jsci.maths.wavelet

Class DiscreteHilbertSpace

java.lang.Object

jsci.maths.wavelet.DiscreteHilbertSpace

public final class DiscreteHilbertSpace
extends java.lang.Object

This class provides support for basic operations on MultiscaleFunction. Whenever it isn't specified we are working over the interval [0,1] Be careful when using integrate... Indeed, integrate(f,g) is not, in general, the same thing as integrate(g,f).

Field Summary

Fields

Modifier and Type	Field and Description
static int	maxiter Maximum number of allowed iterations in order to match objects.

Method Summary

Modifier and Type	Method and Description
static double[]	add(DiscreteFunction f, double a, DiscreteFunction g) Calculates f+a*g.
static AbstractDoubleVector	add(DiscreteFunction f, double a, SparseDiscreteFunction g) Calculates f+a*g.
static double[]	add(MultiscaleFunction f, double a, MultiscaleFunction g, int j1) Calculates f+a*g.
static AbstractDoubleVector	add(MultiscaleFunction g, double a, SparseDiscreteFunction f, int j1) Calculates f+a*g.
static AbstractDoubleVector	add(SparseDiscreteFunction f, double a, DiscreteFunction g) Calculates f+a*g.
static AbstractDoubleVector	add(SparseDiscreteFunction f, double a, MultiscaleFunction g, int j1) Calculates f+a*g.
static AbstractDoubleVector	add(SparseDiscreteFunction f, double a, SparseDiscreteFunction g) Calculates f+a*g.
static int[]	getScalingCoefficients(MultiscaleFunction f, MultiscaleFunction g, int j1) While this method is public (for transparency reasons) it should not be called by other classes unless absolutely necessary.
static double	integrate(Cosine f, DiscreteFunction g)
static double	integrate(Cosine f, SparseDiscreteFunction g)
static double	integrate(DiscreteFunction f, Cosine g)
static double	integrate(DiscreteFunction f, DiscreteFunction g)
static double	integrate(DiscreteFunction f, Sine g)
static double	integrate(DiscreteFunction f, SparseDiscreteFunction g)
static double	integrate(MultiscaleFunction f, MultiscaleFunction g, int j1)
static double	integrate(MultiscaleFunction f, MultiscaleFunction g, int j1, double a, double b)
static double	integrate(PiecewiseConstant f, MultiscaleFunction g, int j1)
static double	integrate(PiecewiseConstant f, MultiscaleFunction g, int j1, double a, double b)
static double	integrate(Sine f, DiscreteFunction g)
static double	integrate(Sine f, SparseDiscreteFunction g)
static double	integrate(SparseDiscreteFunction f, Cosine g)
static double	integrate(SparseDiscreteFunction f, DiscreteFunction g)
static double	integrate(SparseDiscreteFunction f, Sine g)
static double	integrate(SparseDiscreteFunction f, SparseDiscreteFunction g) This method could be optimized further
static double	integrate(SumOfDiracs f, double[] v)
static double	integrate(SumOfDiracs f, MultiscaleFunction g, int j1)
static double	integrate(SumOfDiracs f, MultiscaleFunction g, int j1, double a, double b)

Methods inherited from class java.lang.Object

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

Field Detail

maxiter

public static int maxiter

Maximum number of allowed iterations in order to match objects.

Method Detail

add

public static double[] add(MultiscaleFunction f,
                           double a,
                           MultiscaleFunction g,
                           int j1)

Calculates f+a*g. Careful before using this method since it uses a specific normalisation. Useful for matching pursuit purpose.

add

public static AbstractDoubleVector add(SparseDiscreteFunction f,
                                       double a,
                                       MultiscaleFunction g,
                                       int j1)

Calculates f+a*g. Careful before using this method since it uses a specific normalisation. Useful for matching pursuit purpose.

add

public static AbstractDoubleVector add(MultiscaleFunction g,
                                       double a,
                                       SparseDiscreteFunction f,
                                       int j1)

Calculates f+a*g. Careful before using this method since it uses a specific normalisation. Useful for matching pursuit purpose.

add

public static double[] add(DiscreteFunction f,
                           double a,
                           DiscreteFunction g)

Calculates f+a*g. Careful before using this method since it uses a specific normalisation. Useful for matching pursuit purpose.

add

public static AbstractDoubleVector add(SparseDiscreteFunction f,
                                       double a,
                                       SparseDiscreteFunction g)

Calculates f+a*g. Careful before using this method since it uses a specific normalisation. Useful for matching pursuit purpose.

add

public static AbstractDoubleVector add(DiscreteFunction f,
                                       double a,
                                       SparseDiscreteFunction g)

Calculates f+a*g. Careful before using this method since it uses a specific normalisation. Useful for matching pursuit purpose.

add

public static AbstractDoubleVector add(SparseDiscreteFunction f,
                                       double a,
                                       DiscreteFunction g)

Calculates f+a*g. Careful before using this method since it uses a specific normalisation. Useful for matching pursuit purpose.

integrate

public static double integrate(MultiscaleFunction f,
                               MultiscaleFunction g,
                               int j1,
                               double a,
                               double b)

integrate

public static double integrate(DiscreteFunction f,
                               DiscreteFunction g)

integrate

public static double integrate(SparseDiscreteFunction f,
                               DiscreteFunction g)

integrate

public static double integrate(DiscreteFunction f,
                               SparseDiscreteFunction g)

integrate

public static double integrate(SparseDiscreteFunction f,
                               SparseDiscreteFunction g)

This method could be optimized further

integrate

public static double integrate(Cosine f,
                               DiscreteFunction g)

integrate

public static double integrate(Sine f,
                               DiscreteFunction g)

integrate

public static double integrate(DiscreteFunction f,
                               Sine g)

integrate

public static double integrate(DiscreteFunction f,
                               Cosine g)

integrate

public static double integrate(Cosine f,
                               SparseDiscreteFunction g)

integrate

public static double integrate(Sine f,
                               SparseDiscreteFunction g)

integrate

public static double integrate(SparseDiscreteFunction f,
                               Sine g)

integrate

public static double integrate(SparseDiscreteFunction f,
                               Cosine g)

integrate

public static double integrate(MultiscaleFunction f,
                               MultiscaleFunction g,
                               int j1)

integrate

public static double integrate(PiecewiseConstant f,
                               MultiscaleFunction g,
                               int j1,
                               double a,
                               double b)

integrate

public static double integrate(PiecewiseConstant f,
                               MultiscaleFunction g,
                               int j1)

integrate

public static double integrate(SumOfDiracs f,
                               MultiscaleFunction g,
                               int j1,
                               double a,
                               double b)

integrate

public static double integrate(SumOfDiracs f,
                               MultiscaleFunction g,
                               int j1)

integrate

public static double integrate(SumOfDiracs f,
                               double[] v)

getScalingCoefficients

public static int[] getScalingCoefficients(MultiscaleFunction f,
                                           MultiscaleFunction g,
                                           int j1)

While this method is public (for transparency reasons) it should not be called by other classes unless absolutely necessary.