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    The Use of Second-Generation Wavelets to Combine a Gravimetric Quasigeoid Model with GPS-Levelling Data

    21005_21005.pdf (511.9Kb)
    Access Status
    Open access
    Authors
    Soltanpour, A.
    Nahavandchi, H.
    Featherstone, Will
    Date
    2006
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Soltanpour, A. and Nahavandchi, H. and Featherstone, W.E. 2006. The use of second-generation wavelets to combine a gravimetric quasigeoid model with GPS-levelling data. Journal of Geodesy. 80 (2): 82-93.
    Source Title
    Journal of Geodesy
    DOI
    10.1007/s00190-006-0033-0
    Faculty
    Division of Resources and Environment
    Department of Spatial Sciences
    Remarks

    The final publication is available at Springer via http://doi.org/10.1007/s00190-006-0033-0

    URI
    http://hdl.handle.net/20.500.11937/39267
    Collection
    • Curtin Research Publications
    Abstract

    The merging of a gravimetric quasigeoid model with GPS-levelling data using second-generation wavelets is considered so as to provide better transformation of GPS ellipsoidal heights to normal heights. Since GPS-levelling data are irregular in the space domain and the classical wavelet transform relies on Fourier theory, which is unable to deal with irregular data sets without prior gridding, the classical wavelet transform is not directly applicable to this problem. Instead, second-generation wavelets and their associated lifting scheme, which do not require regularly spaced data, are used to combine gravimetric quasigeoid models and GPS-levelling data over Norway and Australia, and the results are cross-validated. Cross-validation means that GPS-levelling points not used in the merging are used to assess the results, where one point is omitted from the merging and used to test the merged surface, which is repeated for all points in the dataset. The wavelet-based results are also compared to those from least squares collocation (LSC) merging. This comparison shows that the second-generation wavelet method can be used instead of LSC with similar results, but the assumption of stationarity for LSC is not required in the wavelet method. Specifically, it is not necessary to (somewhat arbitrarily) remove trends from the data before applying the wavelet method, as is the case for LSC. It is also shown that the wavelet method is better at decreasing the maximum and minimum differences between the merged geoid and the cross-validating GPS-levelling data.

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