This class implements a NURBS-function with a one dimensional parameter space (A NURBS line). More...

#include <MathAlgo/Nurbs/Nurbs1D.hh>

Inheritance diagram for BIAS::Nurbs1D< ControlPointsT >:

Collaboration diagram for BIAS::Nurbs1D< ControlPointsT >:

Public Member Functions
void	Eval (const double &nurbsParam, ControlPointsT &result) const
	Evaluate the NURBS function at a given point in the parameter space. More...

const void	EvalBaseFunc (const int x, const double &nurbsParam, double &result) const
	Evaluate the base function for the control point (x,y,z) for the point nurbsParam. More...

void	EvalBaseFunc (const int x, const int y, const double &nurbsParam, double &result, double *baseFuncCache) const
	Evaluate the base function for the control point (x,y,z) for the point nurbsParam using a dedicated cache for the serial evaluation. More...

ControlPointsT	GetCtrlPoint (int &index) const
	Get the value of a specific control point. More...

int	GetDegree () const
	Returns the degree of the NURBS. More...

double	GetKnot (int dim, int index) const
	Returns the position of a knot with a given index of a given dimension. More...

double	GetKnot (int index) const
	Returns the position of a knot with a given index. More...

int	GetNumCtrlPts () const
	Returns the number of control points per dimension. More...

int	GetNumKnots () const
	Returns the number of knots of the NURBS. More...

void	GetRelevantBaseCtrlPoints (const double &nurbsParam, int &begin, int &end) const
	for a given point in the parameter space, this functions yields for each dimension the first and the last control point index influencing the value at this position. More...

	Nurbs1D (int knotsPerDim=4, int degree=2)
	Standard Constructor. More...

void	SetCtrlPoint (const int &index, const ControlPointsT &value)
	Set the value of a specific control point. More...

void	SetKnot (int dim, int index, double value)
	Set the position of a knot with a given index and of a given dimension. More...

void	SetKnot (int index, double value)
	Set the position of a knot with a given index. More...

Protected Member Functions
double	BaseFunc (const int &dim, const int &knot, const int &degree, const double &u) const
	This is a serial implementation of the recursive nurbs evaluation. More...

double	BaseFunc (const int &dim, const int &knot, const int &degree, const double &u, double *&cachePointer) const
	This is a serial implementation of the recursive nurbs evaluation. More...

Protected Attributes
int	baseOps_

ControlPointsT *	controlPoints_
	The array of control points. More...

int	degree_
	Degree of the b-splines. More...

int	knotsPerDim_
	Number of knots in each dimension. More...

std::vector< std::vector < double > >	knotVector_
	The vector of knot vectors (One for each dimension) More...

int	numCtrlPoints_
	The number of control points per dimension. More...

double *	weights_
	The corresponding weights to the function points. More...

Detailed Description

template<class ControlPointsT>
class BIAS::Nurbs1D< ControlPointsT >

This class implements a NURBS-function with a one dimensional parameter space (A NURBS line).

The dimension of the output values is defined by the template type of control points

Author: jordt

Definition at line 24 of file Nurbs1D.hh.

Constructor & Destructor Documentation

template<class ControlPointsT >

Nurbs1D::Nurbs1D	(	int	knotsPerDim = `4`,
		int	degree = `2`
	)

Standard Constructor.

Parameters

knotsPerDim	The number of knots in the knot vector (without the dublications)
degree	The degree of the b-splines

Definition at line 25 of file Nurbs1D.cpp.

References BIAS::Nurbs1D< ControlPointsT >::controlPoints_, TemplateInit::Init(), BIAS::NurbsBase::numCtrlPoints_, and BIAS::Nurbs1D< ControlPointsT >::weights_.

Member Function Documentation

double BIAS::NurbsBase::BaseFunc	(	const int &	dim,
		const int &	knot,
		const int &	degree,
		const double &	u
	)		const

inlineprotectedinherited

This is a serial implementation of the recursive nurbs evaluation.

Recursive function values are stored in the evaluation cache (evalCache_)

Parameters

dim	The dimension (determines which knot vector is used)
knot	The index of the knot in the knot vector
degree	The current degree the function is evaluated in
u	The parmeter for which the base function is evaluated

Definition at line 108 of file NurbsBase.hh.

References BIAS::NurbsBase::knotVector_.

