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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 5, Pages 879–890 (Mi zvmmf4692)  
This article is cited in 3 scientific papers (total in 3 papers)

Error estimation of grain distribution function recovery for dependent orientations with allowance for grain sizes

T. I. Savyolova, M. V. Sypchenko

Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409, Russia
Full-text PDF (988 kB) Citations (3)
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Abstract: he effect of the kernel on the smoothing of orientations in a kernel method was studied, and the influence of dependent orientations and the grain sizes on the resulting distribution was analyzed. Discrete central normal distributions on the group $\mathrm{SO}(3)$ were smoothed by the kernel method. This problem is motivated by the development of experimental tools for studying the texture of polycrystalline materials, especially electron microscopy, which makes it possible to measure the orientations of individual grains.
Key words: kernel methods for crystal grain orientation estimation, error estimate for numerical algorithms, Monte Carlo method.
Received: 17.03.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 5, Pages 846–856
DOI: https://doi.org/10.1134/S0965542509050108
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: T. I. Savyolova, M. V. Sypchenko, “Error estimation of grain distribution function recovery for dependent orientations with allowance for grain sizes”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009), 879–890; Comput. Math. Math. Phys., 49:5 (2009), 846–856
Citation in format AMSBIB
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    • This publication is cited in the following 3 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:38
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