SplineInterpolator Namespace Reference

Spline interpolation/projection schemes. More...

Functions
void	interpolate (const std::vector< double > &params, const std::vector< double > &points, const std::vector< double > &tangent_points, const Go::BsplineBasis &basis, std::vector< double > &coefs)
	Global spline interpolation method. More...
void	quasiinterpolate (const std::vector< double > &params, const std::vector< double > &points, const std::vector< double > &tangent_points, const Go::BsplineBasis &basis, int index, std::vector< double > &coefs)
	Local spline approximation method (Quasi-Interpolation). More...
void	leastsquare_approximation (const std::vector< double > &params, const std::vector< double > &paramsweights, const std::vector< double > &points, const std::vector< double > &tangent_points, const Go::BsplineBasis &basis, std::vector< double > &coefs)
	Global spline approximation method (Least-Square Fit). More...

Detailed Description

Spline interpolation/projection schemes.

Function Documentation

interpolate()

void SplineInterpolator::interpolate	(	const std::vector< double > &	params,
		const std::vector< double > &	points,
		const std::vector< double > &	tangent_points,
		const Go::BsplineBasis &	basis,
		std::vector< double > &	coefs
	)

Global spline interpolation method.

Parameters

[in]	params	Parameters for the data points. Its size is equal to the total number of data points.
[in]	points	The data points. Its size is equal to the total number of data points multiplied with the spatial dimension. (NB: The algorithm deduces the spatial dimension to use by dividing the size of points with the size of params).
[in]	tangent_points	Tangents associated with those data points that are referred to in params. Its size is equal to the total number of datapoints that has tangents, multiplied by the dimension of the space.
[in]	basis	The basis of the B-spline
[out]	coefs	Control point values of the generated spline curve. (Its basis can be obtained by calling the basis() method).

References DenseMatrix::solve().

leastsquare_approximation()

void SplineInterpolator::leastsquare_approximation	(	const std::vector< double > &	params,
		const std::vector< double > &	paramsweights,
		const std::vector< double > &	points,
		const std::vector< double > &	tangent_points,
		const Go::BsplineBasis &	basis,
		std::vector< double > &	coefs
	)

Global spline approximation method (Least-Square Fit).

Parameters

[in]	params	Parameters for the data points
[in]	paramsweights	Parameter Gauss weights
[in]	points	Data points evaluated at the Gauss points
[in]	tangent_points	Tangents associated with those data points that are referred to in params
[in]	basis	The basis of the B-spline
[out]	coefs	Control point values of the generated spline curve

References DenseMatrix::getMat(), and DenseMatrix::solve().

Referenced by ASMs2D::projectSolutionLeastSquare(), and ASMs3D::projectSolutionLeastSquare().

quasiinterpolate()

void SplineInterpolator::quasiinterpolate	(	const std::vector< double > &	params,
		const std::vector< double > &	points,
		const std::vector< double > &	tangent_points,
		const Go::BsplineBasis &	basis,
		int	index,
		std::vector< double > &	coefs
	)

Local spline approximation method (Quasi-Interpolation).

Parameters

[in]	params	Parameters for the data points. Its size is equal to the local number of data points.
[in]	points	The local data points
[in]	tangent_points	Tangents associated with those data points that are referred to in params
[in]	index	Index of control point to extract in the sliding window
[in]	basis	The basis of the B-spline
[out]	coefs	Local control point values of the generated spline curve

References DenseMatrix::solve().