Tomography: Problems and Multiscale Solutions

Volker Michel ()
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Volker Michel: University of Siegen, Geomathematics Group

A chapter in Handbook of Geomathematics, 2015, pp 2087-2119 from Springer

Abstract: Abstract In this chapter, a brief survey of three different approaches for the approximation of functions on the 3d-ball is presented: the expansion in an orthonormal (polynomial) basis, a reproducing kernel-based spline interpolation/approximation, and a wavelet-based multiscale analysis. In addition, some geomathematical tomography problems are discussed as applications.

Keywords: Gravity Field And Steady-state Ocean Circulation Explorer (GOCE); Inverse Gravimetric Problem; Normal Imaging Mode; Reproducing Kernel; Reproducing Kernel Hilbert Space (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_32

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DOI: 10.1007/978-3-642-54551-1_32

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