Referenced by BIAS::Nurbs1D< ControlPointsT >::EvalBaseFunc(), BIAS::Nurbs2D< ControlPointsT >::EvalBaseFunc(), and BIAS::Nurbs3D< ControlPointsT >::EvalBaseFunc().

double BIAS::NurbsBase::BaseFunc	(	const int &	dim,
		const int &	knot,
		const int &	degree,
		const double &	u,
		double *&	cachePointer
	)		const

inlineprotectedinherited

This is a serial implementation of the recursive nurbs evaluation.

Recursive function values are stored in the evaluation cache (evalCache_) In this function, the cache pointer has to be provided in order to save the memory allocation time.

Parameters

dim	The dimension (determines which knot vector is used)
knot	The index of the knot in the knot vector
degree	The current degree the function is evaluated in
u	The parmeter for which the base function is evaluated
cachePointer	The pointer to a cache, this function is allowed to use (already allocated). The size should be degree+1

Definition at line 152 of file NurbsBase.hh.

References BIAS::NurbsBase::knotVector_.

template<class ControlPointsT >

void Nurbs1D::Eval	(	const double &	nurbsParam,
		ControlPointsT &	result
	)		const

Evaluate the NURBS function at a given point in the parameter space.

Parameters

nurbsParam	Point in the parameter space ( [0] - [1] )
result	The return value

Definition at line 41 of file Nurbs1D.cpp.

References TemplateInit::Init().

template<class ControlPointsT >

const void BIAS::Nurbs1D< ControlPointsT >::EvalBaseFunc	(	const int	x,
		const double &	nurbsParam,
		double &	result
	)		const

inline

Evaluate the base function for the control point (x,y,z) for the point nurbsParam.

Definition at line 70 of file Nurbs1D.hh.

References BIAS::NurbsBase::BaseFunc(), and BIAS::NurbsBase::degree_.

template<class ControlPointsT >

void BIAS::Nurbs1D< ControlPointsT >::EvalBaseFunc	(	const int	x,
		const int	y,
		const double &	nurbsParam,
		double &	result,
		double *	baseFuncCache
	)		const

inline

Evaluate the base function for the control point (x,y,z) for the point nurbsParam using a dedicated cache for the serial evaluation.

Definition at line 76 of file Nurbs1D.hh.

References BIAS::NurbsBase::BaseFunc(), and BIAS::NurbsBase::degree_.

template<class ControlPointsT >

ControlPointsT BIAS::Nurbs1D< ControlPointsT >::GetCtrlPoint ( int & index ) const

inline

Get the value of a specific control point.

No out of bounds checks are performed in release builds

Parameters

index The index of the control point

Definition at line 63 of file Nurbs1D.hh.

References BIAS::Nurbs1D< ControlPointsT >::controlPoints_, and BIAS::NurbsBase::numCtrlPoints_.

int NurbsBase::GetDegree ( ) const

inherited

Returns the degree of the NURBS.

Definition at line 61 of file NurbsBase.cpp.

double NurbsBase::GetKnot	(	int	dim,
		int	index
	)		const

inherited

Returns the position of a knot with a given index of a given dimension.

Definition at line 69 of file NurbsBase.cpp.

template<class ControlPointsT >

double Nurbs1D::GetKnot ( int index ) const

Returns the position of a knot with a given index.

Definition at line 71 of file Nurbs1D.cpp.

int NurbsBase::GetNumCtrlPts ( ) const

inherited

Returns the number of control points per dimension.

Definition at line 65 of file NurbsBase.cpp.

int NurbsBase::GetNumKnots ( ) const

inherited

Returns the number of knots of the NURBS.

Definition at line 57 of file NurbsBase.cpp.

template<class ControlPointsT >

void BIAS::Nurbs1D< ControlPointsT >::GetRelevantBaseCtrlPoints	(	const double &	nurbsParam,
		int &	begin,
		int &	end
	)		const

inline

for a given point in the parameter space, this functions yields for each dimension the first and the last control point index influencing the value at this position.

Parameters

nurbsParam	The point in the parameter space to perform the test in
begin	The first control point (index)
end	The last control points (index)

Definition at line 85 of file Nurbs1D.hh.

References BIAS::NurbsBase::degree_, BIAS::NurbsBase::knotVector_, and BIAS::NurbsBase::numCtrlPoints_.

template<class ControlPointsT >

void BIAS::Nurbs1D< ControlPointsT >::SetCtrlPoint	(	const int &	index,
		const ControlPointsT &	value
	)

inline

Set the value of a specific control point.

