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The Plateau-Bézier Problem

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Mathematics of Surfaces

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2768))

Abstract

We study the Plateau problem restricted to polynomial surfaces using techniques coming from the theory of Computer Aided Geometric Design. The results can be used to obtain polynomial approximations to minimal surfaces. The relationship between harmonic Bézier surfaces and minimal surfaces with free boundaries is shown.

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References

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Author information

Authors and Affiliations

  1. Dpt. de Geometria i Topologia, Universitat de València, Avd. Vicent Andrés Estellés, 1, E-46100, Burjassot (València), Spain

    Juan Monterde

Authors
  1. Juan Monterde
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Leeds, P.O. Box, LS2 9JT, Leeds, UK

    Michael J. Wilson

  2. School of Computer Science, Cardiff University, Wales, UK

    Ralph R. Martin

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© 2003 Springer-Verlag Berlin Heidelberg

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Monterde, J. (2003). The Plateau-Bézier Problem. In: Wilson, M.J., Martin, R.R. (eds) Mathematics of Surfaces. Lecture Notes in Computer Science, vol 2768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39422-8_18

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  • DOI: https://doi.org/10.1007/978-3-540-39422-8_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20053-6

  • Online ISBN: 978-3-540-39422-8

  • eBook Packages: Springer Book Archive

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