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Title: High-resolution regional gravity field recovery from Poisson wavelets using heterogeneous observational techniques
Authors: Wu, Y
Luo, Z
Chen, W 
Chen, Y 
Keywords: GPS/leveling data
Poisson wavelets
Regional gravity field recovery
Tikhonov regularization
Issue Date: 2017
Publisher: Springer
Source: Earth, planets and space, 2017, v. 69, no. 1, 34 How to cite?
Journal: Earth, planets and space 
Abstract: We adopt Poisson wavelets for regional gravity field recovery using data acquired from various observational techniques; the method combines data of different spatial resolutions and coverage, and various spectral contents and noise levels. For managing the ill-conditioned system, the performances of the zero- and first-order Tikhonov regularization approaches are investigated. Moreover, a direct approach is proposed to properly combine Global Positioning System (GPS)/leveling data with the gravimetric quasi-geoid/geoid, where GPS/leveling data are treated as an additional observation group to form a new functional model. In this manner, the quasi-geoid/geoid that fits the local leveling system can be computed in one step, and no post-processing (e.g., corrector surface or least squares collocation) procedures are needed. As a case study, we model a new reference surface over Hong Kong. The results show solutions with first-order regularization are better than those obtained from zero-order regularization, which indicates the former may be more preferable for regional gravity field modeling. The numerical results also demonstrate the gravimetric quasi-geoid/geoid and GPS/leveling data can be combined properly using this direct approach, where no systematic errors exist between these two data sets. A comparison with 61 independent GPS/leveling points shows the accuracy of the new geoid, HKGEOID-2016, is around 1.1 cm. Further evaluation demonstrates the new geoid has improved significantly compared to the original model, HKGEOID-2000, and the standard deviation for the differences between the observed and computed geoidal heights at all GPS/leveling points is reduced from 2.4 to 0.6 cm. Finally, we conclude HKGEOID-2016 can be substituted for HKGEOID-2000 for engineering purposes and geophysical investigations in Hong Kong. [Figure not available: see fulltext.]
ISSN: 1343-8832 (print)
EISSN: 1880-5981
DOI: 10.1186/s40623-017-0618-2
Rights: © The Author(s) 2017.
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License(, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
This article Wu, Y., Luo, Z., Chen, W., & Chen, Y. (2017). High-resolution regional gravity field recovery from Poisson wavelets using heterogeneous observational techniques. Earth, Planets and Space, 69(1), 34 is available at
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