二次曲面拟合与拟合参数不确定度分析

张曦; 胡春华; 陈五一

二次曲面拟合与拟合参数不确定度分析

北京航空航天大学机械工程及自动化学院, 北京 100083

详细信息

中图分类号: TB 92
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出版历程
- 收稿日期: 2005-10-20
- 网络出版日期: 2006-09-30

Quadratic surface fitting and uncertainty analysis of fitting parameters

School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 由离散点进行二次曲面拟合问题可归结为存在约束条件的非线性优化问题,在总结了拟合参数初值计算和优化算法的基础上,研究了点位的坐标测量误差对拟合参数和曲面轮廓度评价的影响.给出了评价二者不确定度的解析方法和Monte-Carlo模拟方法,并指出,对于实际的测量数据,只有采用Monte-Carlo模拟方法进行拟合参数和轮廓度的不确定度评价才是可靠的.仿真实验和实物测量实验表明,给出的二次曲面拟合方法和不确定度估计方法是正确的.
- 二次曲面 /
- 拟合算法 /
- 不确定度分析
Abstract: The quadric surface fitting through cloud points was described as the constrained nonlinear optimization. The calculation of initial fitting parameters and optimization algorithm were summarized, and then the influence of point coordinate measurement error on fitting parameters and evaluation of surface contour was researched. The methods to assess their uncertainty through analysis and Monte-Carlo simulation were discussed. It was found that the uncertainty of fitting parameters and surface contour could be evaluated reliably only through Monte-Carlo simulation for measurement data from actual surfaces. The simulation and actual measurement experiments were conducted, which suggested that the methods of quadric surface fitting and uncertainty assessment presented be correct.
- quadratic surfaces /
- fitting algorithm /
- uncertainty analysis

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参考文献(1)

[1] 王解先,陈俊平,张春艳. 椭球曲面的拟合[J]. 同济大学学报,2004,32(1):82-85 Wang Jiexian, Chen Junping, Zhang Chunyan. Fitting of ellipsoidal surface[J]. Journal of Tongji University, 2004,32(1):82-85(in Chinese) [2] 于来发,付子傲. 大型抛物面天线精密校准测量自动化和精度[J]. 测绘学报,1992,21(4):284-290 Yu Laifa, Fu Ziao. Automation and accuracy of precise calibration survey for large paraboloid antenna[J]. Acta Geodaetica et Cartographica Sinica, 1992, 21(4):284-290(in Chinese) [3] Dai M, Newman T S. Hyperbolic and parabolic quadric surface fitting algorithms-comparison between the least squares approach and the parameter optimization approach . 1998-02 http://www.cs.uah.edu/tech-reports/TR-UAH-CS-pdf [4] 李宗春,李广云,金超. 面天线检测数据处理方法的探讨[J]. 宇航计测技术,2003,23(2):12-19 Li Zongchun, Li Guangyun, Jin Chao. On the data processing methods of surface antenna′s calibration[J]. Journal of Astronautic Metrology and Measurement, 2003,23(2):12-19(in Chinese) [5] 陈继华,李广云. 离散点抛物面拟合的算法研究[J]. 无线电工程,2005,35(4):32-34,43 Chen Jihua, Li Guangyun. On the algorithm of paraboloid-fitting [J]. Radio Engineering, 2005, 35(4):32-34,43(in Chinese) [6] ISO. Guide to the expression of uncertainty in measurement[M]. Geneva:ISO, 1993 [7] Wilhelm R G, Hocken R, Schwenke H. Task specific uncertainty in coordinate measurement [J]. Annals of the CIRP,2001,50(2):553-563 [8] Trapet E, Wldele F. The virtual CMM concept Advanced Mathematical Tools in MetrologyⅡ. Singapore:World Scientific, 1996:238-247

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