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We develop a novel sampling theorem for functions defined on the three-dimensional rotation group SO(3) by connecting the rotation group to the three-torus through a periodic extension.
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Z. Khalid, S. Durrani, R. A. Kennedy, Y. Wiaux, and J. D. McEwen, “Gauss-legendre sampling on the rotation group,” IEEE Sig. Proc. Let., submitted , 2015
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