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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 11, Pages 1962–1971 (Mi zvmmf378)  
This article is cited in 5 scientific papers (total in 5 papers)

Bernstein polynomials and composite Bézier curves

M. I. Grigor'eva, V. N. Malozemova, A. N. Sergeevb

a Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Petrodvorets, 198504, Russia
b Engineering and Economical Academy, ul. Marata 27, St. Petersburg, 191002, Russia
Full-text PDF (866 kB) Citations (5)
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Abstract: Analytical principles of the theory of Bézier curves are presented. A new approach to the construction of composite Bézier curves of prescribed smoothness both on a plane and in a multidimensional Euclidean space is proposed.
Key words: Bernstein polynomials, constructing Bézier curves on the basis of Bernstein polynomials, geometric design.
Received: 27.04.2006
Revised: 19.06.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 11, Pages 1872–1881
DOI: https://doi.org/10.1134/S0965542506110042
Bibliographic databases:
Document Type: Article
UDC: 519.652.3
Language: Russian
Citation: M. I. Grigor'ev, V. N. Malozemov, A. N. Sergeev, “Bernstein polynomials and composite Bézier curves”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006), 1962–1971; Comput. Math. Math. Phys., 46:11 (2006), 1872–1881
Citation in format AMSBIB
\Bibitem{GriMalSer06}
\by M.~I.~Grigor'ev, V.~N.~Malozemov, A.~N.~Sergeev
\paper Bernstein polynomials and composite B\'ezier curves
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 11
\pages 1962--1971
\mathnet{http://mi.mathnet.ru/zvmmf378}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304069}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 11
\pages 1872--1881
\crossref{https://doi.org/10.1134/S0965542506110042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845305509}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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