vtkExponentialFunctions Class Reference

#include <vtkExponentialFunctions.h>

Inheritance diagram for vtkExponentialFunctions:

[legend]Collaboration diagram for vtkExponentialFunctions:

[legend]List of all members.

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Detailed Description

provides mutiple static exponential functions and their Jacobians.

vtkExponentialFunctions provides methods to perform fittings of various exponential functions using Non-linear least squares Levenberg-Marquardt.

Definition at line 55 of file vtkExponentialFunctions.h.

Public Member Functions
	vtkTypeRevisionMacro (vtkExponentialFunctions, vtkObject)
Static Public Member Functions
static vtkExponentialFunctions *	New ()
static void	exponential (double *p, double *x, int m, int n, void *data)
static void	exponentialWithConstant (double *p, double *x, int m, int n, void *data)
static void	jacexponential (double *p, double *jac, int m, int n, void *data)
static void	oneminusexponential (double *p, double *x, int m, int n, void *data)
static void	jaconeminusexponential (double *p, double *jac, int m, int n, void *data)
static double	sinc (double x)
static void	exponentialSincMod (double *p, double *x, int m, int n, void *data)
static void	exponentialSincModWithConstant (double *p, double *x, int m, int n, void *data)
static void	jacexponentialSincMod (double *p, double *jac, int m, int n, void *data)
static void	exponentialSincModThreeParam (double *p, double *x, int m, int n, void *data)
static void	exponentialSincModThreeParamWithConstant (double *p, double *x, int m, int n, void *data)
static void	jacexponentialSincModThreeParam (double *p, double *jac, int m, int n, void *data)
static void	CalculateParameterApproximates (double *x, double *y, unsigned int num, double &A, double &B)
static void	CalculateParameterApproximatesWithConstant (double *x, double *y, unsigned int num, double &A, double &B, double &C)
Protected Member Functions
	vtkExponentialFunctions ()
	~vtkExponentialFunctions ()

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Constructor & Destructor Documentation

vtkExponentialFunctions::vtkExponentialFunctions

(

)

[inline, protected]

Definition at line 274 of file vtkExponentialFunctions.h.

vtkExponentialFunctions::~vtkExponentialFunctions

(

)

[inline, protected]

Definition at line 275 of file vtkExponentialFunctions.h.

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Member Function Documentation

static vtkExponentialFunctions* vtkExponentialFunctions::New

(

)

[static]

Reimplemented from vtkObject.

vtkExponentialFunctions::vtkTypeRevisionMacro	(	vtkExponentialFunctions	,
		vtkObject
	)

static void vtkExponentialFunctions::exponential	(	double *	p,
		double *	x,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The function below is used for fitting 'x=p[0]*e^-(data*p[1])' using Levenberg-Marquardt non-linear least squares algorithms. The # of elements in data must match 'n'.

Definition at line 66 of file vtkExponentialFunctions.h.

References EXP.

static void vtkExponentialFunctions::exponentialWithConstant	(	double *	p,
		double *	x,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The function below is used for fitting 'x=p[0]*e^-(data*p[1]) + p[3]' using Levenberg-Marquardt non-linear least squares algorithms. The # of elements in data must match 'n'.

Definition at line 82 of file vtkExponentialFunctions.h.

References EXP.

static void vtkExponentialFunctions::jacexponential	(	double *	p,
		double *	jac,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The Jacobian of the above two functions. 'jac=-p[1]*p[0]*e^-(data*p[1])' The # of elements in data must match 'n'.

Definition at line 97 of file vtkExponentialFunctions.h.

References EXP.

static void vtkExponentialFunctions::oneminusexponential	(	double *	p,
		double *	x,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The function below is used for fitting 'x=p[0]*(1-e^-(data*p[1]))' using Levenberg-Marquardt non-linear least squares algorithms. The # of elements in data must match 'n'.

Definition at line 113 of file vtkExponentialFunctions.h.

