A simple algorithm for designing developable Bézier surfaces

  • Authors:
  • Günter Aumann

  • Affiliations:
  • Mathematisches Institut II, Universität Karlsruhe, D-76128 Karlsruhe, Germany

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2003

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Abstract

An algorithm is presented that generates developable Bézier surfaces through a Bézier curve of arbitrary degree and shape. The algorithm has two important advantages. No (nonlinear) characterizing equations have to be solved and the control of singular points is guaranteed. Further interpolation conditions can be met.