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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (4): 593-595    DOI: 10.1631/jzus.2007.A0593
Information & Computer Science     
Vanishing torsion of parametric curves
JUHÁSZ Imre
Department of Descriptive Geometry, University of Miskolc, Miskolc-Egyetemváros H-3515, Hungary
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Abstract  We consider the class of parametric curves that can be represented by combination of control points and basis functions. A control point is let vary while the rest is held fixed. It’s shown that the locus of the moving control point that yields points of zero torsion is the osculating plane of the corresponding discriminant curve at its point of the same parameter value. The special case is studied when the basis functions sum to one.

Key words： Parametric curve      Torsion      Discriminant curve     
Received: 20 September 2006     
CLC:  TP391.72  
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JUHÁSZ Imre. Vanishing torsion of parametric curves. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(4): 593-595.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A0593     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I4/593

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