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    Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation

    137781_20832_JOGE-D-09-00062revised.pdf (408.5Kb)
    Access Status
    Open access
    Authors
    Darbeheshti, Neda
    Featherstone, Will
    Date
    2010
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Darbeheshti, N. and Featherstone, W.E. 2010. Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation. Journal of Geodesy. 84 (7): 419-431.
    Source Title
    Journal of Geodesy
    DOI
    10.1007/s00190-010-0377-3
    ISSN
    09497714
    Faculty
    Department of Spatial Sciences
    Faculty of Science and Engineering
    WA School of Mines
    Remarks

    The original publication is available at : http://www.springerlink.com

    URI
    http://hdl.handle.net/20.500.11937/4551
    Collection
    • Curtin Research Publications
    Abstract

    This paper addresses implementation issues in order to apply non-stationary least-squares collocation (LSC) to a practical geodetic problem: fitting a gravimetric quasigeoid to discrete geometric quasigeoid heights at a local scale. This yields a surface that is useful for direct GPS heighting. Non-stationary covariance functions and a nonstationary model of the mean were applied to residual gravimetric quasigeoid determination by planar LSC in the Perth region ofWestern Australia. The non-stationarymodel of the mean did not change the LSC results significantly. However, elliptical kernels in non-stationary covariance functions were used successfully to create an iterative optimisation loop to decrease the difference between the gravimetric quasigeoid and geometric quasigeoid at 99 GPS-levelling points to a user-prescribed tolerance.

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