Method for Optimization of Spline Nodes and Its Application in Trajectory Representation

High-accuracy trajectory representation model is critical to a high-precision trajectory parameter estimation algorithm.Spline function models that use equidistantly spaced nodes are deficient in terms of model approximation accuracy.To solve the problem,a new spline node optimization method based on residual errors of measurement is proposed.A free node spline function model is used to represent trajectory and a method is presented to fix the thresholds for the algorithm.Numerical simulation indicates that the algorithm proposed effectively removes truncation errors.Choosing a higher test level,it can also identify the characteristic points of trajectory.