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Matematicheskoe modelirovanie, 2008, Volume 20, Number 1, Pages 16–28 (Mi mm2134)  
High-precision invariant on rotation parameterization of curves

E. A. Alshina, E. S. Ivanchenko, N. N. Kalitkin, V. F. Tishkin

Institute for Mathematical Modelling, Russian Academy of Sciences
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Abstract: A problem of invariant on rotation curves, specified by the points, was investigated. Arc length was chosen as curve parameter. The algorithm for evaluation of arch length with 4th order of accuracy is proposed. Methods for calculating of others curve characteristics as tangent slope, curvature and derivative of curvature, were also offered. The common requirements for approximation supplying invariant on rotation approximation were investigated.
Received: 24.10.2005
English version:
Mathematical Models and Computer Simulations, 2009, Volume 1, Issue 1, Pages 11–20
DOI: https://doi.org/10.1134/S2070048209010025
Bibliographic databases:
Language: Russian
Citation: E. A. Alshina, E. S. Ivanchenko, N. N. Kalitkin, V. F. Tishkin, “High-precision invariant on rotation parameterization of curves”, Matem. Mod., 20:1 (2008), 16–28; Math. Models Comput. Simul., 1:1 (2009), 11–20
Citation in format AMSBIB
\Bibitem{AlsIvaKal08}
\by E.~A.~Alshina, E.~S.~Ivanchenko, N.~N.~Kalitkin, V.~F.~Tishkin
\paper High-precision invariant on rotation parameterization of curves
\jour Matem. Mod.
\yr 2008
\vol 20
\issue 1
\pages 16--28
\mathnet{http://mi.mathnet.ru/mm2134}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2385001}
\zmath{https://zbmath.org/?q=an:1150.65318}
\transl
\jour Math. Models Comput. Simul.
\yr 2009
\vol 1
\issue 1
\pages 11--20
\crossref{https://doi.org/10.1134/S2070048209010025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929088150}
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    		Математическое моделирование
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