MathTL::Spline< d > Class Template Reference

#include <splines.h>

Inheritance diagram for MathTL::Spline< d >:

List of all members.

Public Member Functions
	Spline ()
	Spline (const Array1D< double > &knots, const Array1D< double > &coeffs)
virtual	~Spline ()
double	value (const Point< 1 > &p, const unsigned int component=0) const
void	vector_value (const Point< 1 > &p, Vector< double > &values) const
Protected Attributes
Array1D< double >	knots_
Array1D< double >	coeffs_

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Detailed Description

template<unsigned int d>
class MathTL::Spline< d >

This class models (compactly supported) splines of order d f(x) = sum_{j=0}^n alpha_j N_{j,d}(x) with respect to the nondecreasing knot sequence t_0 <= t_1 <= ... <= t_{n+d}, where N_{j,d}(x) = (t_{j+d}-t_j)[t_j,...,t_{j+d}](.-x)^{d-1}_+ is the j-th (normalized) B-spline of order d.

References: deBoor: A practical guide to splines

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Constructor & Destructor Documentation

template<unsigned int d>

MathTL::Spline< d >::Spline

(

)

[inline]

default constructor: splines are real-valued; the default knot sequence is {0,1,...,d}, the default spline is a cardinal B-spline, alpha_j = delta_{j,0}

template<unsigned int d>

MathTL::Spline< d >::Spline	(	const Array1D< double > &	knots,
		const Array1D< double > &	coeffs
	)		[inline]

construct spline from a knot sequence and given coefficients

template<unsigned int d>

virtual MathTL::Spline< d >::~Spline

(

)

[inline, virtual]

virtual destructor

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Member Function Documentation

template<unsigned int d>

double MathTL::Spline< d >::value	(	const Point< 1 > &	p,
		const unsigned int	component = 0
	)		const [inline]

value of a spline

template<unsigned int d>

void MathTL::Spline< d >::vector_value	(	const Point< 1 > &	p,
		Vector< double > &	values
	)		const [inline]

value of a spline

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Member Data Documentation

template<unsigned int d>

Array1D<double> MathTL::Spline< d >::coeffs_ [protected]

B-spline coefficients

template<unsigned int d>

Array1D<double> MathTL::Spline< d >::knots_ [protected]

knot sequence t_0,...,t_{n+d}

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

• numerics/splines.h