Approximation of the vessels' courses by generalized local differentiable spline
A new method of functions approximation is proposed, called generalized local spline, which allows to construct an approximating function, continuously differentiable infinitely many times. The proposed method also allows to approximate derivatives of the required function till almost any order. The dependency of the approximation function on the initial data is local. We prove the convergence of the interpolation process, and evaluate the accuracy of approximation. The article considers the issues of the proposed method implementation in a vessel's trajectory construction.