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国防科技大学 光电科学与工程学院,湖南 长沙 410073
收稿日期:2010-07-28,
修回日期:2010-08-25,
网络出版日期:2011-04-26,
纸质出版日期:2011-04-26
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胡峰, 胡春生, 王省书, 焦宏伟. 成像激光雷达与摄像机外部位置关系的标定[J]. 光学精密工程, 2011,19(4): 938-943
HU Feng, HU Chun-sheng, WANG Xing-shu, JIAO Hong-wei. Calibration of external relation between imaging laser radar and camera[J]. Editorial Office of Optics and Precision Engineering, 2011,19(4): 938-943
胡峰, 胡春生, 王省书, 焦宏伟. 成像激光雷达与摄像机外部位置关系的标定[J]. 光学精密工程, 2011,19(4): 938-943 DOI: 10.3788/OPE.20111904.0938.
HU Feng, HU Chun-sheng, WANG Xing-shu, JIAO Hong-wei. Calibration of external relation between imaging laser radar and camera[J]. Editorial Office of Optics and Precision Engineering, 2011,19(4): 938-943 DOI: 10.3788/OPE.20111904.0938.
为了确定成像激光雷达与摄像机两种不同传感器的相互位置参数
建立两者的一一映射关系
在现有激光雷达与摄像机外部参数标定方法的基础上
通过引入奇异值分解技术
对现有标定算法进行了改进。首先
介绍了改进标定算法的基本原理
采用奇异值分解方法求解超定方程组
得到成像激光雷达坐标系与摄像机坐标系之间的投影变换矩阵。为了降低噪声影响
使用非线性优化算法优化初值。然后
利用自制的立体标定靶进行了标定实验
并使用已标定出的结果对成像激光雷达图像和摄像机图像进行了融合实验来验证提出的标定算法。实验结果表明
该算法平均标定精度达到13.33 m
标准差为7.49 m
比原始算法提高了1倍
基本满足图像融合对标定精度的一般要求。
In order to determine the position parameters between an imaging laser radar and a camera and to establish the mapping relation between them
an improved calibration method was proposed based on Singular Value Decomposition (SVD) and present calibration arithmetics. Firstly
the calibration principle was introduced
then the SVD was used to solve overdetermined equations to obtain the projective transformation matrixes of laser radar coordinates and camera coordinates. To reduce the influence of noise
the initial result was optimized with the Levenberg-Marquardt algorithm. Then
the calibration experiments were carried out with a 3D calibration object and the image fusion experiment was performed according to the calibration result to validate the improved calibration arithmetic. Experimental results indicate that the average calibration precision of the arithmetic is 13.33 m and the standard error is 7.49 m
which is doubled that of the original arithmetic. The precision of the improved calibration arithmetic can meet the requirement of image fusion.
XAVIER B, FRANCOIS G, MINES P, et al.. Modeling and calibration of coupled fish-eye CCD camera and laser range scanner for outdoor environment reconstruction . 3DIM of IEEE, 2007:2939-2943.[2] 张大勇,吴文启,吴美平. 机载激光雷达系统标定方法[J]. 光学 精密工程,2009,17(11):2806-2812. ZHANG D Y, WU W Q, WU M P. Calibration technology of airborne lidar[J]. Opt. Precision Eng., 2009,17(11):2806-2812.(in Chinese)[3] GANHUA L, YUNHUI L, LI D, et al.. An algorithm for extrinsic parameters calibration of a camera and a laser range finder using line features . Proceedings of the 2007 IEEE/RSJ International Conferece on Intelligent Robots and Systems, 2007,8:3854-3859.[4] QILONG Z, ROBERT P. Extrinsic calibration of a camera and laser range finder[J]. IEEE International Conference on Intelligent Robots and Systems, 2004,3:2301-2306.[5] 陈远,赵志敏,陈震. 激光雷达和CCD外部标定方法的改进及其应用研究[J]. 应用激光,2008, 28(3):219-223. CHEN Y, ZHAO ZH M, CHEN ZH. The Improvement of Extrinsic Calibration of Laser Rangefinder with CCD and its Applications[J].Applied Laser, 2008,28(3):219-223.(in Chinese)[6] FLORIAN S, INGO B, ECKEHARD S. Joint calibration of a camera triplet and laser rangefinder . ICME of IEEE,2008,6:1201-1204.[7] SERGIO A, RODRIGUEZ F, VINCENT F, et al.. Extrinsic Calibration between a Multi-Layer Lidar and a Camera . Proceedings of IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems, 2008,2:214-219.[8] 项志宇,郑路. 摄像机与3D激光雷达联合标定的新方法[J]. 浙江大学学报(工学版),2009,43(8):1401-1405. XIANG ZH Y, ZHENG L. Novel joint calibration method of camera and 3D laser range finder[J].Journal of Zhejiang University (Engineering Science), 2009,43(8):1401-1405.(in Chinese)[9] 林鸿生,胡春生. 三维成像激光雷达图像与摄像机图像的融合[J]. 内燃机与动力装置,2009,6(s):1-4. LIN H SH, HU CH SH. Image Fusion of the Camera and the Imaging Ladar[J]. I.C.E&Powerplant, 2009,6(s):1-4.(in Chinese)[10] 刘国忠,王伯雄,史辉,等. 足部三维测量系统中CCD传感器的全局标定[J]. 光学 精密工程, 2007,15(7):1124-1129. LIU G ZH, WANG B X, SHI H, et al.. Global calibration of CCD cameras in measurement system for 3-D foot shapes[J]. Opt. Precision Eng., 2007,15(7):1124-1129.(in Chinese)[11] RICHARD I H. In Defence of the 8-point Algorithm[J]. IEEE, 1995,8:1064-1070.[12] 胡春生. 脉冲半导体激光器高速三维成像激光雷达研究 . 长沙:国防科技大学,2005. HU C S. Research of high-speed 3D-imaging ladar using a laser diode . Changsha: National University of Defense Technology, 2005.(in Chinese)
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