Spline Class Reference

#include <Spline.h>

Public Member Functions
	Spline (const Matrix< double > &X, const Matrix< double > &Y)
	Spline (const Matrix< double > &X, const Matrix< double > &Y, const Matrix< double > &Z)
double	eval_spline_j (double x_act, size_t j, const Matrix< double > &mi)
Matrix< double >	curv (double h)
void	SetAbstractionValue (const Matrix< double > &tx, const Matrix< double > &ty)
Matrix< double >	operator() (const Matrix< double > &xi)
Matrix< double >	calculateEquidistant (const Matrix< double > &xi)

Private Attributes
Matrix< double >	XI
	x-axis support values More...
Matrix< double >	YI
	y-axis support values More...
Matrix< double >	ZI
	z-axis support values More...
Matrix< double >	Tx
	t-Values for x More...
Matrix< double >	Ty
	t-Values for y More...
bool	isEquidistant = true
	flag to signalize that support values do not lie equidistant to each other More...

Detailed Description

Spline implementation.

Capable of 1D Natural-Cubic-Splines as well as 2/3D Interpolation using approximations.

Constructor & Destructor Documentation

Spline() [1/2]

Spline::Spline ( const Matrix< double > &  X, const Matrix< double > &  Y  )

inline

Default constructor

Parameters

X	x-axis support values
Y	y-axis support values

Spline() [2/2]

Spline::Spline ( const Matrix< double > &  X, const Matrix< double > &  Y, const Matrix< double > &  Z  )

inline

3D approximation using a b=2 b-spline

Parameters

X	x-axis evaluation values
Y	y-axis evaluation values
Z	z-axis evaluation values

Member Function Documentation

calculateEquidistant()

Matrix< double > Spline::calculateEquidistant ( const Matrix< double > &  xi )

inline

Calculates natural cubic spline for given input xi

Parameters

xi	input values

Returns

curv()

Matrix< double > Spline::curv ( double  h )

inline

Calculates second derivative on given knot-points

Parameters

h	distance between points

Returns

eval_spline_j()

double Spline::eval_spline_j ( double  x_act, size_t  j, const Matrix< double > &  mi  )

inline

Evaluation of cubic polynomial s_j

Returns

operator()()

Matrix< double > Spline::operator() ( const Matrix< double > &  xi )

inline

Evaluates the spline for given values

Parameters

xi	input values

Returns

evaluated input

SetAbstractionValue()

void Spline::SetAbstractionValue ( const Matrix< double > &  tx, const Matrix< double > &  ty  )

inline

Setter for abstraction values t

Parameters

tx	x-axis
ty	y-axis

Member Data Documentation

isEquidistant

bool Spline::isEquidistant = true

private

flag to signalize that support values do not lie equidistant to each other

Tx

Matrix<double> Spline::Tx

private

t-Values for x

Ty

Matrix<double> Spline::Ty

private

t-Values for y

XI

Matrix<double> Spline::XI

private

x-axis support values

YI

Matrix<double> Spline::YI

private

y-axis support values

ZI

Matrix<double> Spline::ZI

private

z-axis support values

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The documentation for this class was generated from the following file:

• include/math/numerics/analysis/Spline.h