilterType
public int getFilterType()(Code)
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.



highpass
public double[] highpass(double[] v, double[] param)(Code)
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.



highpass
public double[] highpass(double[] gete)(Code)
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.



lowpass
public double[] lowpass(double[] v, double[] param)(Code)
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.



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



previousDimension
public int previousDimension(int k)(Code)
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".



primaryScaling
public MultiscaleFunction primaryScaling(int n0, int k)(Code)



primaryWavelet
public MultiscaleFunction primaryWavelet(int n0, int k)(Code)



Methods inherited from JSci.maths.wavelet.Multiresolution
abstract public MultiscaleFunction dualScaling(int n0, int k)(Code)(Java Doc)
abstract public MultiscaleFunction dualWavelet(int n0, int k)(Code)(Java Doc)
abstract public int getFilterType()(Code)(Java Doc)
public int previousDimension(int k)(Code)(Java Doc)
abstract public MultiscaleFunction primaryScaling(int n0, int k)(Code)(Java Doc)
abstract public MultiscaleFunction primaryWavelet(int n0, int k)(Code)(Java Doc)

Methods inherited from java.lang.Object
native protected Object clone() throws CloneNotSupportedException(Code)(Java Doc)
public boolean equals(Object obj)(Code)(Java Doc)
protected void finalize() throws Throwable(Code)(Java Doc)
final native public Class getClass()(Code)(Java Doc)
native public int hashCode()(Code)(Java Doc)
final native public void notify()(Code)(Java Doc)
final native public void notifyAll()(Code)(Java Doc)
public String toString()(Code)(Java Doc)
final native public void wait(long timeout) throws InterruptedException(Code)(Java Doc)
final public void wait(long timeout, int nanos) throws InterruptedException(Code)(Java Doc)
final public void wait() throws InterruptedException(Code)(Java Doc)

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