| 截面轮廓曲线分段约束拟合 |
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| 引用本文： | 胡魁贤,严宏志,朱自冰,杨振容,蒋燕英.截面轮廓曲线分段约束拟合[J].计算机工程与科学,2009,31(7). |
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| 作者姓名： | 胡魁贤 严宏志 朱自冰 杨振容 蒋燕英 |
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| 作者单位： | 1. 中南大学机电工程学院,湖南,长沙,410083
2. 中国航空动力机械研究所,湖南,株洲,412004 |
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| 基金项目： | 国家973计划资助项目 |
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| 摘 要： | 本文以线段和圆弧为逼近基元对封闭的截面曲线进行分段拟合,给出了曲线的拟合算法和逼近误差的分析表达式。在对截面曲线分界点进行迭代寻优后,得到了综合累积误差最小的分界点,并以此进行截面曲线的分段拟合;针对拟合所得的曲线,提出了具体的约束修正方法。通过实例分析表明,该算法简单有效,能较好地解决以线段和圆弧为基元的截面曲线拟合问题。
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| 关 键 词： | 曲线拟合 分界点 误差分析 几何约束 |
Fitting Planar Curves with Restraint Method |
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| HU Kui-xian,YAN Hong-zhi,ZHU Zi-bing,YANG Zhen-rong,JIANG Yan-ying.Fitting Planar Curves with Restraint Method[J].Computer Engineering & Science,2009,31(7). |
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| Authors: | HU Kui-xian YAN Hong-zhi ZHU Zi-bing YANG Zhen-rong JIANG Yan-ying |
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| Affiliation: | 1.School of Mechatronics Engineering;Central South University;Changsha 410083;2.China Aviation Dynamic Machinery Institute;Zhuzhou 412004;China |
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| Abstract: | Demarcation points from a curve with the least number of segments (lines and arcs) are extracted,and each of them can be fitted into a line or arc with the least errors.As a result,the method of curve fitting with geometric constraints is discussed.Finally,an example of cross-section reconstruction is given to show the method can represent well a curve with lines and arcs,and the algorithm is effective and robust. |
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| Keywords: | curve fitting demarcation points error analysis geometric constraints |
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