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Local spline interpolation schemes in one and several variables

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Approximation and Optimization

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1354))

Abstract

In the first part of this paper we briefly review some recent results pertaining to the construction of compactly supported fundamental functions for univariate Lagrange interpolation by splines. In the second part of the paper we discuss several possible extensions of these results to a multivariate setting.

Partially supported by NATO Travel Grant DJRG 639/84.

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References

  1. R.H. Bartels, J.C. Beatty, B.A. Barsky, An Introduction to the use of splines in Computer Graphics, SIGGRAPH Lecture Notes, San Francisco, 1985.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, 48 Bielefeld, West Germany

    W. Dahmen

  2. Department of Mathematics, University of Dundee, Dundee, Scotland

    T. N. T. Goodman

  3. Mathematical Sciences Department, IBM Thomas J. Watson Research Center, 10598, Yorktown Heights, New York

    Charles A. Micchelli

Authors
  1. W. Dahmen
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  2. T. N. T. Goodman
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  3. Charles A. Micchelli
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Editor information

Juan Alfredo Gómez-Fernandez Francisco Guerra-Vázquez Guillermo López-Lagomasino Miguel A. Jiménez-Pozo

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© 1988 Springer-Verlag

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Dahmen, W., Goodman, T.N.T., Micchelli, C.A. (1988). Local spline interpolation schemes in one and several variables. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089580

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  • DOI: https://doi.org/10.1007/BFb0089580

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50443-6

  • Online ISBN: 978-3-540-46005-3

  • eBook Packages: Springer Book Archive

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