Modification of the Algorithm for Selecting a Variable Parameter of the Gaussian Interpolation Function

Abstract

The paper presents an algorithm for selecting the optimal value of the variable parameter α of the Gaussian interpolation function to obtain the smallest possible error when interpolating the tabular data. The results of the algorithm are checked on a sample of elementary mathematical functions. For comparison, the interpolation data of the Lagrange polynomial are given. The paper presents the results of Gaussian interpolation at different α, conclusions are made about the need to applying the algorithm for selecting of its optimal value.

Interpolation of Different Types of Spiral-Like Curves by Gaus-Interpolation Methods

“…Gauss methods gave acceptable results when interpolating elementary algebraic curves [9] and in the case of a non-uniform interpolation step [10]. In this paper, the problem of interpolating diffe-rent types of spirals using the usual and parametric Gaussian functions is considered.…”