Adding flexibility to piecewise quadratic curves and surfaces

Nira Gruberger, David Levin*, Charles K. Chui

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A simple method is presented for adding flexibility to quadratic Bézier curves. The new curve is also piecewise quadratic with a doubled number of quadratic segments, but with the same number of inflection points and the same number of possible curvature discontinuities. In the case of convex control polygon, the new curve can be designed to be G2. The generalization to surfaces is also presented.

Original languageEnglish
Pages (from-to)469-481
Number of pages13
JournalComputer Aided Geometric Design
Issue number5
StatePublished - Oct 1993


  • Bézier
  • G-continuity
  • bi-quadratic
  • curves
  • flexibility.
  • quadratic
  • surfaces


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