Robust estimation and optimal selection of polynomial parameters for the interpolation of GPS geoid heights |
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| Authors: | D Zhong |
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| Institution: | (1) Institute of Geodesy, Bundeswehr University Munich, D-85577 Neubiberg, Germany; Tel: +49 89 6004 2671; fax: + 49 89 6004 4090; e-mail: a91bzhon@rz.unibw-muenchen.de, DE |
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| Abstract: | The polynomial interpolation of least squares and interpolation moving least squares based on control stations with known
GPS (global positioning system) ellipsoidal heights and levelling orthometric heights are the most often used methods for
the interpolation of the geoid heights. But in their applications there occur two problems: one lies in selecting the suitable
polynomial parameters; the other in reducing the influences of some possibly abnormal data points. To solve both of the problems,
without emphasizing a sound theoretical basis, a heuristic solution with the help of robust estimation technique and optimization
criteria for the regression equation is presented. Through two actual numerical examples it is shown that the new solution
concept is efficient and can be realized easily on computers.
Received: 23 May 1996 / Accepted: 27 March 1997 |
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| Keywords: | , Polynomial interpolation,Robust estimation,GPS geoid heights,GPS levelling |
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