Abstract
Kernel and projection methods for recovering the density function on the rotation group 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 SO(3) derived by the Monte Carlo method.
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Original Russian Text © T.I. Savyolova, M.V. Sypchenko, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 6, pp. 1015–1028.
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Savyolova, T.I., Sypchenko, M.V. Calculation of the orientation distribution function from a set of individual orientations on SO(3). Comput. Math. and Math. Phys. 47, 970–982 (2007). https://doi.org/10.1134/S0965542507060085
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DOI: https://doi.org/10.1134/S0965542507060085