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Matem. Mod., 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

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.

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English version:
Mathematical Models and Computer Simulations, 2009, 1:1, 11–20

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Received: 24.10.2005

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://www.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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929088150}


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