Error Estimates for Kernel and Projection Methods of Recovering the Orientation Distribution Function on SO(3)

摘要

The orientation density function is recovered from a sample of orientations on the rotation group SO(3) of the three-dimensional Euclidean space. Sufficient conditions for the consistency of kernel and projection estimates inL_2, La1, nd 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 SO(3).