张杰等：基于T-scan测量的薄壁钣金件孔特征重构 ·923· 证对孔测量精度，薄壁圆孔直径范围在5~45mm内. 理.大地测量与地球动力学，2007,27(3)：28) [8]Li YS,Yang F,Yuan Z K.A detection method for 3D circle fit- 参考文献 ting.Sci Surveying Mapping.2013,38(6):147 (李英硕，杨帆，袁兆奎.空间圆形拟合检测新方法.测绘科 [1]Zhang C.Research of Digital Inspection Pre-planning Technology 学，2013,38(6)：147) for Feature of Aircraf Sheet Metal [Dissertation].Nanjing:Nan- [9]Zhu NN,Yao FF.Application of laser scan point cloud density jing University of Aeronautics and Astronautics,2014 setting.J Henan Univ Urban Construction,2014,23(1):63 (张川.飞机钣金特征数字化检测预处理技术研究[学位论 (朱宁宁，姚方芳.点云密度设置在激光扫描中的应用研究. 文].南京：南京航空航天大学，2014) 河南城建学院学报，2014,23(1)：63) [2]Zhou F Q.Zhang GJ,Jiang J.High accurate non-contact method [10]Liu S.Latest metrology technology and application of the laser for measuring geometric parameters of spatial circle.Chin Sci In- tracker in the digital age.Aeronautical Manufacturing Technol, tm,2004,25(5):604 2015(7):32 (周富强，张广军，江洁.空间圆几何参数的非接触高精度测 (刘霜.数字时代的跟踪仪最新测量技术与应用.航空制造 量方法.仪器仪表学报，2004,25(5)：604) 技术，2015(7)：32) [3]Liu Z Y,Jiang K Y,Lin J Y.Research on detection method of [11]Kalogerakis E,Nowrouzezahrai D,Simari P,et al.Extracting holes position for curved surface.Mech Sci Technol Aerospace Eng, lines of curvature from noisy point clouds.Comput Aided Des, 2015,34(7):1048 2009.41(4):282 (刘增艺，江开勇，林俊义.曲面孔位检测方法研究.机械科 [12]Guan Y L,Cheng X J,Shi G G.A robust method for fitting a 学与技术，2015,34(7)：1048) plane to point clouds.J Tongji Unir Nat Sci,2008.3(7):981 [4]Yang W,Chen J X,Li J S.Two-step spatial circle fitting method (官云兰，程效军，施贵刚.一种稳健的点云数据平面拟合 based on projection.J Eng Des,2009,16(2):117 方法.同济大学学报（自然科学版），2008,36(7)：981) (杨伟，陈家新，李济顺。基于投影的二阶段空间圆线拟合算 13]Chen Z H,Chen L,Ji H G.Geo-stress field fitting based on the 法.工程设计学报，2009.16(2)：117) partial least square method.J Univ Sci Technol Beijing,2013, [5]Xu B.Xi JT,Chen X B.High accurate stereo visio metrology for 35(1):1 geometric parameters of 3D-hole based on sub-pixel.Aeronautical (陈章华，陈磊，纪洪广.基于偏最小二乘法的地应力场拟 Computing Tech,2008,38(3):94 合.北京科技大学学报，2013,35(1)：1) (徐博，习俊通，陈晓波.基于亚像素的圆孔几何参数立体视 [14]Cross K J,MeBride J W.Lifton J J.The uncertainty of radius 觉高精度测量.航空计算技术，2008,38(3)：94) estimation in least-squares sphere-fitting,with an introduction to [6]Xu L,Oja E,Kultanen P.A new curve detection method:ran- a new summation based method.Precision Eng,2014,38(3): domized hough transform RHT).Pattern Recognit Lett,1990, 499 11(5):331 [15]Tian X,Li Q H.A new test method based on projection point for [7]Pan G R,Gu C,Shi GG.Test method and data processing for 3D 3D cireular fitting.Geotechnical Inrest Surveying,2014(5):72 circular object.J Geodesy Geodynamics,2007,27(3):28 (田晓，李全海。基于投影点的空间圆形拟合检测新方法 (潘国荣，谷川，施贵刚.空间圆形物体检测方法与数据处 工程勘察，2014(5)：72)张 杰等: 基于 T鄄鄄scan 测量的薄壁钣金件孔特征重构 证对孔测量精度,薄壁圆孔直径范围在 5 ~ 45 mm 内. 