The 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 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.
Keywords kernel methods for crystal grain orientation estimation - error estimate for numerical algorithms - Monte Carlo method
Original Russian Text © T.I. Savyolova, M.V. Sypchenko, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi
Fiziki, 2009, Vol. 49, No. 5, pp. 879–890.