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Gauss-Legendre Sampling on the Rotation Group

Khalid, Zubair; Durrani, Salman; Kennedy, Rodney; Wiaux, Yves; McEwen, Jason D.


We propose a Gauss-Legendre quadrature based sampling on the rotation group for the representation of a band-limited signal such that the Fourier transform (FT) of a signal can be exactly computed from its samples. Our figure of merit is the sampling efficiency, which is defined as a ratio of the degrees of freedom required to represent a band-limited signal in harmonic domain to the number of samples required to accurately compute the FT. The proposed sampling scheme is asymptotically as...[Show more]

CollectionsANU Research Publications
Date published: 2015-08-14
Type: Journal article
Source: IEEE Signal Processing Letters, Vol. 23, No. 2, February 2016
DOI: 10.1109/LSP.2015.2503295
Access Rights: Open Access


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