BSpline Class Reference

Class BSpline. More...

#include <BSpline.h>

List of all members.

Static Public Member Functions
static void	BSplineBasisFunctions (BuiltInArray< double > &N, long k, long n, BuiltInArray< double > &KnotVect, double t)
	This procedure generates the matrix N[i][k] of basis functions at the point t (using the Cox-de Boor's algorithm [DF_Rogers1990 pag. 336]) correspondent to a B-spline curve of order k and (n+1) control points.
static void	BSplineBasisFunctionsDerivative (BuiltInArray< double > &N, BuiltInArray< double > &Nl, long k, long n, BuiltInArray< double > &KnotVect, double t)
	This procedure generates the matrix Nl[i][k] of first order derivatives of the basis functions at the point t correspondent the Bspline curve of order k and (n+1) control points.
static void	OpenUniformKnotVector (BuiltInArray< double > &KnotVect, long k, long n)
	Builds an open uniform knot vector for the generation of a B-spline of order k and (n+1) control points.
static void	ParametricLimit (double &t)
	Maps a parametric coordinate to the range [0.0, 1.0].
Static Public Attributes
static const double	TINY_DOUBLE = 1.0e-12

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Detailed Description

Class BSpline.

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Member Function Documentation

void BSpline::BSplineBasisFunctions	(	BuiltInArray< double > &	N,
		long	k,
		long	n,
		BuiltInArray< double > &	KnotVect,
		double	t
	)		[static]

This procedure generates the matrix N[i][k] of basis functions at the point t (using the Cox-de Boor's algorithm [DF_Rogers1990 pag. 336]) correspondent to a B-spline curve of order k and (n+1) control points.

In this context, order equals degree plus 1.

void BSpline::BSplineBasisFunctionsDerivative	(	BuiltInArray< double > &	N,
		BuiltInArray< double > &	Nl,
		long	k,
		long	n,
		BuiltInArray< double > &	KnotVect,
		double	t
	)		[static]

This procedure generates the matrix Nl[i][k] of first order derivatives of the basis functions at the point t correspondent the Bspline curve of order k and (n+1) control points.

In this context, order equals degree plus 1.

void BSpline::ParametricLimit

(

double &

t

)

[static]

Maps a parametric coordinate to the range [0.0, 1.0].

Procedure used in the Newton-Raphson iterations for determination of parametric coordinates of NURBS curves and surfaces.

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Member Data Documentation

const double BSpline::TINY_DOUBLE = 1.0e-12 [static]

## Attribute: TINY_DOUBLE%39DB90C803BB ## begin BSpline::TINY_DOUBLE%39DB90C803BB.attr preserve=no public: static const double {UA} 1.0e-12

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

• include/nurbs/BSpline.h
• src/nurbs/BSpline.cpp