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Eine Methode zur Konstruktion von C1-Flächen zur Interpolation Unregelmässig Verteilter Daten

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Multivariate Approximation Theory II

Abstract

A method for the construction of an interpolating c1-surface through scattered data is described. It consists of triangulating the set of nodes and connecting piecewise cubic polynomials, defined over each triangle, interpolating the given data in the corners and matching the cubic polynomials and their normal derivatives on common edges. The method is global and needs no further information beyond the data.

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Literaturverzeichnis

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Author information

Authors and Affiliations

  1. Bereich Datenverarbeitung und Elektronik, Hahn-Meitner Institut für Kernforschung GmbH, Glienicker Str. 100, D-1000, Berlin 39, Germany

    Dr. Rita Schmidt

Authors
  1. Dr. Rita Schmidt
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Editor information

Editors and Affiliations

  1. Lehrstuhl für Mathematik I, Universität Siegen, Hölderlinstrasse 3, D-5900, Siegen, Germany

    Walter Schempp

  2. Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-7400, Tübingen, Germany

    Karl Zeller

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© 1982 Birkhäuser Verlag Basel

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Schmidt, R. (1982). Eine Methode zur Konstruktion von C1-Flächen zur Interpolation Unregelmässig Verteilter Daten. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 61. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7189-1_28

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  • DOI: https://doi.org/10.1007/978-3-0348-7189-1_28

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7191-4

  • Online ISBN: 978-3-0348-7189-1

  • eBook Packages: Springer Book Archive

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