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Improving the spatial dimensionality of Gauss-Legendre and equiangular sampling schemes on the sphere

Khalid, Zubair; Kennedy, Rodney; Durrani, Salman

Description

For the fast and exact computation of spherical harmonic transform (SHT) of a band-limited signal defined on the sphere from its samples, the Gauss-Legendre (GL) and equiangular sampling schemes on the sphere require asymptotically least number of samples. In comparison to the equiangular scheme, the GL scheme has larger spatial dimensionality, defined as the number of the samples required for the exact computation of SHT. In this work, we propose an efficient GL sampling scheme with spatial...[Show more]

CollectionsANU Research Publications
Date published: 2017-06-19
Type: Conference paper
URI: http://hdl.handle.net/1885/154825
DOI: 10.1109/ICASSP.2017.7953014
Access Rights: Open Access

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