| 可展有理Bezier曲面的设计与修正 |
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| 引用本文： | 谢伟松,熊燕.可展有理Bezier曲面的设计与修正[J].天津大学学报(自然科学与工程技术版),2007,40(6):661-664. |
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| 作者姓名： | 谢伟松 熊燕 |
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| 作者单位： | 天津大学理学院 天津300072 |
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| 基金项目： | 天津大学-南开大学刘徽应用数学研究中心资助项目 |
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| 摘 要： | 通过构造与给定有理Bezier曲线形状相似的曲线,构造出可展曲面,从而提出了一种用于可展有理Bezier曲面的设计与修正方法.并进一步根据需要给出约束平面,对于与约束平面相交的曲面片,将被其所在的曲面族中的一个与约束平面相切或插值于约束平面边界的曲面片所取代.该方法不需要重新计算曲面的控制点和权因子,减少了计算量.修正后的曲面片不穿过约束平面,且仍为可展的曲面片.数值实验表明该方法简单、快速、有效.
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| 关 键 词： | 曲面设计 曲面修正 可展有理Bezier曲面 |
| 文章编号： | 0493-2137（2007）06-0661-04 |
| 修稿时间： | 2006-10-18 |
Design and Modification of Developable Rational Bezier Surfaces |
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| XIE Wei-song,XIONG Yan.Design and Modification of Developable Rational Bezier Surfaces[J].Journal of Tianjin University(Science and Technology),2007,40(6):661-664. |
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| Authors: | XIE Wei-song XIONG Yan |
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| Institution: | School of Sciences, Tianjin University, Tianjin 300072, China |
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| Abstract: | A method for design and modification of developable surfaces was presented by constructing a curve which was similar to the given rational Bezier curve.Furthermore,the constrained plane was given,and the surface patch which was intersected with the plane would be replaced with one of its surface family,which either was tangent to the plane or interpolated the point on its boundaries.The method did not need to calculate the new control points and their weights and then reduced the calculation.The modified surface would not intersect with the plane but would remain a developable surface.Numerical examples show that the method is simple,fast and efficient. |
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| Keywords: | design of surfaces modification of surfaces developable rational Bezier surfaces |
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