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

Zubair Khalid*, Rodney A. Kennedy, Salman Durrani

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    Abstract

    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 dimensionality equal to that of equiangular scheme. We also propose optimisation of samples along longitude to further reduce the spatial dimensionality of equiangular, GL and efficient GL sampling schemes. Furthermore, we demonstrate that the accuracy of the SHT is not affected with the proposed reduction in the spatial dimensionality.

    Original languageEnglish
    Title of host publication2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages4531-4535
    Number of pages5
    ISBN (Electronic)9781509041176
    DOIs
    Publication statusPublished - 16 Jun 2017
    Event2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - New Orleans, United States
    Duration: 5 Mar 20179 Mar 2017

    Publication series

    NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
    ISSN (Print)1520-6149

    Conference

    Conference2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017
    Country/TerritoryUnited States
    CityNew Orleans
    Period5/03/179/03/17

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