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Data Processing by Method of Transformation of Functions and its Derivatives Values on Grids into Fourier Coefficients
- Authors: Sevastianov LA1, Kokotchikova MG1, Kulyabov DS1
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Affiliations:
- Peoples Friendship University of Russia
- Issue: No 1 (2009)
- Pages: 62-70
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8468
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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 RussiaКафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia
M G Kokotchikova
Peoples Friendship University of RussiaКафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia
D S Kulyabov
Peoples Friendship University of RussiaКафедра систем телекоммуникаций; Российский университет дружбы народов; Peoples Friendship University of Russia
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