Geodesic
Error estimates for kernel and projection methods of recovering the orientation distribution function on $\mathrm{SO}(3)$
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1087-1101 Cet article a éte moissonné depuis la source Math-Net.Ru

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The orientation density function is recovered from a sample of orientations on the rotation group $\mathrm{SO}(3)$ of the three-dimensional Euclidean space. Sufficient conditions for the consistency of kernel and projection estimates in $L_2$, $L_1$, and $C$ are considered. Numerical results concerning the error estimation of projection methods over the basis of generalized spherical functions are given for normal distributions on $\mathrm{SO}(3)$. 
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     title = {Error estimates for kernel and projection methods of recovering the orientation distribution function on $\mathrm{SO}(3)$},
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K. P. Aganin; T. I. Savyolova. Error estimates for kernel and projection methods of recovering the orientation distribution function on $\mathrm{SO}(3)$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1087-1101. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a11/

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