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 represent adequatly the function with the
required continuity
More...

#include <Convert_CompPolynomialToPoles.hxx>

Public Member Functions
	Convert_CompPolynomialToPoles (const Standard_Integer NumCurves, const Standard_Integer Continuity, const Standard_Integer Dimension, const Standard_Integer MaxDegree, const Handle< TColStd_HArray1OfInteger > &NumCoeffPerCurve, const Handle< TColStd_HArray1OfReal > &Coefficients, const Handle< TColStd_HArray2OfReal > &PolynomialIntervals, const Handle< TColStd_HArray1OfReal > &TrueIntervals)
	Warning! <br> Continuity can be at MOST the maximum degree of <br> the polynomial functions <br> 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} More...

	Convert_CompPolynomialToPoles (const Standard_Integer NumCurves, const Standard_Integer Dimension, const Standard_Integer MaxDegree, const TColStd_Array1OfInteger &Continuity, const TColStd_Array1OfInteger &NumCoeffPerCurve, const TColStd_Array1OfReal &Coefficients, const TColStd_Array2OfReal &PolynomialIntervals, const TColStd_Array1OfReal &TrueIntervals)
	To Convert sevral span with different order of Continuity. <br> Warning: The Length of Continuity have to be NumCurves-1 More...

	Convert_CompPolynomialToPoles (const Standard_Integer Dimension, const Standard_Integer MaxDegree, const Standard_Integer Degree, const TColStd_Array1OfReal &Coefficients, const TColStd_Array1OfReal &PolynomialIntervals, const TColStd_Array1OfReal &TrueIntervals)
	To Convert only one span. More...

Standard_Integer	NbPoles () const
	number of poles of the n-dimensional BSpline <br> More...

void	Poles (Handle< TColStd_HArray2OfReal > &Poles) const
	returns the poles of the n-dimensional BSpline <br> in the following format : [1..NumPoles][1..Dimension] More...

Standard_Integer	Degree () const

Standard_Integer	NbKnots () const
	Degree of the n-dimensional Bspline More...

void	Knots (Handle< TColStd_HArray1OfReal > &K) const
	Knots of the n-dimensional Bspline More...

void	Multiplicities (Handle< TColStd_HArray1OfInteger > &M) const
	Multiplicities of the knots in the BSpline More...

Standard_Boolean	IsDone () const

Detailed Description

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 represent adequatly the function with the
required continuity

Constructor & Destructor Documentation

Convert_CompPolynomialToPoles::Convert_CompPolynomialToPoles	(	const Standard_Integer	NumCurves,
		const Standard_Integer	Continuity,
		const Standard_Integer	Dimension,
		const Standard_Integer	MaxDegree,
		const Handle< TColStd_HArray1OfInteger > &	NumCoeffPerCurve,
		const Handle< TColStd_HArray1OfReal > &	Coefficients,
		const Handle< TColStd_HArray2OfReal > &	PolynomialIntervals,
		const Handle< TColStd_HArray1OfReal > &	TrueIntervals
	)

  Warning! <br>
      Continuity can be at MOST the maximum degree of <br>
      the polynomial functions <br>

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::Convert_CompPolynomialToPoles	(	const Standard_Integer	NumCurves,
		const Standard_Integer	Dimension,
		const Standard_Integer	MaxDegree,
		const TColStd_Array1OfInteger &	Continuity,
		const TColStd_Array1OfInteger &	NumCoeffPerCurve,
		const TColStd_Array1OfReal &	Coefficients,
		const TColStd_Array2OfReal &	PolynomialIntervals,
		const TColStd_Array1OfReal &	TrueIntervals
	)

To Convert sevral span with different order of Continuity. <br>

Warning: The Length of Continuity have to be NumCurves-1

Convert_CompPolynomialToPoles::Convert_CompPolynomialToPoles	(	const Standard_Integer	Dimension,
		const Standard_Integer	MaxDegree,
		const Standard_Integer	Degree,
		const TColStd_Array1OfReal &	Coefficients,
		const TColStd_Array1OfReal &	PolynomialIntervals,
		const TColStd_Array1OfReal &	TrueIntervals
	)

To Convert only one span.

Member Function Documentation

Standard_Integer Convert_CompPolynomialToPoles::Degree ( ) const

Standard_Boolean Convert_CompPolynomialToPoles::IsDone ( ) const

void Convert_CompPolynomialToPoles::Knots ( Handle< TColStd_HArray1OfReal > & K ) const

Knots of the n-dimensional Bspline

void Convert_CompPolynomialToPoles::Multiplicities ( Handle< TColStd_HArray1OfInteger > & M ) const

Multiplicities of the knots in the BSpline

Standard_Integer Convert_CompPolynomialToPoles::NbKnots ( ) const

Degree of the n-dimensional Bspline

Standard_Integer Convert_CompPolynomialToPoles::NbPoles ( ) const

  number of poles of the n-dimensional BSpline <br>

void Convert_CompPolynomialToPoles::Poles ( Handle< TColStd_HArray2OfReal > & Poles ) const

  returns the poles of the n-dimensional BSpline <br>

in the following format :
[1..NumPoles][1..Dimension]

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

Convert_CompPolynomialToPoles.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation