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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 5, Pages 949–966 (Mi zvmmf4882)

This article is cited in 4 papers

Polar figure computation by a kernel method from a set of individual grain orientations on $SO(3)$

K. N. Roginskii, T. I. Savyolova

Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409 Russia

Abstract: The polar figures of materials are computed by a kernel method using a given sample of orientations on the group $SO(3)$. The computational errors are analyzed depending on recovery parameters, such as the sample size, regularization parameter, and the number of series terms taken into account in the computation. Numerical results and visual representations of polar figures are given for a model specimen with a texture described by a central normal distribution on $SO(3)$.

Key words: texture analysis, kernel method, grain orientation, orientation distribution function, polar figure, regularization parameter, error estimate.

UDC: 519.634

Received: 01.12.2009


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:5, 900–916

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