Tomography: Problems and Multiscale Solutions

Volker Michel
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Volker Michel: University of Siegen, Geomathematics Group

Chapter 32 in Handbook of Geomathematics, 2010, pp 949-972 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: Hilbert Space; Sobolev Space; Orthogonal Polynomial; Scaling Function; Summability Condition (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-3-642-01546-5_32

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