光学技术, 2019, 45 (4): 429, 网络出版: 2019-09-02  

基于凸壳理论圆域拟合的球面面型精度测量方法

Spherical surface accuracy measurement method based on convex shell theory circular domain fitting
作者单位
北京理工大学 光电学院 光学测量研究中心, 北京100081
引用该论文

许鑫, 王允, 王超峰, 张培杰. 基于凸壳理论圆域拟合的球面面型精度测量方法[J]. 光学技术, 2019, 45(4): 429.

XU Xin, WANG Yun, WANG Chaofeng, ZHANG Peijie. Spherical surface accuracy measurement method based on convex shell theory circular domain fitting[J]. Optical Technique, 2019, 45(4): 429.

参考文献

[1] 莫卫东. Zernike多项式拟合干涉面方法研究[J]. 高速摄影与光子学,1991,20(4):379-396.

    Mo Weidong. Research on zernike polynomial method for fitting interferometric surface[J]. High Speed Photography and Photonics,1991,20(4):379-396.

[2] Born M , Wolf E. Principles of optics[M]. Pergamon Press, New York,1959:464-466, 767-772.

[3] M K Hu. Modified zernike polynomials and their application to the analysis of fresnel region fields of circular apertures with nonuniform and nonsymmetric illumination[J]. Optical Society of America,1963,53(53):261-266.

[4] 苏晓蓓, 地面三维激光扫描标靶中心识别算法研究[J]. 城市勘测,2010 (3):68-70.

    Su Xiaobei. Study on the method identifying target center in ground 3D laser scanning[J]. Urban Geotechnical Investigation & Surveying,2010(3):68-70.

[5] Gonzalez J E. Emerging systems for large scale machine leraning[D]. Beijing:Proceedings of Tutorial on International Conference for Machine Learning(ICML),2014.

[6] 孙家广, 杨长贵. 计算机图形学 [M]. 北京:清华大学出版社,2008.

    Sun Jiaguang, Yang Changgui. Computer graphics[M]. Beijing:Tsinghua University Press,2008.

[7] Emo W. Smallest enclosing disks (balls and ellipsoids)[C]∥ Maurer H. (Ed.), New Results and New Trends in Computer Science, Lecture Notes in Computer Science,Heidelberg: Springer-Verlag,1991:350-370.

[8] Mark de Berg, Marc van Kreveld, Mark Overmars, et al.计算几何: 算法与应用(第2版)[M]. 邓俊辉译. 北京:清华大学出版社,2005:99-103.

    Mark de Berg, Marc van Kreveld, Mark Overmars, et al. Computational geometry: Algorithms and applications (version 2)[M]. Deng Junhui translation. Beijing: Tsinghua University Press, 2005:99-103

[9] 汪卫, 王文平, 汪嘉业. 求一个包含点集所有点的最小圆的算法[J]. 软件学报,2000,11(9):1237-1240.

    Wang Wei, Wang Wenping, Wang Jiaye. Find an algorithm that contains the smallest circle of all points in a point set[J]. Journal of Software,2000,11(9):1237-1240.

[10] Frank N, Richard N. A fast deterministic smallest enclosing disk approximation algorithm[J]. Information Processing Letters,2005,93(6):263-268.

[11] 陈明晶, 方源敏. 最小二乘法和迭代法圆曲线拟合[J]. 测绘科学2016,41(1):194-197.

    Chen Mingjing, Fang Minyuan. Fitting of circular curve based on least square method and iterative method[J]. Science of Surveying and Maping,2016,41(1):194-197.

[12] 何华, 李宗春. 基于凸包算法和抗差最小二乘法的激光扫描仪圆形标靶中心定位[J]. 测绘工程,2018,27(3):20-24.

    He hua, Li Zongchun. Center location of circular target for TLS based on convex hull algorithm and robust least squares algorithm[J]. Geomatics Engineering,2018,27(3):20-24.

[13] Graham, R L. An Efficient algorithm for determining the convex hull of a finite planar set[J]. Information Processing Letters,1972(1):132-133.

许鑫, 王允, 王超峰, 张培杰. 基于凸壳理论圆域拟合的球面面型精度测量方法[J]. 光学技术, 2019, 45(4): 429. XU Xin, WANG Yun, WANG Chaofeng, ZHANG Peijie. Spherical surface accuracy measurement method based on convex shell theory circular domain fitting[J]. Optical Technique, 2019, 45(4): 429.

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