fit_mean_closed function

Fitting function for open curves

Fits an elastic mean for open curves. Is usually called from compute_elastic_mean.

fit_mean_closed(srv_data_curves, knots, max_iter, type, eps, pen_factor)

Arguments

• srv_data_curves: list of data.frames with srv vectors in each row. Usually a result of a call to get_srv_from_points
• knots: set of knots for the mean spline curve
• max_iter: maximal number of iterations
• type: if "smooth" linear srv-splines are used which results in a differentiable mean curve
• eps: the algorithm stops if L2 norm of coefficients changes less
• pen_factor: penalty factor forcing the mean to be closed if "polygon" the mean will be piecewise linear.

Returns

a list

with entries - type: "smooth" or "polygon"

• coefs: coefs srv spline coefficients of the estimated mean

• knots: spline knots

• t_optims: optimal parametrization

• shift_idxs: index of the starting point of the closed curve after alignment