References EXP.

static void vtkExponentialFunctions::jaconeminusexponential	(	double *	p,
		double *	jac,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The Jacobian of the above function. 'jac=p[1]*p[0]*e^-(data*p[1])' The # of elements in data must match 'n'.

Definition at line 128 of file vtkExponentialFunctions.h.

References EXP.

static double vtkExponentialFunctions::sinc

(

double

x

)

[inline, static]

Standard sinc function.

Definition at line 141 of file vtkExponentialFunctions.h.

References SIN.

Referenced by exponentialSincMod(), exponentialSincModThreeParam(), exponentialSincModThreeParamWithConstant(), exponentialSincModWithConstant(), jacexponentialSincMod(), and jacexponentialSincModThreeParam().

static void vtkExponentialFunctions::exponentialSincMod	(	double *	p,
		double *	x,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The function below is used for fitting 'x=p[0]*|sinc(data[0]*data)|*e^-(p[1]*data)' using Levenberg-Marquardt non-linear least squares algorithms. data[0] = (gamma/2)*deltaB data[1-(n+1)] = time points The # of elements in data must match 'n+1'.

Definition at line 153 of file vtkExponentialFunctions.h.

References EXP, and sinc().

static void vtkExponentialFunctions::exponentialSincModWithConstant	(	double *	p,
		double *	x,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The function below is used for fitting 'x=p[0]*|sinc(data[0]*data)|*e^-(p[1]*data) + p[2]' using Levenberg-Marquardt non-linear least squares algorithms. data[0] = (gamma/2)*deltaB data[1-(n+1)] = time points The # of elements in data must match 'n+1'.

Definition at line 171 of file vtkExponentialFunctions.h.

References EXP, and sinc().

static void vtkExponentialFunctions::jacexponentialSincMod	(	double *	p,
		double *	jac,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The Jacobian of the above two functions. The # of elements in data must match 'n+1'.

Definition at line 187 of file vtkExponentialFunctions.h.

References COS, EXP, SIGN, and sinc().

static void vtkExponentialFunctions::exponentialSincModThreeParam	(	double *	p,
		double *	x,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The function below is used for fitting 'x=p[0]*|sinc(p[2]*data)|*e^-(p[1]*data)' using Levenberg-Marquardt non-linear least squares algorithms. data[0] = (gamma/2) data[1-(n+1)] = time points The # of elements in data must match 'n+1'.

Definition at line 209 of file vtkExponentialFunctions.h.

References EXP, and sinc().

static void vtkExponentialFunctions::exponentialSincModThreeParamWithConstant	(	double *	p,
		double *	x,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The function below is used for fitting 'x=data[0]*p[0]*|sinc(p[2]*data)|*e^-(p[1]*data) + p[3]' using Levenberg-Marquardt non-linear least squares algorithms. data[0] = (gamma/2) data[1-(n+1)] = time points The # of elements in data must match 'n+1'.

Definition at line 227 of file vtkExponentialFunctions.h.

References EXP, and sinc().

static void vtkExponentialFunctions::jacexponentialSincModThreeParam	(	double *	p,
		double *	jac,
		int	m,
		int	n,
		void *	data
	)			[inline, static]

The Jacobian of the above two functions. The # of elements in data must match 'n+1'.

Definition at line 243 of file vtkExponentialFunctions.h.

References COS, EXP, SIGN, and sinc().

static void vtkExponentialFunctions::CalculateParameterApproximates	(	double *	x,
		double *	y,
		unsigned int	num,
		double &	A,
		double &	B
	)			[static]

Calculate parameter approximates for the function 'y=A*e^-(B*x)'.

static void vtkExponentialFunctions::CalculateParameterApproximatesWithConstant	(	double *	x,
		double *	y,
		unsigned int	num,
		double &	A,
		double &	B,
		double &	C
	)			[static]

Calculate parameter approximates for the function 'y=A*e^-(B*x) + C'.

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

• dox/Common/vtkExponentialFunctions.h

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