File FixedEndsPenalizedLeastSquaresGenerator.h¶
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This code is licensed under the 3-clause BSD license.
Copyright ETH Zurich, Laboratory for Physical Chemistry, Reiher Group.
See LICENSE.txt for details.
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Scine This header file contains functions that allow for common notation for common things that can be done at a different degree of derivatives.
This header contains alias definitions defining which classes to use for the different degrees of derivatives.
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Utils -
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BSplines -
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FixedEndsPenalizedLeastSquaresGenerator: public Scine::Utils::BSplines::Generator - #include <FixedEndsPenalizedLeastSquaresGenerator.h>
Generates a B-Spline curve with a specified number of control points approximating the data points with fixed ends. „Fixed ends” means that the first and last control points are constrained to coincide with the first and last data point of the set. (see the NURBS book by Piegl 1997) Thus, all but the first and last control points (n-1 in total) are optimized. Still, the resulting B-Splines curve passes through the first and last control point since the first and last basis functions are equal to unity at the ends of the domain (N(u=0)=1, N(u=1)=1, therefore C(u=0)=P_0=R_0 and C(u=1)=P_last=R_last). Penalization can be turned on by specifying a lambda value > 0 and difference orders can be specified by kappa. (see the NURBS book by Piegl 1997)
Public Functions
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FixedEndsPenalizedLeastSquaresGenerator(const Eigen::Ref<const Eigen::MatrixXd> &dataPoints, int numberOfControlPoints, int splineDegree = 3, bool uniformKnotVector = false, double lambda = 0, int kappa = 2)¶
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