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Combination of GPS/leveling and the gravimetric geoid by using the thin plate spline interpolation technique via finite element method

  • Piroska Zaletnyik , Lajos Völgyesi , István Kirchner and Béla Paláncz
Published/Copyright: February 13, 2008
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Journal of Applied Geodesy
From the journal Volume 1 Issue 4

Abstract

The purpose of this paper is to develop an improved local geoid model for Hungary combining GPS and leveling height data with a local gravimetric geoid model, via corrector surface, which accounts for datum inconsistencies, long-wavelength geoid errors and vertical network distortions. The improved model is the so-called GPS-gravimetric geoid, which can be constructed by adding the corrector surface to the original gravimetric geoid. The corrector surface can be represented by means of a Thin Plate Spline Interpolation (TPSI) and finite element solution. In this work 194 GPS/leveling points with a local gravimetric geoid were used to calculate the corrector surface and the combined geoid model. To estimate the realistic error of the solution 110 GPS/ leveling points were used as external control points. Attention is called to the importance of the homogeneous distribution of the GPS/leveling data. The mean accuracy of geoid heights of the used 110 control stations was 1–2 cm after the surface fitting.

Received: 2007-May-10
Accepted: 2007-September-25
Published Online: 2008-02-13
Published in Print: 2007-12

© de Gruyter 2007

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