Abstract
Usually the geoid undulations are modelled by means of an expansion in terms of spherical harmonics. One of the most important disadvantages of this representation is the fact that local changes of the geoid affect all coefficients. Thus, an appropriate model of the geoid undulations may consist of an expansion in terms of spherical harmonics for the global low frequency part and a spherical wavelet expansion for the regional high frequency part of the geoid. This paper deals with a general scheme for the calculation of both the spherical wavelet coefficients for a space-and frequency-dependent representation of the gravity data and the computation of local geoid undulations by means of the inverse spherical wavelet transform.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Boumann, J. (1997): A Survey of Global Gravity Models. Delft Institute for Earth-Oriented Space Research, DEOS Report 97.1, Delft
Freeden, W., T. Gervens and M. Schreiner (1998): Constructive Approximation on the Sphere with Applications in Geomathematics. Clarendon Press, Oxford
Freeden, W. (1999): Multiscale Modelling of Space-borne Geodata. Teubner, Stuttgart
Schmidt, M. (2001): Grundprinzipien der Wavelet-Analyse und Anwendungen in der Geodäsie. Postdoctoral thesis, in press
Schneider, F. (1997): Inverse Problems in Satellite Geodesy and Their Approximate Solution by Splines and Wavelets. Shaker, Aachen
Windheuser, U. (1995): Sphärische Wavelets: Theorie und Anwendung in der Physikalischen Geodäsie. Doctoral thesis, University of Kaiserslautern
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Schmidt, M., Martínez, W., Florez, J. (2002). General Scheme for the Computation of Regional Geoid Undulations Using Spherical Wavelets. In: Drewes, H., Dodson, A.H., Fortes, L.P.S., Sánchez, L., Sandoval, P. (eds) Vertical Reference Systems. International Association of Geodesy Symposia, vol 124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04683-8_40
Download citation
DOI: https://doi.org/10.1007/978-3-662-04683-8_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07701-2
Online ISBN: 978-3-662-04683-8
eBook Packages: Springer Book Archive