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International Conference on Curves and Surfaces

Curves and Surfaces 2010: Curves and Surfaces pp 207–219Cite as

Non-degenerate Developable Triangular Bézier Patches

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 6920)

Abstract

In this talk we show a construction for characterising developable surfaces in the form of Bézier triangular patches. It is shown that constructions used for rectangular patches are not useful, since they provide degenerate triangular patches. Explicit constructions of non-degenerate developable triangular patches are provided.

Keywords

  • Developable surfaces
  • triangular patches

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  • DOI: 10.1007/978-3-642-27413-8_13
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Author information

Authors and Affiliations

  1. ETSI Navales, Universidad Politécnica de Madrid, 28040, Madrid, Spain

    Alicia Cantón & Leonardo Fernández-Jambrina

Authors
  1. Alicia Cantón
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  2. Leonardo Fernández-Jambrina
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Editor information

Editors and Affiliations

  1. INRIA Sophia-Antipolis, 2004 Route des Lucioles, BP 93, 06902, Sophia Antipolis, France

    Jean-Daniel Boissonnat

  2. Laboratoire LJK, University Joseph Fourier, BP 53, 38420, Grenoble Cedex 9, France

    Patrick Chenin

  3. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4, Place Jussieu, 75005, Paris, France

    Albert Cohen

  4. Laboratoire de Mathématiques, INSA Rouen, Avenue de l’Université, 76800, St. Etienne du Rouvray, France

    Christian Gout

  5. University of Oslo, DMA, Blindern, P.O.Box 1053, 0316, Oslo, Norway

    Tom Lyche

  6. Laboratoire LJK, Université Joseph Fourier, BP 53, 38041, Grenoble Cedex 9, France

    Marie-Laurence Mazure

  7. Department of Mathematics, Vanderbilt University, 37240, Nashville, TN, USA

    Larry Schumaker

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Cantón, A., Fernández-Jambrina, L. (2012). Non-degenerate Developable Triangular Bézier Patches. In: , et al. Curves and Surfaces. Curves and Surfaces 2010. Lecture Notes in Computer Science, vol 6920. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27413-8_13

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  • DOI: https://doi.org/10.1007/978-3-642-27413-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27412-1

  • Online ISBN: 978-3-642-27413-8

  • eBook Packages: Computer ScienceComputer Science (R0)