Volume 32 Issue 09
Sep.  2006
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Zhang Xi, Hu Chunhua, Chen Wuyiet al. Quadratic surface fitting and uncertainty analysis of fitting parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(09): 1091-1095. (in Chinese)
Citation: Zhang Xi, Hu Chunhua, Chen Wuyiet al. Quadratic surface fitting and uncertainty analysis of fitting parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(09): 1091-1095. (in Chinese)

Quadratic surface fitting and uncertainty analysis of fitting parameters

  • Received Date: 20 Oct 2005
  • Publish Date: 30 Sep 2006
  • 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.

     

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  • [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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