Iterative extrapolation algorithm for data reconstruction over sphere

Wen Zhang*, Rodney A. Kennedy, Thushara D. Abhayapala

*Corresponding author for this work

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

    17 Citations (Scopus)

    Abstract

    Given limited or incomplete measurement data on a sphere, a new iterative algorithm is proposed on how to extrapolate signal over the whole sphere. The algorithm is based on a priori assumption that the Fourier decomposition of the signal on the sphere has finite degree of spherical harmonic coefficients, that is, the signal is modelimited. The algorithm is a simple iteration involving only the spherical harmonic decomposition. It is proven that the algorithm converges to the original signal over observation region and the convergence rate is lower bounded by the largest eigenvalue of an associated Fredholm integral equation.

    Original languageEnglish
    Title of host publication2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
    Pages3733-3736
    Number of pages4
    DOIs
    Publication statusPublished - 2008
    Event2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP - Las Vegas, NV, United States
    Duration: 31 Mar 20084 Apr 2008

    Publication series

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

    Conference

    Conference2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
    Country/TerritoryUnited States
    CityLas Vegas, NV
    Period31/03/084/04/08

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