Hand-eye calibration method without a calibration reference based on second-order cone programming

Wei LI; Ming-li DONG; Xiao-ping LOU

doi:10.3788/OPE.20182610.2536

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Hand-eye calibration method without a calibration reference based on second-order cone programming

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- Hand-eye calibration method without a calibration reference based on second-order cone programming
- Optics and Precision Engineering Vol. 26, Issue 10, Pages: 2536-2545(2018)
- 作者机构：
  
  1.北京邮电大学信息光子学与光通信研究院, 北京 100876
  2.北京信息科技大学光电测试技术北京市重点实验室, 北京 100192
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20182610.2536
  CLC： TP24
- Received：31 January 2018，
  
  Accepted：02 March 2018，
  
  Published：25 October 2018
- 稿件说明：
移动端阅览
Wei LI, Ming-li DONG, Xiao-ping LOU. Hand-eye calibration method without a calibration reference based on second-order cone programming[J]. Optics and precision engineering, 2018, 26(10): 2536-2545.
DOI：

Wei LI, Ming-li DONG, Xiao-ping LOU. Hand-eye calibration method without a calibration reference based on second-order cone programming[J]. Optics and precision engineering, 2018, 26(10): 2536-2545. DOI： 10.3788/OPE.20182610.2536.

摘要

为了克服传统机器人手眼标定方法求解手眼关系及机器人坐标系与世界坐标系方位关系对标定参照物的依赖，提出一种基于二阶锥规划的无标定参照物手眼标定改进方法，并搭建相关实验系统进行验证。首先，利用运动恢复结构算法解算定义在一个尺度因子基础上的相机运动矩阵；然后，引入对偶四元数理论参数化标定方程中的旋转矩阵和平移向量；最后，通过二阶锥规划方法同时求解相机运动矩阵尺度因子、手眼关系及机器人坐标系与世界坐标系方位关系的最优解。仿真和实测结果表明，在没有标定参照物作为测量基准的情况下，标定结果中旋转参数相对误差为3.998%，平移参数相对误差为0.117%。与其他标定方法相比，该方法提高了无标定参照物模式下机器人手眼标定精度，扩展了手眼标定方法的应用范围。

Abstract

In order to overcome the restrictions of traditional hand-eye methods for determining hand-eye correspondence and robot-world orientation with a calibration reference

an improved hand-eye calibration approach without a calibration reference is proposed based on second-order cone programming. A relevant experimental system is established for its validation. First

a structure-from-motion approach is used to recover the camera motion matrix up to scaling. Then

the rotation and translation matrix in the calibration equation is parameterized by dual quaternion theory. Finally

the second-order cone programming method is used to simultaneously determine the optimal solution for the scale factor of the camera motion matrix

the robot-world calibration and the hand-eye calibration. Both the simulation and experimental results indicate that

for the calibration precision

the relative error of rotation is 3.998% and the relative error of translation is 0.117% in the absence of a calibration reference as a benchmark. Compared with other calibration methods

the proposed method can effectively improve the accuracy of robot-world calibration and hand-eye calibration without a reference

and extend the range of applications of the hand-eye calibration method.

关键词

Keywords

references

林义闽, 吕乃光, 娄小平, 等.用于弱纹理场景三维重建的机器人视觉系统[J].光学精密工程, 2015, 23(2):540-549.

LIN Y M, LÜ N G, LOU X P, et al .. Robot vision system for 3D reconstruction in low texture environment[J]. Opt. Precision Eng., 2015, 23(2):540-549. (in Chinese)

曹天扬, 蔡浩原, 方东明, 等.结合图像内容匹配的机器人视觉导航定位与全局地图构建系统[J].光学精密工程, 2017, 25(8):2221-2232.

CAO T Y, CAI H Y, FANG D M, et al .. Robot vision system for key frame global map establishment and robot localization based on graphic content matching[J].Opt. Precision Eng., 2017, 25(8):2221-2232. (in Chinese)

杨守瑞, 尹仕斌, 任永杰, 等.机器人柔性视觉测量系统标定方法的改进[J].光学精密工程, 2014, 22(12):3239-3246.

YANG SH R YIN SH B, REN Y J, et al .. Improvement of calibration method for robotic flexible visual measurement systems[J]. Opt. Precision Eng., 2014, 22(12):3239-3246. (in Chinese)

TSAI R Y, LENZ R K. A new technique for fully autonomous and efficient 3D robotics hand/eye calibration[J]. IEEE Transactions on robotics and automation, 1989, 5(3):345-358.

ZHUANG H Q, ROTH Z S, SUDHAKAR R. Simultaneous robot/world and tool/flange calibration by solving homogeneous transformation equations of the form AX=YB[J].IEEE Transactions on Robotics and Automation, 1994, 10(4):549-554

HORAUD R, DORNAIKA F. Hand-eye calibration[J]. The international journal of robotics research, 1995, 14(3):195-210.

