Bispectral techniques for spherical functions
- 1 January 1993
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 4 (15206149) , 216-219 vol.4
- https://doi.org/10.1109/icassp.1993.319633
Abstract
The authors address two problems involving spherical functions: determining when two spherical functions are 3-D rotated copies of each other; and averaging several noisy observations of a rotating spherical function. The solution to both problems uses the spherical bispectrum, which is the generalization of the well-known Euclidean bispectrum. The spherical bispectrum is formulated and it is shown that it is invariant under 3-D rotation of the underlying Gaussian noise. An algorithm for recovering spherical functions from their bispectra is demonstrated.Keywords
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