Examples of mathematical models for the formation of spline curves based on polynomials of various orders that simulate certain trajectories are given.
Mathematical models of the formation of a spline-curve are presented, taking into account the extreme derivatives of the initial orders. The construction of spline curves of Hermite and Bezier of various orders, consisting of different segments, is considered. The presented models are systematic and universal, i.e. can be used to generate any polynomial spline curves with specified extreme derivatives of vectors.Example_1.mwExample_2.mwExample_3.mwExample_4.mwExample_5.mwExample_7.mwExample_6.mw