A Fast Fourier Algorithm on the Rotation Group
نویسندگان
چکیده
In this paper we present an algorithm for the fast Fourier transform on the rotation group SO(3) which is based on the fast Fourier transform for nonequispaced nodes on the three-dimensional torus. This algorithm allows to evaluate the SO(3) Fourier transform of B-band-limited functions at M arbitrary input nodes in O(M +B3 logB) flops instead of O(MB3). Some numerical results will be presented establishing the algorithm’s numerical stability and time requirements.
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