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

pts	The points for which an interpolating spline will be computed.
degree	The 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

pts	The points for which an interpolating spline will be computed.
degree	The degree of the interpolating spline.
knot_parameters	The 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

points	The points for which an interpolating spline will be computed.
derivatives	The desired derivatives of the interpolating spline at interpolation points.
derivativeIndices	An array indicating which point each derivative belongs to. This must be the same size as derivatives.
degree	The 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

points	The points for which an interpolating spline will be computed.
derivatives	The desired derivatives of the interpolating spline at interpolation points.
derivativeIndices	An array indicating which point each derivative belongs to. This must be the same size as derivatives.
degree	The degree of the interpolating spline.
parameters	The 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:

• SplineFitting.h