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31.
Freeden Willi Groten Erwin Michel Volker Arfa-Kaboodvand Kourosh 《Studia Geophysica et Geodaetica》2003,47(1):37-72
Harmonic wavelets are introduced within the framework of the Sobolev-like Hilbert space H of potentials with square-integrable restrictions to the Earth's (mean) sphere
R
. Basic tool is the construction of H-product kernels in terms of an (outer harmonics) orthonormal basis in H. Scaling function and wavelet are defined by means of so-called H-product kernels. Harmonic wavelets are shown to be building blocks that decorrelate geopotential data. A pyramid scheme enables fast computations. Multiscale signal-to-noise thresholding provides suitable denoising. Multiscale modelling of the Earth's anomalous potential from EGM96-model data is illustrated by use of bandlimited harmonic wavelets, i.e. Shannon and CP-wavelets. 相似文献
32.
Willi Czajka 《International Journal of Earth Sciences》1957,45(3):634-686
Zusammenfassung Verfasser tritt den Ansichten von V.Auer und P.Groeeer Über die pleistozäne Vereisung des extra-andinen Patagoniens bei. In N-Patagonien reichte in einer älteren Kaltzeit die Vereisung etwa bis zur Küste; in der extra-andinen Zone Mittelpatagoniens gab es zumindest sekundäre Vereisungszentren. Der Nachweis gründet sich auf beobachtete Deformationen der Patagonischen Geröllschichten durch Eisdruck. Diese Darlegungen sind mit einer Übersicht Über den bisherigen Forschungstand und die Besonderheiten der pleistozänen Vereisung Patagoniens sowie seiner geomorphologischen Verhältnisse verbunden. 相似文献
33.
Wavelet Modeling of Regional and Temporal Variations of the Earth’s Gravitational Potential Observed by GRACE 总被引:1,自引:0,他引:1
This work is dedicated to the wavelet modeling of regional and temporal variations of the Earth’s gravitational potential
observed by the GRACE (gravity recovery and climate experiment) satellite mission. In the first part, all required mathematical
tools and methods involving spherical wavelets are provided. Then, we apply our method to monthly GRACE gravity fields. A
strong seasonal signal can be identified which is restricted to areas where large-scale redistributions of continental water
mass are expected. This assumption is analyzed and verified by comparing the time-series of regionally obtained wavelet coefficients
of the gravitational signal originating from hydrology models and the gravitational potential observed by GRACE. The results
are in good agreement with previous studies and illustrate that wavelets are an appropriate tool to investigate regional effects
in the Earth’s gravitational field.
Electronic Supplementary Material Supplementary material is available for this article at 相似文献
34.
This paper deals with multiscale modeling of poloidal and toroidal fields such as geomagnetic field and currents. The wavelets
are developed from scale-dependent regularizations of the Green function with respect to the Beltrami operator. They are constructed
as to be locally compact, thus, allowing a locally reflected (zooming-in) reconstruction of the geomagnetic quantities. Finally,
a reconstruction algorithm is indicated in form of a tree algorithm. 相似文献