File BSplineBasis.hΒΆ

Copyright

This code is licensed under the 3-clause BSD license.

Copyright ETH Zurich, Laboratory for Physical Chemistry, Reiher Group.

See LICENSE.txt for details.

namespace 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.

namespace Utils
namespace BSplines
class BSplineBasis
#include <BSplineBasis.h>

Evaluate the B-Spline basis functions that are defined by the knot vector

Public Static Functions

static double evaluate(int i, int pk, int numberOfSplineSegments, const Eigen::VectorXd &knotVector, double u)

Evaluates the basis function with the Cox-DeBoor-Mansfield Recurrence Relation

  • i can range from 0 to n with n being the number of polynomial segements spline

  • the number of control points or number of basis functions = n+1

  • n is the number of polynomial segments

  • the knot vector can be of any degree k

  • u ranges form 0 to 1