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Construction of Surfaces by Shape Preserving Approximation of Contour Data

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Advanced Course on FAIRSHAPE

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Abstract

We present a two-stage approach for the construction of surfaces from contour data. At first the contour curves are found using an algorithm for shape preserving least-square approximation of planar data by polynomial parametric spline curves. The obtained curves are then interpolated by tensor-product B-spline surfaces. The interpolation scheme used in the second step preserves the signs of the sectional curvature of the contours.

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Author information

Authors and Affiliations

  1. University of Dundee, UK

    Dr. Bert Jüttler

  2. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schloßgartenstr. 7, D-64289, Darmstadt, Germany

    Dr. Bert Jüttler

Authors
  1. Dr. Bert Jüttler
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Editor information

Editors and Affiliations

  1. University of Technology Darmstadt, Germany

    Josef Hoschek

  2. National Technical University of Athens, Greece

    Panagiotis D. Kaklis (Project-coordinator) (Project-coordinator)

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© 1996 B. G. Teubner Stuttgart

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Jüttler, B. (1996). Construction of Surfaces by Shape Preserving Approximation of Contour Data. In: Hoschek, J., Kaklis, P.D. (eds) Advanced Course on FAIRSHAPE. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-82969-6_17

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  • DOI: https://doi.org/10.1007/978-3-322-82969-6_17

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-519-02634-1

  • Online ISBN: 978-3-322-82969-6

  • eBook Packages: Springer Book Archive

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