参 考 文 献 [1] Zhang C. Research of Digital Inspection Pre鄄planning Technology for Feature of Aircraft Sheet Metal [Dissertation]. Nanjing: Nan鄄 jing University of Aeronautics and Astronautics, 2014 (张川. 飞机钣金特征数字化检测预处理技术研究[学位论 文]. 南京: 南京航空航天大学, 2014) [2] Zhou F Q, Zhang G J, Jiang J. High accurate non鄄contact method for measuring geometric parameters of spatial circle. Chin J Sci In鄄 strum, 2004, 25(5): 604 (周富强, 张广军, 江洁. 空间圆几何参数的非接触高精度测 量方法. 仪器仪表学报, 2004, 25(5): 604) [3] Liu Z Y, Jiang K Y, Lin J Y. Research on detection method of holes position for curved surface. Mech Sci Technol Aerospace Eng, 2015, 34(7): 1048 (刘增艺, 江开勇, 林俊义. 曲面孔位检测方法研究. 机械科 学与技术, 2015, 34(7): 1048) [4] Yang W, Chen J X, Li J S. Two鄄step spatial circle fitting method based on projection. J Eng Des, 2009, 16(2): 117 (杨伟, 陈家新, 李济顺. 基于投影的二阶段空间圆线拟合算 法. 工程设计学报, 2009, 16(2): 117) [5] Xu B, Xi J T, Chen X B. High accurate stereo visio metrology for geometric parameters of 3D鄄hole based on sub鄄pixel. Aeronautical Computing Tech, 2008, 38(3): 94 (徐博, 习俊通, 陈晓波. 基于亚像素的圆孔几何参数立体视 觉高精度测量. 航空计算技术, 2008, 38(3): 94) [6] Xu L, Oja E, Kultanen P. A new curve detection method: ran鄄 domized hough transform (RHT). Pattern Recognit Lett, 1990, 11(5): 331 [7] Pan G R, Gu C, Shi G G. Test method and data processing for 3D circular object. J Geodesy Geodynamics, 2007, 27(3): 28 (潘国荣, 谷川, 施贵刚. 空间圆形物体检测方法与数据处 理. 大地测量与地球动力学, 2007, 27(3): 28) [8] Li Y S, Yang F, Yuan Z K. A detection method for 3D circle fit鄄 ting. Sci Surveying Mapping, 2013, 38(6): 147 (李英硕, 杨帆, 袁兆奎. 空间圆形拟合检测新方法. 测绘科 学, 2013, 38(6): 147) [9] Zhu N N, Yao F F. Application of laser scan point cloud density setting. J Henan Univ Urban Construction, 2014, 23(1): 63 (朱宁宁, 姚方芳. 点云密度设置在激光扫描中的应用研究. 河南城建学院学报, 2014, 23(1): 63) [10] Liu S. Latest metrology technology and application of the laser tracker in the digital age. Aeronautical Manufacturing Technol, 2015(7): 32 (刘霜. 数字时代的跟踪仪最新测量技术与应用. 航空制造 技术, 2015(7): 32) [11] Kalogerakis E, Nowrouzezahrai D, Simari P, et al. Extracting lines of curvature from noisy point clouds. Comput Aided Des, 2009, 41(4): 282 [12] Guan Y L, Cheng X J, Shi G G. A robust method for fitting a plane to point clouds. J Tongji Univ Nat Sci, 2008, 36(7): 981 (官云兰, 程效军, 施贵刚. 一种稳健的点云数据平面拟合 方法. 同济大学学报(自然科学版), 2008, 36(7): 981) [13] Chen Z H, Chen L, Ji H G. Geo鄄stress field fitting based on the partial least square method. J Univ Sci Technol Beijing, 2013, 35(1): 1 (陈章华, 陈磊, 纪洪广. 基于偏最小二乘法的地应力场拟 合. 北京科技大学学报, 2013, 35(1): 1) [14] Cross K J, McBride J W, Lifton J J. The uncertainty of radius estimation in least鄄squares sphere鄄fitting, with an introduction to a new summation based method. Precision Eng, 2014, 38(3): 499 [15] Tian X, Li Q H. A new test method based on projection point for 3D circular fitting. Geotechnical Invest Surveying, 2014(5): 72 (田晓, 李全海. 基于投影点的空间圆形拟合检测新方法. 工程勘察, 2014(5): 72) ·923·