Classes | Namespaces | Functions
SplineFitting.h File Reference
#include <algorithm>
#include <functional>
#include <numeric>
#include <vector>
#include "SplineFwd.h"
#include <Eigen/LU>
#include <Eigen/QR>
Include dependency graph for SplineFitting.h:

Go to the source code of this file.

Classes

struct  Eigen::SplineFitting< SplineType >
 Spline fitting methods. More...
 

Namespaces

 Eigen
 

Functions

template<typename PointArrayType , typename KnotVectorType >
void Eigen::ChordLengths (const PointArrayType &pts, KnotVectorType &chord_lengths)
 Computes chord length parameters which are required for spline interpolation. More...
 
template<typename KnotVectorType >
void Eigen::KnotAveraging (const KnotVectorType &parameters, DenseIndex degree, KnotVectorType &knots)
 Computes knot averages.The knots are computed as

\begin{align*} u_0 & = \hdots = u_p = 0 \\ u_{m-p} & = \hdots = u_{m} = 1 \\ u_{j+p} & = \frac{1}{p}\sum_{i=j}^{j+p-1}\bar{u}_i \quad\quad j=1,\hdots,n-p \end{align*}

where $p$ is the degree and $m+1$ the number knots of the desired interpolating spline. More...

 
template<typename KnotVectorType , typename ParameterVectorType , typename IndexArray >
void Eigen::KnotAveragingWithDerivatives (const ParameterVectorType &parameters, const unsigned int degree, const IndexArray &derivativeIndices, KnotVectorType &knots)
 Computes knot averages when derivative constraints are present. Note that this is a technical interpretation of the referenced article since the algorithm contained therein is incorrect as written. More...
 

hebiros
Author(s): Xavier Artache , Matthew Tesch
autogenerated on Thu Sep 3 2020 04:09:50