Degree elevation and developable Bézier surfaces

  • Authors:
  • Günter Aumann

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

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2004

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Abstract

An algorithm is presented that generates developable Bézier surfaces through a Bézier curve of arbitrary degree and shape, which interpolates prescribed corners and tangent planes along the boundary rulings. The control of singular points is guaranteed. The algorithm is based upon the algorithm of de Casteljau and the technique of degree elevation.