Eigen::SplineFitting< SplineType > Struct Template Reference

Detailed Description

template<typename SplineType>
struct Eigen::SplineFitting< SplineType >

Spline fitting methods.

Static Public Member Functions

template<typename PointArrayType >
static SplineType Interpolate (const PointArrayType &pts, DenseIndex degree)
 Fits an interpolating Spline to the given data points. More...
 
template<typename PointArrayType >
static SplineType Interpolate (const PointArrayType &pts, DenseIndex degree, const KnotVectorType &knot_parameters)
 Fits an interpolating Spline to the given data points. More...
 
template<typename PointArrayType , typename IndexArray >
static SplineType InterpolateWithDerivatives (const PointArrayType &points, const PointArrayType &derivatives, const IndexArray &derivativeIndices, const unsigned int degree)
 Fits an interpolating spline to the given data points and derivatives. More...
 
template<typename PointArrayType , typename IndexArray >
static SplineType InterpolateWithDerivatives (const PointArrayType &points, const PointArrayType &derivatives, const IndexArray &derivativeIndices, const unsigned int degree, const ParameterVectorType &parameters)
 Fits an interpolating spline to the given data points and derivatives. More...
 

Member Function Documentation

◆ Interpolate() [1/2]

template<typename SplineType >
template<typename PointArrayType >
SplineType Eigen::SplineFitting< SplineType >::Interpolate ( const PointArrayType &  pts,
DenseIndex  degree 
)
static

Fits an interpolating Spline to the given data points.

Parameters
ptsThe points for which an interpolating spline will be computed.
degreeThe degree of the interpolating spline.
Returns
A spline interpolating the initially provided points.

◆ Interpolate() [2/2]

template<typename SplineType >
template<typename PointArrayType >
SplineType Eigen::SplineFitting< SplineType >::Interpolate ( const PointArrayType &  pts,
DenseIndex  degree,
const KnotVectorType &  knot_parameters 
)
static

Fits an interpolating Spline to the given data points.

Parameters
ptsThe points for which an interpolating spline will be computed.
degreeThe degree of the interpolating spline.
knot_parametersThe knot parameters for the interpolation.
Returns
A spline interpolating the initially provided points.

◆ InterpolateWithDerivatives() [1/2]

template<typename SplineType >
template<typename PointArrayType , typename IndexArray >
SplineType Eigen::SplineFitting< SplineType >::InterpolateWithDerivatives ( const PointArrayType &  points,
const PointArrayType &  derivatives,
const IndexArray &  derivativeIndices,
const unsigned int  degree 
)
static

Fits an interpolating spline to the given data points and derivatives.

Parameters
pointsThe points for which an interpolating spline will be computed.
derivativesThe desired derivatives of the interpolating spline at interpolation points.
derivativeIndicesAn array indicating which point each derivative belongs to. This must be the same size as derivatives.
degreeThe degree of the interpolating spline.
Returns
A spline interpolating points with derivatives at those points.
See also
Les A. Piegl, Khairan Rajab, Volha Smarodzinana. 2008. Curve interpolation with directional constraints for engineering design. Engineering with Computers

◆ InterpolateWithDerivatives() [2/2]

template<typename SplineType >
template<typename PointArrayType , typename IndexArray >
SplineType Eigen::SplineFitting< SplineType >::InterpolateWithDerivatives ( const PointArrayType &  points,
const PointArrayType &  derivatives,
const IndexArray &  derivativeIndices,
const unsigned int  degree,
const ParameterVectorType &  parameters 
)
static

Fits an interpolating spline to the given data points and derivatives.

Parameters
pointsThe points for which an interpolating spline will be computed.
derivativesThe desired derivatives of the interpolating spline at interpolation points.
derivativeIndicesAn array indicating which point each derivative belongs to. This must be the same size as derivatives.
degreeThe degree of the interpolating spline.
parametersThe parameters corresponding to the interpolation points.
Returns
A spline interpolating points with derivatives at those points.
See also
Les A. Piegl, Khairan Rajab, Volha Smarodzinana. 2008. Curve interpolation with directional constraints for engineering design. Engineering with Computers

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