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Multiresolution Analysis of Hydrology and Satellite Gravitational Data

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Abstract

We present a multiresolution analysis of temporal and spatial variations of the Earth’s gravitational potential by the use of tensor product wavelets which are built up by Legendre and spherical wavelets for the time and space domain, respectively. The multiresolution is performed for satellite and hydrological data, and based on these results we compute correlation coefficients between both data sets, which help us to develop a filter for the extraction of an improved hydrology model from the satellite data.

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Acknowledgements

The authors gratefully acknowledge the support by the German Ministry of Education and Research (BMBF) and German Research Foundation (DFG) within the R&D-Programme Geotechnologies Special Programme “Observation System Earth from Space”, 03F0424D, (publication number GEOTECH-317). We are also much obliged to GFZ Potsdam for providing us with all GRACE and WGHM data.

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Authors and Affiliations

  1. Geomathematics Group, University of Kaiserslautern, Kaiserslautern, Germany

    Helga Nutz & Kerstin Wolf

Authors
  1. Helga Nutz
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  2. Kerstin Wolf
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Corresponding author

Correspondence to Helga Nutz .

Editor information

Editors and Affiliations

  1. Geomathematics Group, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  2. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    M. Zuhair Nashed

  3. Computational Mathematics, Technische Universität Braunschweig, Braunschweig, Germany

    Thomas Sonar

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Nutz, H., Wolf, K. (2015). Multiresolution Analysis of Hydrology and Satellite Gravitational Data. In: Freeden, W., Nashed, M., Sonar, T. (eds) Handbook of Geomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54551-1_11

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