| Vanishing torsion of parametric curves |
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| 作者姓名： | JUHASZ Imre |
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| 作者单位： | Department of |
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| 基金项目： | Project (No. OTKA T 048523) supported by the Hungarian ScientificResearch Fund |
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| 摘 要： | We consider the class of parametric curves that can be represented by combination of control points and basis func- tions. 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.
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| 关 键 词： | 参数曲线 没影点 挠率 判别曲线 |
| 收稿时间： | 2006-09-20 |
| 修稿时间： | 2006-11-17 |
Vanishing torsion of parametric curves |
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| JUHASZ Imre.Vanishing torsion of parametric curves[J].Journal of Zhejiang University Science,2007,8(4):593-595. |
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| Authors: | Juhász Imre |
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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. |
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| Keywords: | Parametric curve Torsion Discriminant curve |
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