| 有理B样条曲线的形状修改方法 |
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| 引用本文： | 钟岷,赵庸. 有理B样条曲线的形状修改方法[J]. 航空学报, 1992, 13(6): 318-321 |
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| 作者姓名： | 钟岷 赵庸 |
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| 作者单位： | 北京航空航天大学飞机设计所 北京 100083 |
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| 摘 要： | 本文修正了均匀B样条曲线的定义,引入了左极限的概念来处理B样条函数在重节点处左连续阶降低的情况,通过补充适当的附加方程解决了重节点引起的插值方程的降秩问题。
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| 关 键 词： | 有理B样条曲线 形状 权因子 |
| 收稿时间： | 1990-08-27 |
| 修稿时间： | 1991-03-01 |
METHOD FOR SHAPE MODIFICATION OF RATIONAL B-SPLINE CURVES |
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| Zhong Min,Zhao Yong. METHOD FOR SHAPE MODIFICATION OF RATIONAL B-SPLINE CURVES[J]. Acta Aeronautica et Astronautica Sinica, 1992, 13(6): 318-321 |
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| Authors: | Zhong Min Zhao Yong |
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| Affiliation: | Institute of Airplane, Beijing University of Aeronautics and Astronamies, Beijing, 100083 |
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| Abstract: | The rational B-spline curves are developed for unity expression of the free curves and the taper curves. It is the same as multinomial of the B-spline curves. It is also an approached type and the visual geometry is fine. To adjust the control points can control the shape modification, at the same time, the weights of the every control points of rational B-spline curves provide a new way of the shape modification. But the potential of weights have not attracted special at-tention. In this paper, the method for shape modification of rational B-spline curves is presented. The combination of changing weight, moving control points, inserting knots are made for fast, reliable and very accurate shape handling. |
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| Keywords: | rational B-spline curve shape weight |
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