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| Iterative method of camera distortion calibration utilizing lines-imaging characteristics |
| XU Song1,SUN Xiu-xia1,HE Yan2 |
1. Aeronautics and Astronautics Engineering College, Air Force Engineering University, Xi’an 710038, China;
2.College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China |
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Abstract A new method which can calibrate the image center and distort parameters of the non-metric camera was proposed, independent of a known imaging center which is fit for several different mono-parameter distortion models. This method is made up of following two parts. First, approximate calibration: the curves distorted from straight lines are closed by adding straight-line segments, and the area of those closed curves is computed. The approximate relationships between these areas with theirends and the distortion parameter with the center are elicited. Second, approaching by model reference: the approximate relationship is iteratively modified by the reference values of the curve areas and the undistorted end points, according to the distortion calibration, based on the endpoints of these curves and the current calibration. Thus, the distortion parameter and the center are iteratively approaching the real values. Simulations and real image tests show that this method can calibrate distortion exactly using only four imaging lines without known any cameras linear parameters, and convergent fast．
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Published: 10 June 2018
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利用直线段成像特性的摄像机畸变迭代标定方法
提出一种标定非量测摄像机成像中心和畸变参数的新方法,解决了不进行摄像机线性内外参数求解即可对多种单参数畸变模型进行标定的问题.该方法由两步组成：近似标定,添加直线与近似呈圆弧的直线段畸变成像形成闭合曲线,得出其闭合面积及端点与畸变参数及中心的近似关系；参考模型逼近,依据该闭合曲线端点及当前标定值,由畸变模型生成闭合曲线的参考面积值和曲线端点的无畸变成像位置,以此修正该近似关系,进而逼近准确的畸变中心与参数.仿真和真实图像实验均表明,该方法利用四条成像直线段即可实现高精度标定且收敛迅速.
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| ［1］ TSAI R-Y. A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses ［J］. IEEE Journal of Robotics and Automation, 1987, 3(4): 323-344．
［2］ ZHANG Zhen-you. Flexible camera calibration by viewing a plane from unknown orientations ［C］∥International Conference on Computer Vision (ICCV’99). Corfu, Greece:［s.n.］,1999: 666-673.
［3］ ZHANG Guang-jun, He Jun-ji, YANG Xian-ming. Calibrating camera radial distortion with cross-ratio invariability ［J］. Optics & Laser Technology, 2003, 35(5): 457-461．
［4］ DEVERNAY F, FAUGERAS O. Straight lines have to be straight: automatic calibration and removal of distortion from scenes of structured environments ［J］. Machine Vision and Applications Manuscript, 2001, 13(1): 14-24．
［5］ MOUMEN Ahmed, ALY Farag. Nonmetric calibration of camera lens distortion: differential methods and robust estimation ［J］. IEEE Transaction on Image Processing, 2005, 14(8): 1215-1230．
［6］ 周富强, 胡坤, 张广军. 基于共线特征点的摄像机镜头畸变校正［J］. 机械工程学报, 2006, 9(42): 174-177.
ZHOU Fu-qiang, HU Kun, ZHANG Guang-jun. Correction distortion of camera lens with collinear points［J］. Chinese Journal of Mechanical Engineering, 2006, 9(42): 174-177．
［7］ 周富强, 蔡斐华. 基于非量测畸变校正的摄像机标定方法［J］. 机械工程学报, 2009, 45(8): 228-232.
ZHOU Fu-qiang, CAI Fen-hua. Camera calibration method based on non-metric distortion correction［J］. Chinese Journal of Mechanical Engineering, 2009, 45(8): 228-232．
［8］ 贺俊吉, 张广军, 杨宪铭. 基于交比不变性的镜头畸变参数标定方法［J］. 仪器仪表学报, 2004, 25(5): 597-599．
HE Jun-ji, ZHANG Guang-jun, YANG Xian-ming. Approach for calibration of lens distortion based on cross ratio invariability［J］. Chinese Journal of Scientific Instrument, 2004, 25(5): 597-599．
［9］ 薛俊鹏, 苏显渝. 基于两个正交一维物体的单幅图像相机标定［J］. 光学学报, 2012, 32(1): 0115001, 1-7．
XUE Jun-peng, SU Xian-yu. Camera calibration with single image based on two orthogonal one-dimensional objects ［J］. Acta Optica Sinica, 2012, 32(1): 0115001, 1-7．
［10］ 张靖, 朱大勇, 张志勇. 摄像机镜头畸变的一种非量测校正方法［J］. 光学学报, 2008, 8(28): 1552-1557．
ZHANG Jin, ZHU Da-yong, ZHANG Zhi-yong. Non-metric calibration of camera lens distortion［J］. Acta Optica Sinica, 2008, 8(28): 1552-1557．
［11］ 陈天飞, 马孜, 李鹏，等. 一种基于非量测畸变校正的摄像机标定方法［J］. 控制与决策, 2012, 27(2): 243-247．
CHEN Tian-fei, MA Zi, LI Peng, et al. A camera calibration method based on non-metric distortion correction ［J］. Control and Decision 2012, 27(2): 243-247．
［12］ YONEYAMA S, KIKUTA H, KITAGAWA A, et al. Lens distortion correction for digital image correlation by measuring rigid body displacement ［J］. Optics and Lasers in Engineering, 2006, 45(2): 023602．
［13］ PAN Bing, YU Li-ping, WUA Da-fang, et al.Systematic errors in two-dimensional digital image correlation due to lens distortion［J］. Optics and Lasers in Engineering, 2013, 51: 140-147．
［14］ FITZGIBBON A W. Simultaneous linear estimation of multiple view geometry and lens distortion［C］∥ Proc of CVPR. Hawaii: IEEE , 2001: 125-132．
［15］ BROWN D C. Close-range camera calibration［J］. Photogrammetric Engineering, 1971, 37(8): 855-866．
［16］ JANNE H. Geometric camera calibration using circular control points ［J］. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2000, 22(10): 1066-1077．
［17］ CRAIG M Shakarji. Least-squares fitting algorithms of the NIST algorithm testing system［J］. Journal of Research of the National Institute of Standards and Technology, 1998, 103(6): 633-641. |
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