GLOBAL INTERPOLATION OF THE POINTING POLYNOMIAL OF THE GEOMETRIC COMPOSITION WITH MULTIPLE POINTS

Abstract

The article shows the sequence of parameterization, along the coordinate axis, of the original discretely presented line (DPL) and is presented in general form by a point polynomial. Possible options for the appearance of multiple points are considered and the values of the parameters for these options are presented. It is indicated that with the appearance of multiple points on the DPL in the constituent elements of a point polynomial, uncertainties arise. It is proved that all these uncertainties are revealed, the limits of which, at the nodal points, are zero or one. It is shown that the uncertainties that arise with the appearance of multiple points on the DPC are not an obstacle to global interpolation modeling resources will increase, and the efficiency and quality of modeling will decrease.