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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 6, Pages 1015–1028 (Mi zvmmf4598)  
This article is cited in 7 scientific papers (total in 7 papers)

Calculation of the orientation distribution function from a set of individual orientations on $\mathrm{SO}(3)$

T. I. Savyolova, M. V. Sypchenko

Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409, Russia
Full-text PDF (1471 kB) Citations (7)
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Abstract: Kernel and projection methods for recovering the density function on the rotation group $\mathrm{SO}(3)$ are considered. Numerical examples are presented in which the density function is estimated depending on the sample size, a smoothing parameter (in the case of kernel methods), the approximation kernel, and the error in the input data. A set of orientations is specified by normally distributed rotations on $\mathrm{SO}(3)$ derived by the Monte Carlo method.
Key words: projection methods for density function recovery, rotation group, calculation of a distribution function, Monte Carlo method.
Received: 18.12.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 6, Pages 970–982
DOI: https://doi.org/10.1134/S0965542507060085
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: T. I. Savyolova, M. V. Sypchenko, “Calculation of the orientation distribution function from a set of individual orientations on $\mathrm{SO}(3)$”, Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007), 1015–1028; Comput. Math. Math. Phys., 47:6 (2007), 970–982
Citation in format AMSBIB
\Bibitem{SavSyp07}
\by T.~I.~Savyolova, M.~V.~Sypchenko
\paper Calculation of the orientation distribution function from a set of individual orientations on $\mathrm{SO}(3)$
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 6
\pages 1015--1028
\mathnet{http://mi.mathnet.ru/zvmmf4598}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 6
\pages 970--982
\crossref{https://doi.org/10.1134/S0965542507060085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547274094}
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    • This publication is cited in the following 7 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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    Full-text PDF :292
    References:42
    First page:5
     
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