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CubicHermiteSpline Class Reference

Represents a set of cubic hermite splines defining a continuous function \(p(t)\). A hermite cubic spline is a minimal degree polynom interpolating a function in two points \(P_i\) and \(P_{i+1}\) with its tangent \(m_i\) and \(m_{i+1}\).
A hermite cubic spline : More...

#include <ndcurves/cubic_hermite_spline.h>

Detailed Description

Represents a set of cubic hermite splines defining a continuous function \(p(t)\). A hermite cubic spline is a minimal degree polynom interpolating a function in two points \(P_i\) and \(P_{i+1}\) with its tangent \(m_i\) and \(m_{i+1}\).
A hermite cubic spline :

  • crosses each of the waypoint given in its initialization ( \(P_0\), \(P_1\),..., \(P_N\)).
  • has its derivatives on \(P_i\) and \(P_{i+1}\) are \(p'(t_{P_i}) = m_i\) and \(p'(t_{P_{i+1}}) = m_{i+1}\).

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