Skip to main content

Anwendung der Spline-Funktionen zur Bearbeitung Geophysikalischer Messreihen

Part of the Lecture Notes in Mathematics book series (LNM,volume 501)

Abstract

Applications of natural spline functions to geophysical time series are discussed. These functions may be used to interpolate unavoidable gaps in the observations, and also to smooth data where commonly used methods are not applicable.

Empirically determined features of spline functions with different smoothing factors (weights) are given. An exemple of the use of bicubic splines in processing potential field data is also presented.

Keywords

  • Spline Function
  • Potential Field Data
  • Bicubic Spline
  • Geophysical Time Series
  • Bicubic Spline Interpolation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  • Anselone, P.MM. und P. J. Laurent: A general method for the construction of interpolating or smoothing spline functions. Num. Math. 12 (1968), 66–82

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Bhattacharyya, B.K.: Bicubic spline interpolation as a method for treatment of potential field data. Geophysics, 34, 3 (1969), 402–423

    CrossRef  Google Scholar 

  • Böhmer, K.: Spline-Funktionen. Stuttgart, Teubner 1974

    MATH  Google Scholar 

  • Flach, D., G. Jentzsch und O. Rosenbach: Interpolation and smoothing of tidal records by spline functions. Deutsche Geodät. Komm. Reihe B, 1975

    Google Scholar 

  • Greville, T. N. E.: Theory and application of spline functions. New York-London, Academic Press, 1969

    MATH  Google Scholar 

  • Lyche, T. and L. L. Schumaker: Computation of smoothing and interpolating natural splines via local bases. SIAM J. Num. Anal. 10 No. 6 (1973), 1027–1038

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Reinsch, C. H.: Smoothing by spline functions. Numer. Math. 10 (1967), 177–183

    CrossRef  MathSciNet  MATH  Google Scholar 

  • Reinsch, C. H.: Smoothing by spline functions II. Numer. Math. 16 (1971), 451–454.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Jentzsch, G., Lange, G., Rosenbach, O. (1976). Anwendung der Spline-Funktionen zur Bearbeitung Geophysikalischer Messreihen. In: Böhmer, K., Meinardus, G., Schempp, W. (eds) Spline Functions. Lecture Notes in Mathematics, vol 501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079743

Download citation

  • DOI: https://doi.org/10.1007/BFb0079743

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07543-1

  • Online ISBN: 978-3-540-38073-3

  • eBook Packages: Springer Book Archive