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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 5, Pages 760–774 (Mi zvmmf651)  
This article is cited in 6 scientific papers (total in 6 papers)

Optimal parametrization in approximation of curves and surfaces

E. B. Kuznetsov, A. Yu. Yakimovitch

Moscow Aviation Institute (State University), sh. Volokolamskoe 4, Moscow, 125993, Russia
Full-text PDF (1835 kB) Citations (6)
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Abstract: Interpolation and smoothing of curves and surfaces by parametric functions are considered. Necessary and sufficient conditions for the optimal choice of the parameters for the approximation of curves and surfaces are formulated and proved. Various parametrization methods are compared. Numerical examples of solving test problems are presented.
Key words: parametric interpolation, parametric approximation, parametrization, optimal parameter.
Received: 23.07.2004
Revised: 29.12.2004
Bibliographic databases:
Document Type: Article
UDC: 519.652.2
Language: Russian
Citation: E. B. Kuznetsov, A. Yu. Yakimovitch, “Optimal parametrization in approximation of curves and surfaces”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005), 760–774; Comput. Math. Math. Phys., 45:5 (2005), 732–745
Citation in format AMSBIB
\Bibitem{KuzYak05}
\by E.~B.~Kuznetsov, A.~Yu.~Yakimovitch
\paper Optimal parametrization in approximation of curves and surfaces
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 5
\pages 760--774
\mathnet{http://mi.mathnet.ru/zvmmf651}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2190074}
\zmath{https://zbmath.org/?q=an:1092.65013}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 5
\pages 732--745
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  • https://www.mathnet.ru/eng/zvmmf/v45/i5/p760
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:44
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