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

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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.

About the authors

L A Sevastianov

Peoples Friendship University of Russia

Кафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia

M G Kokotchikova

Peoples Friendship University of Russia

Кафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia

D S Kulyabov

Peoples Friendship University of Russia

Кафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2009 Севастьянов Л.А., Кокотчикова М.Г., Кулябов Д.С.

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