A B-spline. More...

#include <WBSpline.h>

Collaboration diagram for WBSpline:

Public Member Functions
	WBSpline (int order, std::vector< WVector3d > deBoorPoints)
	Constructor for the spline that takes the order and de Boor points while constructing a normalized knotVector automatically. More...

	WBSpline (int order, std::vector< WVector3d > deBoorPoints, std::vector< double > knots)
	Constructor for the spline that takes the order de Boor points and knots as arguments. More...

	~WBSpline ()
	Empty destructor. More...

std::vector< WVector3d >	getDeBoorPoints ()
	Returns the stored de Boor points. More...

std::vector< double >	getKnots ()
	Returns the stored knots. More...

int	getOrder ()
	Returns the order of the spline. More...

void	setDeBoorPoints (std::vector< WVector3d > deBoorPoints)
	Sets new de Boor points for the spline. More...

void	setKnots (std::vector< double > knots)
	Sets new knots for the spline. More...

void	setOrder (int order)
	Sets a new order for the spline. More...

void	samplePoints (std::vector< WVector3d > *p, double resolution)
	Compute sample points on the spline for a given resolution. More...

WVector3d	f (double t)
	Compute a single sample point on the spline for the given parameter. More...

Private Member Functions
double	getAlpha_i_j (int _i, int _j)
	Compute the alpha of the de Boor algorithm for the given parameters. More...

WVector3d	controlPoint_i_j (int _i, int _j)
	Compute a control point of the de Boor algorithm for the given parameters. More...

Private Attributes
int	m_order
	The order of the spline. More...

std::vector< WVector3d >	m_deBoorPoints
	The de Boor points of the spline. More...

std::vector< double >	m_knots
	The knots of the spline. More...

double	m_t
	The parameter value of the last spline evaluation i.e. the last call to f(). More...

Detailed Description

A B-spline.

Author: Patrick Oesterling

Definition at line 36 of file WBSpline.h.

Constructor & Destructor Documentation

◆ WBSpline() [1/2]

WBSpline::WBSpline	(	int	order,
		std::vector< WVector3d >	deBoorPoints
	)

Constructor for the spline that takes the order and de Boor points while constructing a normalized knotVector automatically.

Parameters

order	Order of the spline.
deBoorPoints	The de Boor points for the spline

Definition at line 29 of file WBSpline.cpp.

References m_deBoorPoints, m_knots, and m_order.

◆ WBSpline() [2/2]

WBSpline::WBSpline	(	int	order,
		std::vector< WVector3d >	deBoorPoints,
		std::vector< double >	knots
	)

Constructor for the spline that takes the order de Boor points and knots as arguments.

Parameters

order	Order of the spline.
deBoorPoints	The de Boor points for the spline
knots	The knots for the spline

Definition at line 56 of file WBSpline.cpp.

References m_deBoorPoints, m_knots, and m_order.

◆ ~WBSpline()

WBSpline::~WBSpline ( )

Empty destructor.

Definition at line 63 of file WBSpline.cpp.

Member Function Documentation

◆ controlPoint_i_j()

WVector3d WBSpline::controlPoint_i_j	(	int	_i,
		int	_j
	)

private

Compute a control point of the de Boor algorithm for the given parameters.

Parameters

_i	First recursion parameter.
_j	Second recursion parameter.

Returns: De Boor control point at (_i,_j).

Definition at line 162 of file WBSpline.cpp.

References getAlpha_i_j(), and m_deBoorPoints.

Referenced by f().

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◆ f()

WVector3d WBSpline::f ( double t )

Compute a single sample point on the spline for the given parameter.

Parameters

t	parameter on spline curve.

Returns: Sample point on the curve at t.

Definition at line 67 of file WBSpline.cpp.

References controlPoint_i_j(), m_knots, m_order, and m_t.

Referenced by WBSplineSurface::f(), and samplePoints().

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◆ getAlpha_i_j()

double WBSpline::getAlpha_i_j	(	int	_i,
		int	_j
	)

private

Compute the alpha of the de Boor algorithm for the given parameters.

Parameters

_i	First recursion parameter.
_j	Second recursion parameter.

Returns: De Boor alpha for (_i,_j)

Definition at line 156 of file WBSpline.cpp.

References m_knots, m_order, and m_t.

Referenced by controlPoint_i_j().

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◆ getDeBoorPoints()

std::vector< WVector3d > WBSpline::getDeBoorPoints ( )

Returns the stored de Boor points.

Returns: The stored de Boor points

Definition at line 111 of file WBSpline.cpp.

References m_deBoorPoints.

◆ getKnots()

std::vector< double > WBSpline::getKnots ( )

Returns the stored knots.

Returns: The stored knots

Definition at line 116 of file WBSpline.cpp.

References m_knots.

◆ getOrder()

int WBSpline::getOrder ( )

Returns the order of the spline.

Returns: The order of the spline

Definition at line 121 of file WBSpline.cpp.

References m_order.

◆ samplePoints()

void WBSpline::samplePoints	(	std::vector< WVector3d > *	p,
		double	resolution
	)

Compute sample points on the spline for a given resolution.

The sample points are stored in the vector given by the first argument.

Parameters

p	The pointer for returning the sample points.
resolution	The resolution of the sample points.

Definition at line 141 of file WBSpline.cpp.

References f(), and m_knots.

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◆ setDeBoorPoints()

void WBSpline::setDeBoorPoints ( std::vector< WVector3d > deBoorPoints )

Sets new de Boor points for the spline.

Parameters

deBoorPoints The new de Boor points for the spline.

Definition at line 126 of file WBSpline.cpp.

References m_deBoorPoints.

◆ setKnots()

void WBSpline::setKnots ( std::vector< double > knots )

Sets new knots for the spline.

Parameters

knots The new knots for the spline.

Definition at line 131 of file WBSpline.cpp.

References m_knots.

◆ setOrder()

void WBSpline::setOrder ( int order )

Sets a new order for the spline.

Parameters

order The new order of the spline.

Definition at line 136 of file WBSpline.cpp.

References m_order.

Member Data Documentation

◆ m_deBoorPoints

std::vector< WVector3d > WBSpline::m_deBoorPoints

private

The de Boor points of the spline.

Definition at line 112 of file WBSpline.h.

Referenced by controlPoint_i_j(), getDeBoorPoints(), setDeBoorPoints(), and WBSpline().

◆ m_knots

std::vector<double> WBSpline::m_knots

private

The knots of the spline.

Definition at line 113 of file WBSpline.h.

Referenced by f(), getAlpha_i_j(), getKnots(), samplePoints(), setKnots(), and WBSpline().

◆ m_order

int WBSpline::m_order

private

The order of the spline.

Definition at line 111 of file WBSpline.h.

Referenced by f(), getAlpha_i_j(), getOrder(), setOrder(), and WBSpline().

◆ m_t

double WBSpline::m_t

private

The parameter value of the last spline evaluation i.e. the last call to f().

Definition at line 114 of file WBSpline.h.

Referenced by f(), and getAlpha_i_j().

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

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ WBSpline() [1/2]

◆ WBSpline() [2/2]

◆ ~WBSpline()

Member Function Documentation

◆ controlPoint_i_j()

◆ f()

◆ getAlpha_i_j()

◆ getDeBoorPoints()

◆ getKnots()

◆ getOrder()

◆ samplePoints()

◆ setDeBoorPoints()

◆ setKnots()

◆ setOrder()

Member Data Documentation

◆ m_deBoorPoints

◆ m_knots

◆ m_order

◆ m_t