No out of bounds checks are performed in release builds

Parameters

index	The index of the control point
value	The value that is assigned to the control point

Definition at line 54 of file Nurbs1D.hh.

References BIAS::Nurbs1D< ControlPointsT >::controlPoints_, and BIAS::NurbsBase::numCtrlPoints_.

void NurbsBase::SetKnot	(	int	dim,
		int	index,
		double	value
	)

inherited

Set the position of a knot with a given index and of a given dimension.

Definition at line 75 of file NurbsBase.cpp.

template<class ControlPointsT >

void Nurbs1D::SetKnot	(	int	index,
		double	value
	)

Set the position of a knot with a given index.

Definition at line 77 of file Nurbs1D.cpp.

Member Data Documentation

int BIAS::NurbsBase::baseOps_

protectedinherited

Definition at line 78 of file NurbsBase.hh.

template<class ControlPointsT >

ControlPointsT* BIAS::Nurbs1D< ControlPointsT >::controlPoints_

protected

The array of control points.

Definition at line 41 of file Nurbs1D.hh.

Referenced by BIAS::Nurbs1D< ControlPointsT >::GetCtrlPoint(), BIAS::Nurbs1D< ControlPointsT >::Nurbs1D(), and BIAS::Nurbs1D< ControlPointsT >::SetCtrlPoint().

int BIAS::NurbsBase::degree_

protectedinherited

Degree of the b-splines.

Definition at line 68 of file NurbsBase.hh.

Referenced by BIAS::Nurbs1D< ControlPointsT >::EvalBaseFunc(), BIAS::Nurbs2D< ControlPointsT >::EvalBaseFunc(), BIAS::Nurbs3D< ControlPointsT >::EvalBaseFunc(), BIAS::Nurbs1D< ControlPointsT >::GetRelevantBaseCtrlPoints(), BIAS::Nurbs2D< ControlPointsT >::GetRelevantBaseCtrlPoints(), and BIAS::Nurbs3D< ControlPointsT >::GetRelevantBaseCtrlPoints().

int BIAS::NurbsBase::knotsPerDim_

protectedinherited

Number of knots in each dimension.

Definition at line 65 of file NurbsBase.hh.

std::vector<std::vector<double> > BIAS::NurbsBase::knotVector_

protectedinherited

The vector of knot vectors (One for each dimension)

Definition at line 62 of file NurbsBase.hh.

Referenced by BIAS::NurbsBase::BaseFunc(), BIAS::Nurbs1D< ControlPointsT >::GetRelevantBaseCtrlPoints(), BIAS::Nurbs2D< ControlPointsT >::GetRelevantBaseCtrlPoints(), and BIAS::Nurbs3D< ControlPointsT >::GetRelevantBaseCtrlPoints().

int BIAS::NurbsBase::numCtrlPoints_

protectedinherited

The number of control points per dimension.

Definition at line 71 of file NurbsBase.hh.

Referenced by BIAS::Nurbs1D< ControlPointsT >::GetCtrlPoint(), BIAS::Nurbs2D< ControlPointsT >::GetCtrlPoint(), BIAS::Nurbs3D< ControlPointsT >::GetCtrlPoint(), BIAS::Nurbs1D< ControlPointsT >::GetRelevantBaseCtrlPoints(), BIAS::Nurbs2D< ControlPointsT >::GetRelevantBaseCtrlPoints(), BIAS::Nurbs3D< ControlPointsT >::GetRelevantBaseCtrlPoints(), BIAS::Nurbs1D< ControlPointsT >::Nurbs1D(), BIAS::Nurbs2D< ControlPointsT >::Nurbs2D(), BIAS::Nurbs3D< ControlPointsT >::Nurbs3D(), BIAS::Nurbs1D< ControlPointsT >::SetCtrlPoint(), BIAS::Nurbs2D< ControlPointsT >::SetCtrlPoint(), and BIAS::Nurbs3D< ControlPointsT >::SetCtrlPoint().

template<class ControlPointsT >

double* BIAS::Nurbs1D< ControlPointsT >::weights_

protected

The corresponding weights to the function points.

Definition at line 44 of file Nurbs1D.hh.

Referenced by BIAS::Nurbs1D< ControlPointsT >::Nurbs1D().

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

MathAlgo/Nurbs/Nurbs1D.hh
MathAlgo/Nurbs/Nurbs1D.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<class ControlPointsT> class BIAS::Nurbs1D< ControlPointsT >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class ControlPointsT>
class BIAS::Nurbs1D< ControlPointsT >