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Multiparameter Regularization in Downward Continuation of Satellite Data

In: Handbook of Geomathematics

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  • Shuai Lu

    (Austrian Academy of Sciences, Institute for Computational and Applied Mathematics)

  • Sergei V. Pereverzev

    (Austrian Academy of Sciences, Institute for Computational and Applied Mathematics)

Abstract

This chapter discusses the downward continuation of the spaceborne gravity data. We analyze the ill-posed nature of this problem and describe some approaches to its treatment. This chapter focuses on the multiparameter regularization approach and show how it can naturally appear in the geodetic context in the form of the regularized total least squares or the dual regularized total least squares, for example. The numerical illustrations with synthetic data demonstrate that multiparameter regularization can indeed produce a good accuracy approximation.

Suggested Citation

  • Shuai Lu & Sergei V. Pereverzev, 2015. "Multiparameter Regularization in Downward Continuation of Satellite Data," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, edition 2, pages 1689-1711, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-54551-1_27
    DOI: 10.1007/978-3-642-54551-1_27
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