Realization of WHS based on gravity field models free of dependencies on local vertical datums

Róbert Čunderlík, Robert Tenzer, Karol Mikula

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

2 Citations (Scopus)


A realization of the World Height System (WHS) is usually performed on the basis of global geopotential models (GGMs). In this paper we test how reducing of a stripping noise of the satellite-only GGMs can improve their contribution to WHS. Our filtering approach is based on the nonlinear diffusion on a closed surface, namely on the Earth’s surface, using the regularized Perona–Malik model. The filtered GOCE_DIR2 is used to compute the geopotential on the DTU10mean sea surface obtained from altimetry and at the GNSS/Levelling points in Australia. In the second numerical experiment in New Zealand we present that modelling of the high-frequency part of the gravity field is practically inevitable for precise estimations of offsets of local vertical datums (LVDs). In order to get a numerical solution to the fixed gravimetric BVP in New Zealand we apply the boundary element method (BEM). Our goal is to get a local quasigeoid model not related to LVDs. Therefore we simulate 3D positions of available terrestrial gravimetric measurements using an iterative approach. The GNSS/Levelling test of the obtained BEM solution, EGM-2008 and NZGeoid09 national quasigeoid model shows how the different gravity field models can lead to different estimates of LVD offsets.
Original languageEnglish
Title of host publicationEarth on the Edge
Subtitle of host publicationScience for a Sustainable Planet - IAG General Assembly, Proceedings
PublisherSpringer Verlag
Number of pages9
ISBN (Electronic)9783642372216
Publication statusPublished - 1 Jan 2014
Externally publishedYes
EventInternational Association of Geodesy Symposia, IAG 2011 - , Austria
Duration: 28 Jun 20112 Jul 2011


ConferenceInternational Association of Geodesy Symposia, IAG 2011


  • Fixed gravimetric boundary value problem
  • Nonlinear diffusion filtering
  • Offsets of local vertical datums
  • Satellite geopotential models
  • World height system

ASJC Scopus subject areas

  • Computers in Earth Sciences
  • Geophysics


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