Data Processing by Method of Transformation of Functions and its Derivatives Values on Grids into Fourier Coefficients

Abstract

In this paper two practical problems are considered: function reconstruction from its or its partial derivatives perturbed values on a discrete grid. Formulation of stable reconstruction of a function with method of regularized expansion in Fourier series of Zernike polynomials is proposed. Calculations of stabilizing functionals are realized in computer algebra system Axiom.