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Erschienen in:
2018 | OriginalPaper | Buchkapitel
Orthogonal Zonal, Tesseral, and Sectorial Wavelet Reconstruction
verfasst von : Willi Freeden, M. Zuhair Nashed, Michael Schreiner
Erschienen in: Spherical Sampling
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Functions describing geophysical quantities, such as the Earth’s gravitational or magnetic potential, the air pressure and wind field, the deformation field of the Earth’s crust, ocean circulation, etc., are significant sources of information in geosciences. For more than two centuries such quantities have been analyzed globally in spherical approximation by orthogonal (Fourier) expansions in terms of spherical harmonics. However, this approach is not efficiently and economically applicable to data sets of substantial local variation (an example is the modeling of the Earth’s gravitational potential for coastal areas of the Pacific ocean with the Andes). Furthermore, local changes and undulations of geodata as, e.g., caused by tectonic movements, seismic activities, ocean topography, climate changes, etc., unavoidably require the application of space localizing structures.