Titlebook: Decorrelative Mollifier Gravimetry; Basics, Ideas, Conce Willi Freeden Book 2021 The Editor(s) (if applicable) and The Author(s), under exc

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切掉

https://doi.org/10.1007/978-3-658-44000-8This chapter recapitulates classical results of potential theory as far as they are significant for the understanding of the book.

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Empirische Befunde: EntwicklungsprodukteThis chapter deals with the multi-scale context using mollifier Newton potentials corresponding to Haar-type Dirac sequences. Haar-wavelet based decorrelation of both mass density and potential data are investigated; signal-to-noise ratio is studied in multi-scale mollifier framework.

Delirium

https://doi.org/10.1007/978-3-658-44000-8This chapter deals with geodetic boundary value problems with the aim to introduce central terms of gravimetric exploration, such as disturbing potential, gravity anomaly, gravity disturbance, deflection of the vertical, etc.

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https://doi.org/10.1007/978-3-658-01190-1This chapter discusses inverse gravimetry as an ill-posed problem in Newtonian potential theory. It is shown that all criteria of Hadamard’s classification are violated for terrestrial data. Consequently, inverse gravimetry is considered “too ill-posed” to use regularization techniques other than mollifier regularization.

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