Modelling the earth's gravity field using wavelet frames

International Association of Geodesy Symposia

Volumn 129, Issue , 2005, Pages 48-53

  Panet, I ^a,b   Jamet, O ^a   Diament, M ^b   Chambodut, A ^b  

^a INSTITUT GÉOGRAPHIQUE NATIONAL   (France)

^b INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

Covariances; Frame; Multipoles; Spherical wavelets

Indexed keywords

SPHERES;

COVARIANCES; FRAME; LEAST-SQUARES COLLOCATION; MULTIPOLES; SATELLITE GRAVITY MISSIONS; SPHERICAL WAVELETS; STRUCTURE AND DYNAMICS; WAVELET-BASED REPRESENTATION;

WAVELET DECOMPOSITION;

EID: 84894307946     PISSN: 09399585     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/3-540-26932-0_9     Document Type: Article

References (13)

1. Albertella, A., Sanso, F. and Sneeuw, N., 1999. Bandlimited functions on a bounded spherical domain: the Slepian problem on the sphere. J. ofGeod., 73, 436-447.
2. Chambodut, A., Panet, L, Mandea, M., Diament, M., Jamet, O., Holschneider, M. Wavelet fi-ames: an alternative to the spherical harmonics representation of potential fields. Geophys. Journ. Int., submitted.
3. De Santis, A. and J.M. Torta, 1997. Spherical cap harmonic analysis: a comment on its proper use for local gravity field representation, J. ofGeod., 71, 526-532.
4. Freeden, W. T., Gervens and M. Schreiner, M., 1998. Constructive Approximation on the Sphere (With Applications to Geomathematics), Oxford Science Publication, Clarendon Press, Oxford.
5. Holschneider, M. A., Chambodut and M. Mandea, 2003. From global to regional analysis of the magnetic field on the sphere using wavelet frames, Phys. Earth Planet. Inter, 135, 107-124.
6. Hwang, Ch., 1993. Spectral analysis using orthonormal functions with a case study on the sea surface topography. Geoph. Journ. Int., 115, 1148-1160.
7. Kaula, W.M., 1966. Theory of satellite geodesy, Waltham, Blaisdell.
8. Kenner, H., 1976. Geodesic math and how to use it, Berleley CA: University of California Press.
9. Lemoine, KG. et al. 1998. The development of the joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) geopotential model EGM96. NASA/TP - 1998 - 206861, Greenbelt, Maryland.
10. Mallat, S., 1999. A wavelet tour of signal processing. Academic Press, 2nd edition.
11. Martelet, G., Sailhac, P, Moreau, F., Diament, M., 2001. Characterization of geological boundaries using ID wavelet transform on gravity data: Theory and application to the Himalayas. Geophysics, 66, 4, 1116-1129.
12. Moritz, H., 1989. Advanced physical geodesy, Karlsruhe:Wichmann, 2. ed.
13. Sailhac, P., Galdeano, A., Gibert, D., Moreau, F., Delor, C, 2000. Identification of sources of potential fields with the continuous wavelet transform: Complex wavelets and application to aeromagnetic profiles in French Guiana. J. Geophys. Res., 105, B8, 19455-19475.