Law_BSplineKnotSplitting Class Reference

For a B-spline curve the discontinuities are localised at the knot values and between two knots values the B-spline is infinitely continuously differentiable. At a knot of range index the continuity is equal to : Degree - Mult (Index) where Degree is the degree of the basis B-spline functions and Mult the multiplicity of the knot of range Index. If for your computation you need to have B-spline curves with a minima of continuity it can be interesting to know between which knot values, a B-spline curve arc, has a continuity of given order. This algorithm computes the indexes of the knots where you should split the curve, to obtain arcs with a constant continuity given at the construction time. The splitting values are in the range [FirstUKnotValue, LastUKnotValue] (See class B-spline curve from package Geom). If you just want to compute the local derivatives on the curve you don't need to create the B-spline curve arcs, you can use the functions LocalD1, LocalD2, LocalD3, LocalDN of the class BSplineCurve. More...

#include <Law_BSplineKnotSplitting.hxx>

Public Member Functions
	Law_BSplineKnotSplitting (const Handle< Law_BSpline > &BasisLaw, const Standard_Integer ContinuityRange)
	Locates the knot values which correspond to the segmentation of the curve into arcs with a continuity equal to ContinuityRange. More...
Standard_Integer	NbSplits () const
	Returns the number of knots corresponding to the splitting. More...
void	Splitting (TColStd_Array1OfInteger &SplitValues) const
	Returns the indexes of the BSpline curve knots corresponding to the splitting. More...
Standard_Integer	SplitValue (const Standard_Integer Index) const
	Returns the index of the knot corresponding to the splitting of range Index. More...

Detailed Description

For a B-spline curve the discontinuities are localised at the knot values and between two knots values the B-spline is infinitely continuously differentiable. At a knot of range index the continuity is equal to : Degree - Mult (Index) where Degree is the degree of the basis B-spline functions and Mult the multiplicity of the knot of range Index. If for your computation you need to have B-spline curves with a minima of continuity it can be interesting to know between which knot values, a B-spline curve arc, has a continuity of given order. This algorithm computes the indexes of the knots where you should split the curve, to obtain arcs with a constant continuity given at the construction time. The splitting values are in the range [FirstUKnotValue, LastUKnotValue] (See class B-spline curve from package Geom). If you just want to compute the local derivatives on the curve you don't need to create the B-spline curve arcs, you can use the functions LocalD1, LocalD2, LocalD3, LocalDN of the class BSplineCurve.

Constructor & Destructor Documentation

Law_BSplineKnotSplitting::Law_BSplineKnotSplitting	(	const Handle< Law_BSpline > &	BasisLaw,
		const Standard_Integer	ContinuityRange
	)

Locates the knot values which correspond to the segmentation of the curve into arcs with a continuity equal to ContinuityRange.

Raised if ContinuityRange is not greater or equal zero.

Member Function Documentation

Standard_Integer Law_BSplineKnotSplitting::NbSplits

(

)

const

Returns the number of knots corresponding to the splitting.

void Law_BSplineKnotSplitting::Splitting

(

TColStd_Array1OfInteger &

SplitValues

)

const

Returns the indexes of the BSpline curve knots corresponding to the splitting.

Raised if the length of SplitValues is not equal to NbSPlit.

Standard_Integer Law_BSplineKnotSplitting::SplitValue

(

const Standard_Integer

Index

)

const

Returns the index of the knot corresponding to the splitting of range Index.

Raised if Index < 1 or Index > NbSplits

---

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

• Law_BSplineKnotSplitting.hxx