Convert a serie of Polynomial N-Dimensional Curves that are have continuity CM to an N-Dimensional Bspline Curve that has continuity CM. (to convert an function (curve) polynomial by span in a BSpline) This class uses the following arguments : NumCurves : the number of Polynomial Curves Continuity: the requested continuity for the n-dimensional Spline Dimension : the dimension of the Spline MaxDegree : maximum allowed degree for each composite polynomial segment. NumCoeffPerCurve : the number of coefficient per segments = degree - 1 Coefficients : the coefficients organized in the following way [1..<myNumPolynomials>][1..myMaxDegree +1][1..myDimension] that is : index [n,d,i] is at slot (n-1) * (myMaxDegree + 1) * myDimension + (d-1) * myDimension + i PolynomialIntervals : nth polynomial represents a polynomial between myPolynomialIntervals->Value(n,0) and myPolynomialIntervals->Value(n,1) TrueIntervals : the nth polynomial has to be mapped linearly to be defined on the following interval : myTrueIntervals->Value(n) and myTrueIntervals->Value(n+1) so that it adequately represents the function with the required continuity. More...

#include <Convert_CompPolynomialToPoles.hxx>

Public Member Functions
	Convert_CompPolynomialToPoles (const int NumCurves, const int Continuity, const int Dimension, const int MaxDegree, const occ::handle< NCollection_HArray1< int > > &NumCoeffPerCurve, const occ::handle< NCollection_HArray1< double > > &Coefficients, const occ::handle< NCollection_HArray2< double > > &PolynomialIntervals, const occ::handle< NCollection_HArray1< double > > &TrueIntervals)
	Warning! Continuity can be at MOST the maximum degree of the polynomial functions TrueIntervals : this is the true parameterisation for the composite curve that is : the curve has myContinuity if the nth curve is parameterized between myTrueIntervals(n) and myTrueIntervals(n+1)

	Convert_CompPolynomialToPoles (const int NumCurves, const int Dimension, const int MaxDegree, const NCollection_Array1< int > &Continuity, const NCollection_Array1< int > &NumCoeffPerCurve, const NCollection_Array1< double > &Coefficients, const NCollection_Array2< double > &PolynomialIntervals, const NCollection_Array1< double > &TrueIntervals)
	To Convert several span with different order of Continuity. Warning: The Length of Continuity have to be NumCurves-1.

	Convert_CompPolynomialToPoles (const int Dimension, const int MaxDegree, const int Degree, const NCollection_Array1< double > &Coefficients, const NCollection_Array1< double > &PolynomialIntervals, const NCollection_Array1< double > &TrueIntervals)
	To Convert only one span.

int	NbPoles () const
	Returns the number of poles of the n-dimensional BSpline.

const NCollection_Array2< double > &	Poles () const
	Returns the poles of the n-dimensional BSpline in the following format: [1..NumPoles][1..Dimension].

void	Poles (occ::handle< NCollection_HArray2< double > > &thePoles) const
	Returns the poles of the n-dimensional BSpline via output parameter.

int	Degree () const
	Returns the degree of the n-dimensional BSpline.

int	NbKnots () const
	Returns the number of knots of the n-dimensional BSpline.

const NCollection_Array1< double > &	Knots () const
	Returns the knots of the n-dimensional BSpline.

void	Knots (occ::handle< NCollection_HArray1< double > > &theKnots) const
	Returns the knots of the n-dimensional BSpline via output parameter.

const NCollection_Array1< int > &	Multiplicities () const
	Returns the multiplicities of the knots in the BSpline.

void	Multiplicities (occ::handle< NCollection_HArray1< int > > &theMults) const
	Returns the multiplicities of the knots via output parameter.

bool	IsDone () const
	Returns true if the conversion was successful.

Detailed Description

Convert a serie of Polynomial N-Dimensional Curves that are have continuity CM to an N-Dimensional Bspline Curve that has continuity CM. (to convert an function (curve) polynomial by span in a BSpline) This class uses the following arguments : NumCurves : the number of Polynomial Curves Continuity: the requested continuity for the n-dimensional Spline Dimension : the dimension of the Spline MaxDegree : maximum allowed degree for each composite polynomial segment. NumCoeffPerCurve : the number of coefficient per segments = degree - 1 Coefficients : the coefficients organized in the following way [1..<myNumPolynomials>][1..myMaxDegree +1][1..myDimension] that is : index [n,d,i] is at slot (n-1) * (myMaxDegree + 1) * myDimension + (d-1) * myDimension + i PolynomialIntervals : nth polynomial represents a polynomial between myPolynomialIntervals->Value(n,0) and myPolynomialIntervals->Value(n,1) TrueIntervals : the nth polynomial has to be mapped linearly to be defined on the following interval : myTrueIntervals->Value(n) and myTrueIntervals->Value(n+1) so that it adequately represents the function with the required continuity.

