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

Content Provider	Springer Nature Link
Author	Sergienko, I. V. Litvin, O. M. Litvin, O. O. Tkachenko, O. V. Gritsaj, O. L.
Copyright Year	2015
Abstract	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.
Starting Page	276
Ending Page	285
Page Count	10
File Format	PDF
ISSN	10600396
Journal	Cybernetics and Systems Analysis
Volume Number	51
Issue Number	2
e-ISSN	15738337
Language	English
Publisher	Springer US
Publisher Date	2015-03-28
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hermite interpolation Hermite inerlineation interlineation with keeping differentiability class isogeometric properties of surface being constructed Systems Theory, Control Artificial Intelligence (incl. Robotics) Processor Architectures Software Engineering/Programming and Operating Systems
Content Type	Text
Resource Type	Article
Subject	Computer Science

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