Splines in the approximation of geomagnetic fields and their transforms at the Earth's surface

Details Splines in the approximation of geomagnetic fields and their transforms at the Earth's surface Splines in the approximation of geomagnetic fields and their transforms at the Earth's surface

Apr 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012geoji.tmp..547n&link_type=abstract

Geophysical Journal International, Online Early

Physics

Fourier Analysis, Numerical Approximations And Analysis, Geomagnetic Induction, Magnetic Field

Scientific paper

Infinite 2-D splines of separated variables are a convenient tool to be used for approximation over a rectangle at the Earth's surface of geomagnetic field components and transfer functions obtained from measurement data in unevenly distributed nodes. The spline approximation derived in this manner makes it possible to numerically calculate 2-D Hilbert transforms and hence to reconstruct the magnetic tensor from tippers (induction vectors) by solving a large system of linear equations. The proposed method was tested on synthetic data and applied to the Carpathian region with the use of archival induction vectors collection.

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