SHAH M. Solving the robot-world/hand-eye calibration problem using the Kronecker product[J].Journal of Mechanisms and Robotics, 2013, 5(3):No.031007.

DANⅡLIDIS K. Hand-eye calibration using dual quaternions[J]. The International Journal of Robotics Research, 1999, 18(3):286-298.

ULRICH M, STEGER C. Hand-eye calibration of SCARA robots using dual quaternions[J]. Pattern Recognition and Image Analysis, 2016, 26(1):231-239.

LI H Y, MA Q L, WANG T M, et al .Simultaneous hand-eye and robot-world calibration by solving the AX=YB problem without correspondence[J]. IEEE Robotics and Automation Letters, 2016, 1(1):145-152.

HELLER J, HENRION D, PAJDLA T. Hand-eye and robot-world calibration by global polynomial optimization[C]/// IEEE International Conference on Robotics and Automation. Piscataway, USA: IEEE , 2014: 3157-3164. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=6907313

HELLER J, HAVLENA M, PAJDLA T. A branch-and-bound algorithm for globally optimal hand-eye calibration[C]// Computer Vision and Pattern Recognition ( CVPR ), 2012 IEEE Conference on, IEEE , 2012: 1608-1615. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6247853

李巍, 吕乃光, 董明利, 等.基于对偶四元数的机器人方位与手眼关系同时标定方法[J].机器人, 2018, 40(8):301-308.

LI W, LÜ N G, DONG M L, et al ..Simultaneous Robot-World/Hand-Eye Calibration Using dual quaternion[J]. Robot, 2018, 40(8):301-308.

WU L, WANG J, QI L, et al .. Simultaneous Hand-Eye, Tool-Flange, and Robot-Robot Calibration for Comanipulation by Solving the AXB=YCZ Problem[J]. IEEE Transactions on Robotics, 2016, 32(2):413-428.

TABB A, YOUSEF K M A. Solving the robot-world hand-eye ( s ) calibration problem with iterative methods[J]. Machine Vision and Applications, 2017:1-22.

ANDREFF N, HORAUD R, ESPIAU B. Robot hand-eye calibration using structure-from-motion[J]. The International Journal of Robotics Research, 2001, 20(3):228-248.

SCHMIDT J, VOGT F, NIEMANN H. Calibration-free hand-eye calibration: a structure-from-motion approach[C]// Joint Pattern Recognition Symposium. Springer Berlin Heidelberg , 2005: 67-74.

HELLER J, HAVLENA M, SUGIMOTO A, et al .. Structure-from-motion based hand-eye calibration using L∞ minimization[C] Computer Vision and Pattern Recognition ( CVPR ), 2011 IEEE Conference on, IEEE , 2011: 3497-3503. http://dl.acm.org/citation.cfm?id=2191740.2191873

陈明伟, 朱登明, 毛天露, 等.基于二阶锥规划的运动控制相机轨迹跟踪研究[J].高技术通讯, 2013, 23(08):840-847.

CHEN M W, ZHU D M, MAO T L, et al .. Motion control camera tracking based on second cone programming[J]. Chinese High Technology Letters, 2013, 23(08):840-847.(in Chinese)

PACHTRACHAI K, ALLAN M, PAWAV, et al .. Hand-eye calibration for robotic assisted minimally invasive surgery without a calibration object[C] IEEE/RSJ International Conference on Intelligent Robots and Systems. Piscataway, USA: IEEE , 2016: 2485-2491. http://ieeexplore.ieee.org/document/7759387

WANG Z, LIU Z, MA Q, et al .. Vision-Based Calibration of Dual RCM-Based Robot Arms in Human-Robot Collaborative Minimally Invasive Surgery[J]. IEEE Robotics and Automation Letters, 2017.

PARK Y, CHOI Y, SEO Y. Globally optimal camera-and-rotation-sensor calibration with a branch-and-bound algorithm[J]. Applied Optics, 2017, 56(12):3462-3469.

刘一兵, 吴文传, 张伯明, 等.基于混合整数二阶锥规划的主动配电网有功-无功协调多时段优化运行[J].中国电机工程学报, 2014, 34(16):2575-2583.

LIU Y B, WU W CH, ZHANG B M, et al .. A Mixed Integer Second-order Cone Programming Based Active and Reactive Power Coordinated Multi-period Optimization for Active Distribution Network[J].Proceedings of the CSEE, 2014, 34(16):2575-2583.(in Chinese)

ZHANG Z. A flexible new technique for camera calibration[J]. IEEE Transactions on pattern analysis and machine intelligence, 2000, 22(11):1330-1334.

WU C. Towards linear-time incremental structure from motion[C]3 DTV-Conference , 2013 International Conference on, IEEE , 2013: 127-134. http://dl.acm.org/citation.cfm?id=2544800

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