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

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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 $\mathrm{SO}(3)$. 
@article{ZVMMF_2008_48_6_a11,
     author = {K. P. Aganin and T. I. Savyolova},
     title = {Error estimates for kernel and projection methods of recovering the orientation distribution function on $\mathrm{SO}(3)$},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1087--1101},
     publisher = {mathdoc},
     volume = {48},
     number = {6},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a11/}
}
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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/