Reen::SplineBasisfunction Class Reference

#include <ApproxSurface.h>

Public Types
enum	ValueT { Zero = 0 , Full , Other }

Public Member Functions
virtual double	BasisFunction (int iIndex, double fParam)=0
	Calculates the function value Nik(t) at the point fParam (from: Piegl/Tiller 96 The NURBS-Book) More...
virtual double	DerivativeOfBasisFunction (int iIndex, int k, double fParam)=0
	Calculates the kth derivative at the point fParam. More...
virtual void	DerivativesOfBasisFunction (int iIndex, int iMaxDer, double fParam, TColStd_Array1OfReal &Derivat)=0
	Calculates the function values of the first iMaxDer derivatives on the fParam position (from: Piegl/Tiller 96 The NURBS-Book) More...
virtual ValueT	LocalSupport (int iIndex, double fParam)=0
	Indicates whether the function value Nik(t) at the point fParam results in 0, 1 or a value in between. More...
virtual void	SetKnots (TColStd_Array1OfReal &vKnots, int iOrder=1)
	Sets the knot vector and the order. More...
virtual void	SetKnots (TColStd_Array1OfReal &vKnots, TColStd_Array1OfInteger &vMults, int iOrder=1)
	Sets the knot vector and the order. More...
	SplineBasisfunction (int iSize)
	Constructor. More...
	SplineBasisfunction (TColStd_Array1OfReal &vKnots, int iOrder=1)
	Constructor. More...
	SplineBasisfunction (TColStd_Array1OfReal &vKnots, TColStd_Array1OfInteger &vMults, int iSize, int iOrder=1)
	Constructor. More...
virtual	~SplineBasisfunction ()

Member Enumeration Documentation

ValueT

enum Reen::SplineBasisfunction::ValueT

Enumerator
Zero
Full
Other

Constructor & Destructor Documentation

SplineBasisfunction() [1/3]

SplineBasisfunction::SplineBasisfunction

(

int

iSize

)

Constructor.

Parameters

iSize

Length of Knots vector

SplineBasisfunction() [2/3]

SplineBasisfunction::SplineBasisfunction	(	TColStd_Array1OfReal &	vKnots,
		int	iOrder = 1
	)

Constructor.

Parameters

vKnots	Knot vector
iOrder	Order (degree + 1) of the basic polynomial

SplineBasisfunction() [3/3]

SplineBasisfunction::SplineBasisfunction	(	TColStd_Array1OfReal &	vKnots,
		TColStd_Array1OfInteger &	vMults,
		int	iSize,
		int	iOrder = 1
	)

Constructor.

Parameters

vKnots	Knot vector of shape (value)
vMults	Knot vector of shape (multiplicity)
iSize	Length of the knot vector The arrays vKnots and vMults have to be of the same size and the sum of the values in vMults has to be identical to iSize.
iOrder	Order (degree + 1) of the basic polynomial

~SplineBasisfunction()

SplineBasisfunction::~SplineBasisfunction ( )

virtual

Member Function Documentation

BasisFunction()

virtual double Reen::SplineBasisfunction::BasisFunction ( int  iIndex, double  fParam  )

pure virtual

Calculates the function value Nik(t) at the point fParam (from: Piegl/Tiller 96 The NURBS-Book)

Parameters

iIndex	Index
fParam	Parameter value

Returns

Function value Nik(t)

Implemented in Reen::BSplineBasis.

DerivativeOfBasisFunction()

virtual double Reen::SplineBasisfunction::DerivativeOfBasisFunction ( int  iIndex, int  k, double  fParam  )

pure virtual

Calculates the kth derivative at the point fParam.

Implemented in Reen::BSplineBasis.

DerivativesOfBasisFunction()

virtual void Reen::SplineBasisfunction::DerivativesOfBasisFunction ( int  iIndex, int  iMaxDer, double  fParam, TColStd_Array1OfReal &  Derivat  )

pure virtual

Calculates the function values of the first iMaxDer derivatives on the fParam position (from: Piegl/Tiller 96 The NURBS-Book)

Parameters

iIndex	Index
iMaxDer	max. derivative
fParam	Parameter value.

Returns

Derivative list of function values

The list must be sufficiently long for iMaxDer+1 elements.

Implemented in Reen::BSplineBasis.

LocalSupport()

virtual ValueT Reen::SplineBasisfunction::LocalSupport ( int  iIndex, double  fParam  )

pure virtual

Indicates whether the function value Nik(t) at the point fParam results in 0, 1 or a value in between.

This serves to speed up the calculation under certain circumstances.

Parameters

iIndex	Index
fParam	Parameter value

Returns

ValueT

Implemented in Reen::BSplineBasis.

SetKnots() [1/2]

void SplineBasisfunction::SetKnots ( TColStd_Array1OfReal &  vKnots, int  iOrder = 1  )

virtual

Sets the knot vector and the order.

The size of the knot vector has to be exactly as large as defined in the constructor.

SetKnots() [2/2]

void SplineBasisfunction::SetKnots ( TColStd_Array1OfReal &  vKnots, TColStd_Array1OfInteger &  vMults, int  iOrder = 1  )

virtual

Sets the knot vector and the order.

The knot vector in the form of (Value, Multiplicity) is passed on. Internally, this is converted into a knot vector in the form of (value, 1). The size of this new vector has to be exactly as big as specified in the constructor.

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

• FreeCAD/src/Mod/ReverseEngineering/App/ApproxSurface.h
• FreeCAD/src/Mod/ReverseEngineering/App/ApproxSurface.cpp