Controlling torsion sign

Authors:
E. I. Karousos;A. I. Ginnis;P. D. Kaklis
Affiliations:
National Technical University of Athens, School of Naval Architecture & Marine Engineering;National Technical University of Athens, School of Naval Architecture & Marine Engineering;National Technical University of Athens, School of Naval Architecture & Marine Engineering
Venue:
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Year:
2008

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Abstract

We present a method for computing the domain, where a 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 approach encompasses all curve representations that adopt the control-point paradigm and is illustrated for a spatial Bézier curve.