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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 11, Pages 1963–1972 (Mi zvmmf9569)  
This article is cited in 5 scientific papers (total in 5 papers)

Focal approximation on the complex plane

T. A. Rakcheeva

Institute of Engineering Science, Russian Academy of Sciences, Malyi Khariton’evskii per. 4, Moscow, 101990 Russia
Full-text PDF (290 kB) Citations (5)
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Abstract: The problem of analytic approximation of a smooth closed curve specified by a set of its points on the complex plane is proposed. An algorithmic method for constructing an approximating lemniscate is proposed and investigated. This method is based on a mapping of the curve to be approximated onto the phase circle; the convergence of the method is proved. The location of the lemniscate foci inside the curve provides the degrees of freedom for the focal approximation.
Key words: curves on the complex plane, approximation, basis, foci, ovals, lemniscates, shape, invariant, curve proximity criterion, algorithm, degrees of freedom, interactive control.
Received: 27.09.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 11, Pages 1847–1855
DOI: https://doi.org/10.1134/S0965542511110145
Bibliographic databases:
Document Type: Article
UDC: 519.674
Language: Russian
Citation: T. A. Rakcheeva, “Focal approximation on the complex plane”, Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011), 1963–1972; Comput. Math. Math. Phys., 51:11 (2011), 1847–1855
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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    Abstract page:247
    Full-text PDF :156
    References:51
    First page:9
     
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