r"""
        Parametric B-spline interpolation in N-dimensions.

        Parameters
        ----------
        traj : array_like (float)
            Solution trajectory providing the data points for constructing the
            B-spline representation.
        ti : array_like (float)
            Array of values for the independent variable at which to
            interpolate the value of the B-spline.
        k : int, optional(default=3)
            Degree of the desired B-spline. Degree must satisfy
            :math:`1 \le k \le 5`.
        der : int, optional(default=0)
            The order of derivative of the spline to compute (must be less
            than or equal to `k`).
        ext : int, optional(default=2) Controls the value of returned elements
            for outside the original knot sequence provided by traj. For
            extrapolation, set `ext=0`; `ext=1` returns zero; `ext=2` raises a
            `ValueError`.

        Returns
        -------
        interp_traj: ndarray (float)
            The interpolated trajectory.

def interpolate(self, traj, ti, k=3, der=0, ext=2):
        r"""
        Parametric B-spline interpolation in N-dimensions.

        Parameters
        ----------
        traj : array_like (float)
            Solution trajectory providing the data points for constructing the
            B-spline representation.
        ti : array_like (float)
            Array of values for the independent variable at which to
            interpolate the value of the B-spline.
        k : int, optional(default=3)
            Degree of the desired B-spline. Degree must satisfy
            :math:`1 \le k \le 5`.
        der : int, optional(default=0)
            The order of derivative of the spline to compute (must be less
            than or equal to `k`).
        ext : int, optional(default=2) Controls the value of returned elements
            for outside the original knot sequence provided by traj. For
            extrapolation, set `ext=0`; `ext=1` returns zero; `ext=2` raises a
            `ValueError`.

        Returns
        -------
        interp_traj: ndarray (float)
            The interpolated trajectory.

        """
        # array of parameter values
        u = traj[:, 0]

        # build list of input arrays
        n = traj.shape[1]
        x = [traj[:, i] for i in range(1, n)]

        # construct the B-spline representation (s=0 forces interpolation!)
        tck, t = interpolate.splprep(x, u=u, k=k, s=0)

        # evaluate the B-spline (returns a list)
        out = interpolate.splev(ti, tck, der, ext)

        # convert to a 2D array
        interp_traj = np.hstack((ti[:, np.newaxis], np.array(out).T))

        return interp_traj