On the Non-uniqueness of Gravitational and Magnetic Field Data Inversion (Survey Article)

DOI10.1007/978-3-319-57181-2_15zbMath1407.86019OpenAlexW2807799278MaRDI QIDQ3120076

Roger Telschow, Volker Michel, Sarah Leweke

Publication date: 1 March 2019

Published in: Handbook of Mathematical Geodesy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57181-2_15

Mathematics Subject Classification ID

Geodesy, mapping problems (86A30) Geo-electricity and geomagnetism (86A25) Research exposition (monographs, survey articles) pertaining to geophysics (86-02)

Related Items (4)

A greedy algorithm for nonlinear inverse problems with an application to nonlinear inverse gravimetry ⋮ Unique reconstruction of simple magnetizations from their magnetic potential ⋮ Theory of generalized discrepancies on a ball of arbitrary finite dimensions and algorithms for finding low-discrepancy point sets ⋮ Electro-magnetoencephalography for a spherical multiple-shell model: novel integral operators with singular-value decompositions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Special functions of mathematical (geo-)physics
• Geodetic boundary value problems in view of the one centimeter geoid
• Lectures on constructive approximation. Fourier, spline, and wavelet methods on the real line, the sphere, and the ball
• On the null space of a class of Fredholm integral equations of the first kind
• The definite non-uniqueness results for deterministic EEG and MEG data
• Wavelets on the 3-dimensional Ball
• A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods
• Electro-magneto-encephalography for a three-shell model: dipoles and beyond for the spherical geometry
• Exact Wavelets on the Ball
• On the non-uniqueness of the inverse MEG problem
• The unique determination of neuronal currents in the brain via magnetoencephalography
• Inversion method for magnetoencephalography
• Electro-magneto-encephalography for the three-shell model: numerical implementation via splines for distributed current in spherical geometry
• Electro-magneto-encephalography for the three-shell model: minimal L ² -norm in spherical geometry
• Splines on the three-dimensional ball and their application to seismic body wave tomography
• Theory of Reproducing Kernels
• Isotropic reproducing kernels for the inner of a sphere or spherical shell and their use as density covariance functions

This page was built for publication: On the Non-uniqueness of Gravitational and Magnetic Field Data Inversion (Survey Article)