edu.jhu.bme.smile.commons.math.specialFunctions
Class SphericalHarmonics

java.lang.Object
  edu.jhu.bme.smile.commons.math.specialFunctions.SphericalHarmonics

public class SphericalHarmonics
extends java.lang.Object

Field Summary

protected int[]	L
protected int[]	M
protected ComplexMatrix	matSHProj
protected ComplexMatrix	matSHRecon

Constructor Summary

SphericalHarmonics()

Method Summary

static double[][]	cart2sph(int SHorder, float[][] grads)
static void	createLM(int order, int[][] LM)
static SphericalHarmonics	evenOrderTransform(int order, double[] TH, double[] PH)
static SphericalHarmonics	evenOrderTransform(int SHorder, float[][] grads)
static Complex	getCoeff(int L, int M, double Theta, double Phi) % NOTE: It is very important to keep the various usages of THETA and PHI % straight.
static double	getFRTCoeff(int L, int M, double Theta, double Phi)
int	getL(int r)
int	getM(int r)
ComplexMatrix	getRecon()
ComplexVector	inverseTransform(double[] realData)
ComplexVector	inverseTransform(double[] realData, double[] imagData)
ComplexVector	inverseTransform(SphericalHarmonicRepresentation complexData)
ComplexMatrix	matSHProj()
static int	numberOfCoefficientsInEvenOrder(int order)
void	recordLM(int[][] LM)
java.lang.String	toString()
SphericalHarmonicRepresentation	transform(double[] realData)
SphericalHarmonicRepresentation	transform(double[] realData, double[] imagData)
SphericalHarmonicRepresentation	transform(SphericalHarmonicRepresentation complexData)

Methods inherited from class java.lang.Object

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

Field Detail

matSHRecon

protected ComplexMatrix matSHRecon

matSHProj

protected ComplexMatrix matSHProj

L

protected int[] L

M

protected int[] M

Constructor Detail

SphericalHarmonics

public SphericalHarmonics()

Method Detail

recordLM

public void recordLM(int[][] LM)

getL

public int getL(int r)

getM

public int getM(int r)

getRecon

public ComplexMatrix getRecon()

matSHProj

public ComplexMatrix matSHProj()

numberOfCoefficientsInEvenOrder

public static int numberOfCoefficientsInEvenOrder(int order)

createLM

public static void createLM(int order,
                            int[][] LM)

evenOrderTransform

public static SphericalHarmonics evenOrderTransform(int order,
                                                    double[] TH,
                                                    double[] PH)

transform

public SphericalHarmonicRepresentation transform(SphericalHarmonicRepresentation complexData)

transform

public SphericalHarmonicRepresentation transform(double[] realData)

transform

public SphericalHarmonicRepresentation transform(double[] realData,
                                                 double[] imagData)

inverseTransform

public ComplexVector inverseTransform(SphericalHarmonicRepresentation complexData)

inverseTransform

public ComplexVector inverseTransform(double[] realData)

inverseTransform

public ComplexVector inverseTransform(double[] realData,
                                      double[] imagData)

getCoeff

public static Complex getCoeff(int L,
                               int M,
                               double Theta,
                               double Phi)

% NOTE: It is very important to keep the various usages of THETA and PHI % straight. For this function THETA is the Azimuthal/Longitude/Circumferential % coordinate and is defined on the interval [0,2*pi], whereas PHI is the % Altitude/Latitude/Elevation and is defined on the interval [0,pi]. Also note that % the conversion to cartesian coordinates requires that PHI be offset by pi/2 so % that the conversion is on the interval [-pi/2,pi/2].

Parameters:

L - - Spherical harmonic degree, [1x1]

M - - Spherical harmonic order, [1x1]

Theta - - Circumferential coordinates

Phi - - Latitudinal coordinates

Returns:

getFRTCoeff

public static double getFRTCoeff(int L,
                                 int M,
                                 double Theta,
                                 double Phi)

evenOrderTransform

public static SphericalHarmonics evenOrderTransform(int SHorder,
                                                    float[][] grads)

cart2sph

public static double[][] cart2sph(int SHorder,
                                  float[][] grads)

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object