Details
| Original language | English |
|---|---|
| Title of host publication | A Window on the Future of Geodesy |
| Subtitle of host publication | Proceedings of the International Association of Geodesy IAG General Assembly Sapporo, Japan June 30 – July 11, 2003 |
| Editors | Fernando Sansò |
| Publisher | Springer Verlag |
| Pages | 368-373 |
| Number of pages | 6 |
| ISBN (print) | 9783540240556 |
| Publication status | Published - 2005 |
| Event | International Association of Geodesy, IAG 2003 - Sapporo, Japan Duration: 30 Jun 2003 → 11 Jul 2003 |
Publication series
| Name | International Association of Geodesy Symposia |
|---|---|
| Volume | 128 |
| ISSN (Print) | 0939-9585 |
| ISSN (electronic) | 2197-9359 |
Abstract
For the computation of high resolution regional geoid models, gravity and terrain data in connection with a global geopotential model play a very important role. The data sets are usually combined in a remove-restore procedure. In many cases, the transformation from gravity anomalies to geoid undulations is done using Stokes’s integration kernel or a modified integration kernel, e.g., based on the spectral combination technique. Least squares collocation may be used for this task as well, but for continental-scale computations the integration techniques are often preferred due to their high computational efficiency. Besides the classical integration techniques, the wavelet technique is investigated in this contribution. The wavelet technique also uses residual gravity field quantities in a remove-restore procedure. However, the computations are carried out in two steps. The first step consists of a convolution of the residual gravity data with several wavelet functions, being contracted or dilated variants of one prototype (“mother”) wavelet function. This leads to a decomposition of the whole spectrum of the original data into a set of filtered detail signals with unique spatial resolution. This type of space and frequency analysis is called multi-scale analysis (MSA). The second step then convolves the residual gravity details with an integration kernel (e.g., Stokes) and leads to corresponding geoid undulations. The second step, applied to every decomposed detail (scale) of the original data, corresponds to the classical integration techniques. In this contribution, both the classical integration and spherical wavelet techniques are applied using Europe as a test area. The differences in methodology and numerical performance of both techniques are investigated. Finally, the results are evaluated by independent GPS and levelling control points.
Keywords
- Multi-scale analysis, Spherical wavelets, Stokes
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Computers in Earth Sciences
- Earth and Planetary Sciences(all)
- Geophysics
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A Window on the Future of Geodesy : Proceedings of the International Association of Geodesy IAG General Assembly Sapporo, Japan June 30 – July 11, 2003. ed. / Fernando Sansò. Springer Verlag, 2005. p. 368-373 (International Association of Geodesy Symposia; Vol. 128).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Stokes Integration versus Wavelet Techniques for Regional Geoid Modelling
AU - Roland, Markus
AU - Denker, Heiner
N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 2005. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2005
Y1 - 2005
N2 - For the computation of high resolution regional geoid models, gravity and terrain data in connection with a global geopotential model play a very important role. The data sets are usually combined in a remove-restore procedure. In many cases, the transformation from gravity anomalies to geoid undulations is done using Stokes’s integration kernel or a modified integration kernel, e.g., based on the spectral combination technique. Least squares collocation may be used for this task as well, but for continental-scale computations the integration techniques are often preferred due to their high computational efficiency. Besides the classical integration techniques, the wavelet technique is investigated in this contribution. The wavelet technique also uses residual gravity field quantities in a remove-restore procedure. However, the computations are carried out in two steps. The first step consists of a convolution of the residual gravity data with several wavelet functions, being contracted or dilated variants of one prototype (“mother”) wavelet function. This leads to a decomposition of the whole spectrum of the original data into a set of filtered detail signals with unique spatial resolution. This type of space and frequency analysis is called multi-scale analysis (MSA). The second step then convolves the residual gravity details with an integration kernel (e.g., Stokes) and leads to corresponding geoid undulations. The second step, applied to every decomposed detail (scale) of the original data, corresponds to the classical integration techniques. In this contribution, both the classical integration and spherical wavelet techniques are applied using Europe as a test area. The differences in methodology and numerical performance of both techniques are investigated. Finally, the results are evaluated by independent GPS and levelling control points.
AB - For the computation of high resolution regional geoid models, gravity and terrain data in connection with a global geopotential model play a very important role. The data sets are usually combined in a remove-restore procedure. In many cases, the transformation from gravity anomalies to geoid undulations is done using Stokes’s integration kernel or a modified integration kernel, e.g., based on the spectral combination technique. Least squares collocation may be used for this task as well, but for continental-scale computations the integration techniques are often preferred due to their high computational efficiency. Besides the classical integration techniques, the wavelet technique is investigated in this contribution. The wavelet technique also uses residual gravity field quantities in a remove-restore procedure. However, the computations are carried out in two steps. The first step consists of a convolution of the residual gravity data with several wavelet functions, being contracted or dilated variants of one prototype (“mother”) wavelet function. This leads to a decomposition of the whole spectrum of the original data into a set of filtered detail signals with unique spatial resolution. This type of space and frequency analysis is called multi-scale analysis (MSA). The second step then convolves the residual gravity details with an integration kernel (e.g., Stokes) and leads to corresponding geoid undulations. The second step, applied to every decomposed detail (scale) of the original data, corresponds to the classical integration techniques. In this contribution, both the classical integration and spherical wavelet techniques are applied using Europe as a test area. The differences in methodology and numerical performance of both techniques are investigated. Finally, the results are evaluated by independent GPS and levelling control points.
KW - Multi-scale analysis
KW - Spherical wavelets
KW - Stokes
UR - http://www.scopus.com/inward/record.url?scp=84964038615&partnerID=8YFLogxK
U2 - 10.1007/3-540-27432-4_63
DO - 10.1007/3-540-27432-4_63
M3 - Conference contribution
AN - SCOPUS:84964038615
SN - 9783540240556
T3 - International Association of Geodesy Symposia
SP - 368
EP - 373
BT - A Window on the Future of Geodesy
A2 - Sansò, Fernando
PB - Springer Verlag
T2 - International Association of Geodesy, IAG 2003
Y2 - 30 June 2003 through 11 July 2003
ER -