Hermite Interlineation on a System of Non-Intersecting Lines: a review

Autor: Ivan V. Sergienko, O. V. Tkachenko, O. M. Litvin, O. O. Litvin, O. L. Gritsaj
Rok vydání: 2015
Předmět:
Zdroj: Cybernetics and Systems Analysis. 51:276-285
ISSN: 1573-8337
1060-0396
DOI: 10.1007/s10559-015-9719-8
Popis: The authors present a method to construct operators of Hermite interlineation for functions of two and three variables in a Cartesian and cylindrical coordinate systems for the case where experimental data (traces of a function and its partial derivatives up to a preassigned order) are defined on a system of non-intersecting lines. These operators automatically keep the class of differentiability of the approximated function. On their basis, a method is proposed to construct Hermite interpolation operators for functions of two variables in a cylindrical coordinate system with automatic preservation of the class of differentiability to which the approximated function belongs. For the case where the values of derivatives of some or all orders are unknown, they can be considered parameters of control of isogeometric properties of the surface under construction.
Databáze: OpenAIRE
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