| 变曲率对称圆弧曲线及其在圆弧样条拟合中的应用 |
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| 引用本文： | 郄胜强,王先逵. 变曲率对称圆弧曲线及其在圆弧样条拟合中的应用[J]. 计算机辅助设计与图形学学报, 2002, 14(3): 222-224 |
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| 作者姓名： | 郄胜强 王先逵 |
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| 作者单位： | 1. 北京大学遥感与地理信息系统研究所,北京,100871
2. 清华大学精密仪器与机械学系,北京,100084 |
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| 摘 要： | 针对数控加工的需要，对圆弧样条拟合曲线的形状进行局部修改和优化，提出了一种新的圆弧样条曲线的基本形式－变曲率对称圆弧曲线，并给出了其计算方法和具体应用，该方法可满足不同运算字长数控系统对拟合后圆弧样条曲线最大曲率半径的要求，同时还可满足随动控制加工对拟合曲率变动量的要求。
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| 关 键 词： | 数控机床 数控加工 变曲率对称圆弧曲线 圆弧样条拟合 |
| 修稿时间： | 2001-01-05 |
Symmetrical Variable Curvature Circular Arc Curve and Its Application in Circular Arc Spline Curve |
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| Qie Shengqiang ) Wang Xiankui ) ). Symmetrical Variable Curvature Circular Arc Curve and Its Application in Circular Arc Spline Curve[J]. Journal of Computer-Aided Design & Computer Graphics, 2002, 14(3): 222-224 |
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| Authors: | Qie Shengqiang ) Wang Xiankui ) ) |
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| Affiliation: | Qie Shengqiang 1) Wang Xiankui 2) 1) |
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| Abstract: | A new type of basic form of arc spline curve, namely symmetrical variable curvature circular arc (SVCCA) was developed to locally modify and optimize the profile of arc spline curve. Its calculation and practical application are described. By adopting SVCCA, both the maximum radius of curvature and the maximum difference of radii between adjacent arcs can meet the needs of computerized numerical control machining, especially computerized numerical follow up control machining. |
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| Keywords: | biarc spline curve interpolation CNC |
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