An Optimal-Dimensionality Sampling for Spin-s Functions on the Sphere
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Elahi, Usama; Khalid, Zubair; Kennedy, Rodney; McEwen, Jason
Description
For the representation of spin-s band-limited functions on the sphere, we propose a sampling scheme with optimal number of samples equal to the number of degrees of freedom of the function in harmonic space. In comparison to the existing sampling designs, which require ∼ 2L2 samples for the representation of spin-s functions band-limited at L, the proposed scheme requires No=L2-s2 samples for the accurate computation of the spin-s spherical harmonic transform (s-SHT). For the proposed sampling...[Show more]
Collections | ANU Research Publications |
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Date published: | 2018 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/307639 |
Source: | IEEE Signal Processing Letters |
DOI: | 10.1109/LSP.2018.2865676 |
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