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Class JSci.maths.wavelet.BasisFunctionLibrary 

java.lang.Object
   |
   +----JSci.maths.wavelet.BasisFunctionLibrary
public class BasisFunctionLibrary
extends Object
implements Cloneable
This class is meant to be used for Fast Wavelet Transform, Matching Pursuit and related signal processing algorithm. The basic idea is to automatically build and compress a library of "basis functions". Using Morse Coding this class delivers very fast code without sacrificing anything. The only fee is the one you pay to build the object, and it is a one time fee. Note : this class should be rewritten to use the java.util collections starting with jdk1.2. This class is not meant to be used directly but rather, you should build on it. It supports only 1D data.

Variable Index

o DFunction
o Fdual
o Fprimary

Constructor Index

o BasisFunctionLibrary()
o BasisFunctionLibrary(DiscreteFunction)

Method Index

o add(double[][], double[][])
o add(Multiresolution)
Attempt to add every possible functions belonging to a multiresolution.
o add(MultiscaleFunction)
Add the MultiscaleFunction to both the primary and dual internal arrays.
o add(MultiscaleFunction, MultiscaleFunction)
Add a clone of the given MultiscaleFunctions to the internal arrays of MultiscaleFunctions.
o add(MultiscaleFunction[])
Add the array of MultiscaleFunction to both the primary and dual internal arrays.
o checkBiorthogonality()
Checks whether whether or not the biorthogonality is satisfied If so, the return array should roughly be filled with ones.
o clone()
o cloneArrayDiscreteFunction(MultiscaleFunction[])
Clone an arry of DiscreteFunction.
o getData()
get a copy of the data object (no direct access)
o getDual(int)
o getMorseThreshold()
o getPrimary(int)
o getResidue(int)
o getResidues()
o getSize()
We will now attempt to match each MultiscaleFunction to the length of the data.
o getWeigth(int)
o getWeigths()
o includeFourier()
o includeMasslessFourier()
o norm()
o norm(double, double)
o setData(DiscreteFunction)
Allows the user to change the DiscreteFunction (see constructor).
o setMorseThreshold(double)

Variables

o Fprimary 
 protected DiscreteFunction Fprimary[]
o Fdual 
 protected DiscreteFunction Fdual[]
o DFunction 
 protected DiscreteFunction DFunction

Constructors

o BasisFunctionLibrary 
 protected BasisFunctionLibrary()
o BasisFunctionLibrary 
 public BasisFunctionLibrary(DiscreteFunction f)

Methods

o clone 
 public Object clone()
Overrides:
clone in class Object
o setMorseThreshold 
 public void setMorseThreshold(double p)
o getMorseThreshold 
 public double getMorseThreshold()
o includeFourier 
 public void includeFourier()
o includeMasslessFourier 
 public void includeMasslessFourier()
o getPrimary 
 public DiscreteFunction getPrimary(int k)
o getDual 
 public DiscreteFunction getDual(int k)
o setData 
 public void setData(DiscreteFunction f)
Allows the user to change the DiscreteFunction (see constructor).

Throws: IllegalArgumentException
if you try to change the number of data values (dimension of the DiscreteFunction)
o getData 
 public DiscreteFunction getData()
get a copy of the data object (no direct access)

o cloneArrayDiscreteFunction 
 protected static DiscreteFunction[] cloneArrayDiscreteFunction(MultiscaleFunction a[])
Clone an arry of DiscreteFunction. This method is needed to handle eventual null object.

o add 
 public void add(MultiscaleFunction fprimary,
                 MultiscaleFunction fdual)
Add a clone of the given MultiscaleFunctions to the internal arrays of MultiscaleFunctions.

o add 
 public void add(MultiscaleFunction f)
Add the MultiscaleFunction to both the primary and dual internal arrays.

o add 
 public void add(MultiscaleFunction f[])
Add the array of MultiscaleFunction to both the primary and dual internal arrays.

o add 
 public void add(Multiresolution mr)
Attempt to add every possible functions belonging to a multiresolution. Entirely automatic! Limited to dyadic multiresolutions.

o getResidues 
 public double[] getResidues()
o getResidue 
 public double getResidue(int k)
o getWeigths 
 public double[] getWeigths()
o getWeigth 
 public double getWeigth(int k)
o norm 
 public double norm()
o getSize 
 public int getSize()
We will now attempt to match each MultiscaleFunction to the length of the data.

o norm 
 protected static double norm(double a,
                              double b)
o checkBiorthogonality 
 public double[] checkBiorthogonality()
Checks whether whether or not the biorthogonality is satisfied If so, the return array should roughly be filled with ones.

o add 
 protected static double[][] add(double v[][],
                                 double w[][])

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