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Tomography: Problems and Multiscale Solutions

In: Handbook of Geomathematics

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  • Volker Michel

    (University of Siegen, Geomathematics Group)

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.

Suggested Citation

  • Volker Michel, 2015. "Tomography: Problems and Multiscale Solutions," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, edition 2, pages 2087-2119, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-54551-1_32
    DOI: 10.1007/978-3-642-54551-1_32
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