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Title of Journal: J Geodesy

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Abbravation: Journal of Geodesy

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Springer-Verlag

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DOI

10.1007/s10286-011-0119-5

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1432-1394

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Local Multiscale Modelling of Geoid Undulations fr

Authors: W Freeden M Schreiner
Publish Date: 2006/01/06
Volume: 79, Issue: 10-11, Pages: 641-651
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Abstract

This paper deals with the problem of determining a scalar spherical field from its surface gradient ie the modelling of geoid undulations from deflections of the vertical Essential tools are integral formulae on the sphere based on Green’s function of the Beltrami operator The determination of geoid undulations from deflections of the vertical is formulated as multiscale procedure involving scaledependent regularized versions of the surface gradient of Green’s function An advantage of the presented approach is that the multiscale method is based on locally supported wavelets In consequence local modelling of geoid undulations are calculable from locally available deflections of the vertical


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Other Papers In This Journal:

  1. Spherical integral formulas for upward/downward continuation of gravitational gradients onto gravitational gradients
  2. New versions of the BDS/GNSS zenith tropospheric delay model IGGtrop
  3. Alternative validation method of satellite gradiometric data by integral transform of satellite altimetry data
  4. Alternative validation method of satellite gradiometric data by integral transform of satellite altimetry data
  5. Earth’s gravity field modelling based on satellite accelerations derived from onboard GPS phase measurements
  6. Separation of global time-variable gravity signals into maximally independent components
  7. The effect on the geoid of lateral topographic density variations
  8. Atmospheric and oceanic forcing of the rapid polar motion
  9. Methodology and use of tensor invariants for satellite gravity gradiometry
  10. Precise orbit determination for the FORMOSAT-3/COSMIC satellite mission using GPS
  11. An absolute calibration site for radar altimeters in the continental domain: Lake Issykkul in Central Asia
  12. Thermosteric Effects on Interannual and Long-term Global Mean Sea Level Changes
  13. Application of SWACI products as ionospheric correction for single-point positioning: a comparative study
  14. Statistical modeling for the mitigation of GPS multipath delays from day-to-day range measurements
  15. On the double-peak spectrum of the Chandler wobble
  16. Basic equations for constructing geopotential models from the gravitational potential derivatives of the first and second orders in the terrestrial reference frame
  17. Bias in GRACE estimates of ice mass change due to accompanying sea-level change
  18. A new isostatic model of the lithosphere and gravity field
  19. Convex optimization under inequality constraints in rank-deficient systems
  20. On the deformation analysis of point fields

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