hex.gam.GamSplines

Class NBSplinesTypeIDerivative

java.lang.Object

hex.gam.GamSplines.NBSplinesTypeIDerivative

public class NBSplinesTypeIDerivative
extends java.lang.Object

Field Summary

Fields

Modifier and Type	Field and Description
double[][]	_coeffs

Constructor Summary

Constructors

Constructor and Description
NBSplinesTypeIDerivative(int basisIndex, int order, double[] fullKnots)

Method Summary

Modifier and Type	Method and Description
static double[][]	derivativeCoeffs(double[][] origCoeffs)
static double[][]	extractDerivativeCoeff(hex.genmodel.algos.gam.NBSplinesTypeI left, hex.genmodel.algos.gam.NBSplinesTypeI rite, double[] knots, int basisIndex, double parentConst) This function extracts the coefficients for the derivative of a NBSplineTypeI (Mi,k(t)) as described in Section VI of doc.
static NBSplinesTypeIDerivative[]	form1stOrderDerivatives(int numBasis, int order, double[] fullKnots) Method to generate an array of derivatives of NBSplineTypeI.
static double[][][]	form2ndDerivCoeffs(int numBasis, int order, double[] fullKnots)
static double[][]	formDerivateProduct(double[][] firstCoeff, double[][] secondCoeff) Form product of derivative basis function for index firstIndex, secondIndex like M'i,k(t)*M'j,k(t).
static double[][]	genISPenaltyMatrix(double[] knots, int order) Generate penalty matrix for I-spline as described in Section VI of doc.
static double[][]	genMSPenaltyMatrix(double[] knots, int order) Generate penalty matrix for M-spline as described in Section III of doc 2.

Methods inherited from class java.lang.Object

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

Field Detail

_coeffs

public double[][] _coeffs

Constructor Detail

NBSplinesTypeIDerivative

public NBSplinesTypeIDerivative(int basisIndex,
                                int order,
                                double[] fullKnots)

Method Detail

extractDerivativeCoeff

public static double[][] extractDerivativeCoeff(hex.genmodel.algos.gam.NBSplinesTypeI left,
                                                hex.genmodel.algos.gam.NBSplinesTypeI rite,
                                                double[] knots,
                                                int basisIndex,
                                                double parentConst)

This function extracts the coefficients for the derivative of a NBSplineTypeI (Mi,k(t)) as described in Section VI of doc.

genISPenaltyMatrix

public static double[][] genISPenaltyMatrix(double[] knots,
                                            int order)

Generate penalty matrix for I-spline as described in Section VI of doc.

Parameters:

knots - : containing all knots without duplication

order - : order of original I-splines

Returns:

double[][] array of size number of basis function by number of total numbers

genMSPenaltyMatrix

public static double[][] genMSPenaltyMatrix(double[] knots,
                                            int order)

Generate penalty matrix for M-spline as described in Section III of doc 2.

Parameters:

knots - : containing all knots without duplication

order - : order of original I-splines

Returns:

double[][] array of size number of basis function by number of total numbers

form2ndDerivCoeffs

public static double[][][] form2ndDerivCoeffs(int numBasis,
                                              int order,
                                              double[] fullKnots)

derivativeCoeffs

public static double[][] derivativeCoeffs(double[][] origCoeffs)

form1stOrderDerivatives

public static NBSplinesTypeIDerivative[] form1stOrderDerivatives(int numBasis,
                                                                 int order,
                                                                 double[] fullKnots)

Method to generate an array of derivatives of NBSplineTypeI. See Section VI.I of doc.

Parameters:

numBasis: - integer representing number of basis functions for knot sequence

order: - order of NBSplineTypeI to generate

fullKnots: - complete knot sequence with duplicate knots at both ends

formDerivateProduct

public static double[][] formDerivateProduct(double[][] firstCoeff,
                                             double[][] secondCoeff)

Form product of derivative basis function for index firstIndex, secondIndex like M'i,k(t)*M'j,k(t). See Section VI.I of doc.