caa a22 4500 605519323 CHVBK 20210128100730.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10559-015-9719-8 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9719-8 Hermite Interlineation on a System of Non-Intersecting Lines: a review [Elektronische Daten] [I. Sergienko, O. Litvin, O. Litvin, O. Tkachenko, O. Gritsaj] 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. Springer Science+Business Media New York, 2015 Hermite interpolation nationallicence Hermite inerlineation nationallicence interlineation with keeping differentiability class nationallicence isogeometric properties of surface being constructed nationallicence Sergienko I. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Litvin O. Ukrainian Engineering and Pedagogical Academy, Kharkiv, Ukraine aut Tkachenko O. State Enterprise "Ivchenko-Progress,”, Zaporozhye, Ukraine aut Gritsaj O. State Enterprise "Ivchenko-Progress,”, Zaporozhye, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/2(2015-03-01), 276-285 1060-0396 51:2<276 2015 51 10559 https://doi.org/10.1007/s10559-015-9719-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9719-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sergienko I. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 700 1- Litvin O. Ukrainian Engineering and Pedagogical Academy, Kharkiv, Ukraine aut NATIONALLICENCE 700 1- Tkachenko O. State Enterprise "Ivchenko-Progress,”, Zaporozhye, Ukraine aut NATIONALLICENCE 700 1- Gritsaj O. State Enterprise "Ivchenko-Progress,”, Zaporozhye, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/2(2015-03-01), 276-285 1060-0396 51:2<276 2015 51 10559