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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 4, Pages 588–604
DOI: https://doi.org/10.7868/S0044466917020090 (Mi zvmmf10556) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the length preserving approximation of plane curves by circular arcs

A. I. Kurnosenko

Protvino, Moscow oblast, Russia
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DOI: https://doi.org/10.7868/S0044466917020090
Abstract: A technique for the length preserving approximation of plane curves by two circular arcs is analyzed. The conditions under which this technique can be applied are extended, and certain consequences of the proved results unrelated to the approximation problem are discussed. More precisely, inequalities for the length of a convex spiral arc subject to the given boundary conditions are obtained. Conjectures on curve closeness conditions obtained using computer simulation are discussed.
Key words: spiral curve, biarc curve, bilens, triarc curve, curve approximation, preservation of curve length, cochleoid, cycloid curves, closed curves.
Received: 19.01.2016
Revised: 10.06.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 4, Pages 590–606
DOI: https://doi.org/10.1134/S0965542517020087
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: A. I. Kurnosenko, “On the length preserving approximation of plane curves by circular arcs”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 588–604; Comput. Math. Math. Phys., 57:4 (2017), 590–606
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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