JSci.maths.wavelet
Class Cascades

java.lang.Object
  JSci.maths.AbstractMath
      JSci.maths.wavelet.Cascades

public final class Cascades

extends AbstractMath

This class is a standard implementation of the Cascades algorithm.

Method Summary

static int	dimension(int n0, int jfin) Starting with n0 scaling functions and going jfin scales ahead (iterating jfin times), tells you how many scaling functions you'll have.
static int	dimension(int n0, int jfin, int filtertype) Starting with n0 scaling functions and going jfin scales ahead (iterating jfin times), tells you how many scaling functions you'll have.
static int	dimensionHaar(int n0, int jfin) Starting with n0 scaling functions and going jfin scales ahead (iterating jfin times), tells you how many scaling functions you'll have.
static double[]	doublesample(double[] data) Method used to oversample according to the Haar transform
static double[]	evalScaling(Filter filtre, int n0, int j1, int k)
static double[]	evaluation(Filter filtre, int j1, double[] init)
static double[]	evalWavelet(Filter filtre, int n0, int j1, int k)
static double[]	evalWavelet(Filter filtre, int filtretype, int n0, int j1, int k)
static double[]	evalWaveletHaar(Filter filtre, int n0, int j1, int k)
static double[]	evalWaveletQuadratic(Filter filtre, int n0, int j1, int k)
static double[]	oversample(double[] data) method used to oversample according to the lazy (Dirac Delta Function) interpolation
static int	PowerOf2(int pwrOf2)
static int	previousDimension(int filtretype, int k) This method return the number of "scaling" functions at the previous scale given a number of scaling functions.
static double[]	quadraticOversample(double[] v) Special oversampling for the quadratic spline interpolation
static double[]	supersample(double[] data) Special oversampling for the linear spline interpolation

Methods inherited from class java.lang.Object

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

Method Detail

previousDimension

public static int previousDimension(int filtretype,
                                    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".

evalScaling

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

evalWavelet

public static double[] evalWavelet(Filter filtre,
                                   int filtretype,
                                   int n0,
                                   int j1,
                                   int k)

evalWavelet

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

evalWaveletHaar

public static double[] evalWaveletHaar(Filter filtre,
                                       int n0,
                                       int j1,
                                       int k)

evalWaveletQuadratic

public static double[] evalWaveletQuadratic(Filter filtre,
                                            int n0,
                                            int j1,
                                            int k)

PowerOf2

public static int PowerOf2(int pwrOf2)

oversample

public static double[] oversample(double[] data)

method used to oversample according to the lazy (Dirac Delta Function) interpolation

doublesample

public static double[] doublesample(double[] data)

Method used to oversample according to the Haar transform

supersample

public static double[] supersample(double[] data)

Special oversampling for the linear spline interpolation

quadraticOversample

public static double[] quadraticOversample(double[] v)

Special oversampling for the quadratic spline interpolation

dimension

public static int dimension(int n0,
                            int jfin,
                            int filtertype)

Starting with n0 scaling functions and going jfin scales ahead (iterating jfin times), tells you how many scaling functions you'll have. (Dyadic multiresolutions of type filtretype.)

Parameters:

filtertype - filter type

n0 - number of scaling functions initially

jfin - number of iterations

dimension

public static int dimension(int n0,
                            int jfin)

Starting with n0 scaling functions and going jfin scales ahead (iterating jfin times), tells you how many scaling functions you'll have. (Linear spline and dyadic multiresolution of type 1.)

Parameters:

n0 - number of scaling functions initially

jfin - number of iterations

dimensionHaar

public static int dimensionHaar(int n0,
                                int jfin)

Starting with n0 scaling functions and going jfin scales ahead (iterating jfin times), tells you how many scaling functions you'll have. (Haar and dyadic multiresolution of type 0.)

Parameters:

n0 - number of scaling functions initially

jfin - number of iterations

evaluation

public static double[] evaluation(Filter filtre,
                                  int j1,
                                  double[] init)