| 基于最小二乘的鲁棒线性拟和方法 |
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| 引用本文： | 杨志安. 基于最小二乘的鲁棒线性拟和方法[J]. 仪器仪表标准化与计量, 2008, 0(3): 15-17 |
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| 作者姓名： | 杨志安 |
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| 作者单位： | 北京城建集团,北京市,100080 |
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| 摘 要： | 本文给出了基于最小二乘法的鲁棒线性拟和方法。该方法利用了Oase Deletion Diagnostics思想和RANSAC方法，并给出了简化算法用于减少算法的计算量。该方法可解决现实应用中存在错误数据的情况下如何提高线性拟和精度。最后空间直线和空间平面拟和试验验证了本方法的有效性。
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| 关 键 词： | 最小二乘 鲁棒拟和 Oase DELETION Diagnostics RANSAC |
Robust Linear Fitting Algorithm Based on Least Square Method |
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| Yang Zhian. Robust Linear Fitting Algorithm Based on Least Square Method[J]. Instrument Standardization & Metrology, 2008, 0(3): 15-17 |
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| Authors: | Yang Zhian |
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| Affiliation: | Yang Zhian (Beijing Urban Construction Group, Beijing 100080) |
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| Abstract: | The methods are proposed to improve robustness of linear fitting algorithm based on the least square method. The proposed method uses the key concepts of Case Deletion Diagnostics and RANSAC. A simplified algorithm is given to reduce amount of calculation together with the method. The method can be used to improve precision of linear fitting in case of existing error data. At last fitting experiments for special line and special plane show the effectiveness of the methods. |
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| Keywords: | Least Square Robust Fitting Case Deletion Diagnostics RANSAC |
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