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General Scheme for the Computation of Regional Geoid Undulations Using Spherical Wavelets

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Vertical Reference Systems

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 124))

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.

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© 2002 Springer-Verlag Berlin Heidelberg

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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

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  • 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

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