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Spherical Harmonics, Splines, and Wavelets
This contribution substantially represents a geodetically relevant collection of particularly valuable material in the diverse approximation areas...
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Introductional Remarks
If we are interested in gaining a deeper understanding of a signal (signature) on the sphere, it is advantageous to study its space and frequency...
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Scalar Zonal Kernel Functions
To understand the transition from the theory of spherical harmonics to zonal kernel functions up to the Dirac kernel, we have to realize the relative...
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Spherical Harmonics, Splines, and Wavelets
Dieser Beitrag stellt eine geodätisch relevante Sammlung von besonders wertvollem Material in den diversen Approximationsgebieten dar, die mit...
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Gravimetric Measurements, Gravity Anomalies, Geoid, Quasigeoid: Theoretical Background and Multiscale Modeling
The methodical aspects of gravimetry are investigated from observational as well as mathematical/physical point of view. Local gravimetric data sets...
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From Newton’s Law of Gravitation to Multiscale Geoidal Determination and Ocean Circulation Modeling
The objective of this contribution is the documentation of the pioneer dimension of Newton’s work to demonstrate his mediating role between classical...
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Gravimetric Measurements, Gravity Anomalies, Geoid, Quasigeoid: Theoretical Background and Multiscale Modeling/Gravimetrische Messungen, Schwereanomalien, Geoid, Quasigeoid: Theoretischer Hintergrund und Multiskalenmodellierung
Die methodischen Aspekte der Gravimetrie werden sowohl in messtechnischer als auch mathematisch/physikalischer Hinsicht untersucht. Lokale...
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Satellite Gravitational Gradiometry: Methodological Foundation and Geomathematical Advances
Satellite Gravitational Gradiometry (SGG) is an observational technique of globally establishing the fine structure and the characteristics of the...
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Satellite Gravitational Gradiometry: Methodological Foundation and Geomathematical Advances/ Satellitengradiometrie: Methodologische Fundierung und geomathematische Fortschritte
Satellite Gravitational Gradiometry (SGG) is an observational technique of globally establishing the fine structure and the characteristics of the...
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From Newton’s Law of Gravitation to Multiscale Geoidal Determination and Ocean Circulation Modeling
Das Ziel dieses Beitrags ist die Dokumentation der bahnbrechenden Dimension der Arbeiten von Newton um seine Vermittlerrolle zwischen klassischer...
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GPS interactive time series analysis software
Time series analysis is an important part of geodetic and geodynamic studies, especially when continuous GPS observations are used to explore areas...
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Poloidal and Toroidal Field Modeling in Terms of Locally Supported Vector Wavelets
This paper deals with multiscale modeling of poloidal and toroidal fields such as geomagnetic field and currents. The wavelets are developed from...
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Classical globally reflected gravity field determination in modern locally oriented multiscale framework
The purpose of this paper is the canonical connection of classical global gravity field determination following the concept of Stokes (Trans Camb...
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Multiresolution tectonic features over the Earth inferred from a wavelet transformed geoid
Geoid signals give information about the underlying density structure and can be used to locate the source depth of the mass anomalies. Wavelet...
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Web-Based interrogation of large-scale geophysical data sets from handheld devices
This paper describes the issues related to using handheld devices to interrogate wirelessly large-scale geophysical data over the Web using a...
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An integrated wavelet concept of physical geodesy
For the determination of the earth's gravity field many types of observations are nowadays available, including terrestrial gravimetry, airborne...