Constructor & Destructor Documentation

◆ Convert_CompPolynomialToPoles() [1/3]

Convert_CompPolynomialToPoles::Convert_CompPolynomialToPoles	(	const int	NumCurves,
		const int	Continuity,
		const int	Dimension,
		const int	MaxDegree,
		const occ::handle< NCollection_HArray1< int > > &	NumCoeffPerCurve,
		const occ::handle< NCollection_HArray1< double > > &	Coefficients,
		const occ::handle< NCollection_HArray2< double > > &	PolynomialIntervals,
		const occ::handle< NCollection_HArray1< double > > &	TrueIntervals )

Warning! Continuity can be at MOST the maximum degree of the polynomial functions TrueIntervals : this is the true parameterisation for the composite curve that is : the curve has myContinuity if the nth curve is parameterized between myTrueIntervals(n) and myTrueIntervals(n+1)

Coefficients have to be the implicit "c form": Coefficients[Numcurves][MaxDegree+1][Dimension]

Warning! The NumberOfCoefficient of an polynome is his degree + 1 Example: To convert the linear function f(x) = 2*x + 1 on the domaine [2,5] to BSpline with the bound [-1,1]. Arguments are : NumCurves = 1; Continuity = 1; Dimension = 1; MaxDegree = 1; NumCoeffPerCurve [1] = {2}; Coefficients[2] = {1, 2}; PolynomialIntervals[1,2] = {{2,5}} TrueIntervals[2] = {-1, 1}

◆ Convert_CompPolynomialToPoles() [2/3]

Convert_CompPolynomialToPoles::Convert_CompPolynomialToPoles	(	const int	NumCurves,
		const int	Dimension,
		const int	MaxDegree,
		const NCollection_Array1< int > &	Continuity,
		const NCollection_Array1< int > &	NumCoeffPerCurve,
		const NCollection_Array1< double > &	Coefficients,
		const NCollection_Array2< double > &	PolynomialIntervals,
		const NCollection_Array1< double > &	TrueIntervals )

To Convert several span with different order of Continuity. Warning: The Length of Continuity have to be NumCurves-1.

◆ Convert_CompPolynomialToPoles() [3/3]

Convert_CompPolynomialToPoles::Convert_CompPolynomialToPoles	(	const int	Dimension,
		const int	MaxDegree,
		const int	Degree,
		const NCollection_Array1< double > &	Coefficients,
		const NCollection_Array1< double > &	PolynomialIntervals,
		const NCollection_Array1< double > &	TrueIntervals )

To Convert only one span.

Member Function Documentation

◆ Degree()

int Convert_CompPolynomialToPoles::Degree ( ) const

Returns the degree of the n-dimensional BSpline.

◆ IsDone()

bool Convert_CompPolynomialToPoles::IsDone ( ) const

Returns true if the conversion was successful.

◆ Knots() [1/2]

const NCollection_Array1< double > & Convert_CompPolynomialToPoles::Knots ( ) const

Returns the knots of the n-dimensional BSpline.

◆ Knots() [2/2]

void Convert_CompPolynomialToPoles::Knots ( occ::handle< NCollection_HArray1< double > > & theKnots ) const

Returns the knots of the n-dimensional BSpline via output parameter.

Deprecated: ("Use Knots() returning const reference instead")

◆ Multiplicities() [1/2]

const NCollection_Array1< int > & Convert_CompPolynomialToPoles::Multiplicities ( ) const

Returns the multiplicities of the knots in the BSpline.

◆ Multiplicities() [2/2]

void Convert_CompPolynomialToPoles::Multiplicities ( occ::handle< NCollection_HArray1< int > > & theMults ) const

Returns the multiplicities of the knots via output parameter.

Deprecated: ("Use Multiplicities() returning const reference instead")

◆ NbKnots()

int Convert_CompPolynomialToPoles::NbKnots ( ) const

Returns the number of knots of the n-dimensional BSpline.

◆ NbPoles()

int Convert_CompPolynomialToPoles::NbPoles ( ) const

Returns the number of poles of the n-dimensional BSpline.

◆ Poles() [1/2]

const NCollection_Array2< double > & Convert_CompPolynomialToPoles::Poles ( ) const

Returns the poles of the n-dimensional BSpline in the following format: [1..NumPoles][1..Dimension].

◆ Poles() [2/2]

void Convert_CompPolynomialToPoles::Poles ( occ::handle< NCollection_HArray2< double > > & thePoles ) const

Returns the poles of the n-dimensional BSpline via output parameter.

Deprecated: ("Use Poles() returning const reference instead")

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

Convert_CompPolynomialToPoles.hxx

Public Member Functions