Regional geoid undulations from CHAMP, represented by locally supported basis functions

Earth Observation with CHAMP: Results from Three Years in Orbit

Volumn , Issue , 2005, Pages 230-236

  Mautzl, Rainer ^a,b   Schaffrin, Burkhard ^a   Shum, C K ^a   Han, Shin Chan ^a  

^a OHIO STATE UNIVERSITY   (United States)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

B spline wavelets; geoid undulations; multi quadrics; nonlinear models

Indexed keywords

EID: 84895230562     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/3-540-26800-6_37     Document Type: Chapter

References (18)

1. Barthelmes F (1986) On the approximation of the outer earth gravity field by point masses with optimised positions (in German). Veröffentlichungen des Zentralinstitut für Physik der Erde, 92, Potsdam, Germany.
2. Chui CK, Quak E (1992) Wavelets on a bounded interval. in: Braess D, Schumaker L, eds, Numerical Methods in Approximation Theory, Vol 9:53-77.
3. Franke R (1982) Scattered data interpolation: Tests of some methods. Math Comps 38(157):181-199.
4. Grafarend E, Schaffrin B (1993) Adjustment Computations in Linear Models (in German), Bibliograph. Inst., Mannheim, Germany.
5. Hales S, Levesley J (2000) Multi-level approximation to scattered data using inverse multiquadrics. in: Cohen A, Rabut C, Schumaker L, eds, Curve and Surface Fitting: Saint-Malo 1999, Vanderbilt University Press, Nashville/TN: 247-254.
6. Han S-C, Jekeli C, Shum CK (2002) Efficient gravity field recovery using in-situ disturbing potential observables from CHAMP. Geophys Res Letters 29(16):36-41.
7. Han S, Shum CK, Jekeli C, Braun A, Chen Y, Kuo C (2003) CHAMP mean and temporal gravity field solutions and geophysical constraint studies. 2nd CHAMP Sci Meeting, GeoForschungsZentrum (GFZ), Potsdam, Sept 2003.
8. Hardy R (1971) Multiquadric equations of topography and other irregular surfaces. J Geophys Res 76:1905-1915.
9. Hardy R, Göpfert W (1975) Least-squares prediction of gravity anomalies, geoidal undulations, and deflections of the vertical by multiquadric harmonic functions. Geophys Res Letters 2(10):423-426.
10. Kaschenz J (2002) Multidimensional spectral analysis with problem-oriented frequencies (in German). Diploma Thesis; Inst of Astronomical, Physical and Math Geodesy, Technical University of Berlin, Germany.
11. Kaschenz J (2003) Data modelling using various frequency series (in German). Z für Vermessungswesen (ZfV) 128(4):260-265.
12. Mautz R (2001) On the determination of frequencies in time series solving nonlinear adjustment problems (in German). German Geodetic Comm, C-532, Munich, Germany.
13. Mautz R (2002) Solving nonlinear adjustment problems by global optimization. Bollettino di Geodesia e Scienze Affini 61(2):123-134.
14. Mautz R, Schaffrin B, Schmidt M, Shum CK (2002) Representation of spatial functions in geodesy using B-spline wavelets with compact support. Proc of the Heiskanen Symposium in Geodesy (Jekeli C, Shum CK, eds), Columbus/Ohio, Oct. 2002.
15. Mautz R, Schaffrin B, Kaschenz J (2003) Biharmonic spline wavelets versus generalized multi-quadrics for continuous surface representations. IUGG General Assembly, IAG-Symp G4, Sapporo, Japan, July 2003.
16. Schaffrin B, Mautz R, Shum CK, Tseng HZ (2003) Towards a spherical pseudo-wavelet basis for geodetic applications. Computer-Aided Civil and Infrastructure Engineering 18(5):369-378.
17. Schmidt M, Fabert O, Shum CK (2002) Multi-resolution representation of the gravity field using spherical wavelets. Proc of the Heiskanen Symposium in Geodesy (Jekeli C, Shum CK, eds.), Columbus/Ohio, Oct. 2002.
18. Stollnitz E, DeRose T, Salesin D (1996) Wavelets for Computer Graphics. M Kaufmann, San Francisco/CA.