| 逆向工程中NURBS曲面与直线交点快速计算 |
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| 引用本文： | 王保庆,张俐,李东升.逆向工程中NURBS曲面与直线交点快速计算[J].工程图学学报,2010,31(2). |
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| 作者姓名： | 王保庆 张俐 李东升 |
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| 作者单位： | 北京航空航天大学机械工程及自动化学院,北京,100191 |
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| 摘 要： | 给出了一个能够方便地判断NURBS曲面片与空间直线的交点个数,并且超线性收敛的快速迭代算法。计算Krawczyk算子判断给定的NURBS曲面片和空间直线有无交点和有几个交点。再使用拟牛顿迭代法求出NURBS曲面片和空间直线上的交点。该算法在用点云数据检测曲面重构的误差时具有快速、准确的特点。
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| 关 键 词： | 计算机应用 曲面与直线相交 NURBS曲面 Krawczyk算子 |
Rapid Calculation of Intersection Points between NURBS Surface and Line in Reverse Engineering |
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| WANG Bao-qing,ZHANG Li,LI Dong-sheng.Rapid Calculation of Intersection Points between NURBS Surface and Line in Reverse Engineering[J].Journal of Engineering Graphics,2010,31(2). |
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| Authors: | WANG Bao-qing ZHANG Li LI Dong-sheng |
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| Affiliation: | WANG Bao-qing; ZHANG Li; LI Dong-sheng(School of Mechanical Engineering and Automation; Beijing University of Aeronautics and Astronautics; Beijing 100191; China); |
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| Abstract: | Krawczyk operator is used to judge whether there are intersection points of a line with NURBS surface and the number of intersection points.Then the intersection points are solved by quasi-Newton method.The method is applied to verify the accuracy of free form reconstruction from point cloud data. |
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| Keywords: | computer application intersection of surface and line NURBS surface Krawczyk operator |
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