Non-degenerate developable triangular bézier patches

  • Authors:
  • Alicia Cantón;Leonardo Fernández-Jambrina

  • Affiliations:
  • ETSI Navales, Universidad Politécnica de Madrid, Madrid, Spain;ETSI Navales, Universidad Politécnica de Madrid, Madrid, Spain

  • Venue:
  • Proceedings of the 7th international conference on Curves and Surfaces
  • Year:
  • 2010

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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.