Controlling torsion sign

E.I. Karousos, A.I. Ginnis, Panagiotis Kaklis

Research output: Contribution to journalArticlepeer-review


For all curve representations that adopt the control-point paradigm, we present a method for computing the domain, where a user-specified control point is free to move so that the corresponding spatial curve is regular and of constant sign of torsion along a subinterval of its parametric domain of definition. The method is illustrated for a Bézier and a B-spline curve. Furthermore, its utility for fairing curves under torsion-sign constraints in quadratic-programming context, is illustrated for a pair of Bézier curves. Finally, it is shown that the obtained results remain useful if, besides the user-selected free control point, neighboring ones are permitted to vary within convex polyhedra.
Original languageEnglish
Pages (from-to)396-411
Number of pages16
JournalComputer Aided Geometric Design
Issue number4
Publication statusPublished - May 2009


  • spatial curve
  • fairing
  • shape
  • torsion


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