Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation |
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Authors: | N Darbeheshti W E Featherstone |
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Institution: | 1. Western Australian Centre for Geodesy, The Institute for Geoscience Research, Curtin University of Technology, GPO Box U1987, Perth, 6845, Australia
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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 non-stationary model of the mean
were applied to residual gravimetric quasigeoid determination by planar LSC in the Perth region of Western Australia. The
non-stationary model 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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