Fast Spherical/Harmonic Spline Modeling

Martin Gutting ()
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Martin Gutting: University of Siegen, Geomathematics Group

A chapter in Handbook of Geomathematics, 2015, pp 2711-2746 from Springer

Abstract: Abstract Spherical and harmonic splines are closely related approaches to solve interpolation/approximation as well as boundary value problems on the sphere and on regular (sphere-like) surfaces, respectively. In any case they lead to a system of linear equations which requires fast summation methods for the kernel sums. The fast multipole method achieves just that and is combined in this paper with a preconditioner using the same decomposition of the computational domain to solve the system of linear equations resulting from spherical/harmonic splines. Due to the localizing nature of splines, regional problems can also be treated with this approach.

Keywords: Interpolation Problem; Regular Surface; Fast Multipole Method; Spherical Spline; Multiplicative Variant (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-54551-1_47

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DOI: 10.1007/978-3-642-54551-1_47

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