非线性最优机器人手眼标定

王君臣; 王田苗; 杨艳; 胡磊

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非线性最优机器人手眼标定

更新时间：2025-07-09

- 非线性最优机器人手眼标定
- Nonlinear Optimal Robot Hand-Eye Calibration
- 西安交通大学学报 2011年45卷第9期页码：15-20+89
- 作者机构：
  
  北京航空航天大学机器人研究所,北京,100191
- 作者简介：
- 基金信息：
  
  : 2011-01-23. 作者简介: 王君臣(1984-),男,博士生;王田苗(联系人),男,教授,博士生导师. 基金项目: 国家高技术研究发展计划资助项目(2008AA040205);国家科技支撑计划资助项目(2011BAF01B02)
- DOI：
  中图分类号： TP24
- 网络首发：2011-09-10，
  
  纸质出版：2011
- 稿件说明：
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王君臣, 王田苗, 杨艳, 等. 非线性最优机器人手眼标定[J]. 西安交通大学学报, 2011,45(9):15-20+89.

Nonlinear Optimal Robot Hand-Eye Calibration[J]. 2011, 45(9): 15-20+89.
王君臣, 王田苗, 杨艳, 等. 非线性最优机器人手眼标定[J]. 西安交通大学学报, 2011,45(9):15-20+89. DOI：

Nonlinear Optimal Robot Hand-Eye Calibration[J]. 2011, 45(9): 15-20+89. DOI：

摘要

提出一种基于最大似然估计的非线性最优手眼标定算法

并采用该方法对机器人进行了手眼标定.由于机器人系统的运动学正解及相机的外参数推定都包含误差

因此不能满足手眼标定矩阵方程

从而导致现有机器人手眼标定算法对观测噪声较为敏感.新算法根据包含噪声的测量值来估计它们的真值

使得测量真值满足手眼标定方程

并且在欧拉刚性变换矩阵空间中可使真值和对应的测量值的距离最小.通过数值仿真和真实机器人手眼标定实验

将新算法与现有2种经典的手眼标定算法进行了比较

结果表明

新算法在估计误差、对位姿变换次数的敏感度和稳定性方面均优于经典算法.

Abstract

Nonlinear optimal robot hand-eye calibration based on maximum likelihood estimation is proposed. For the errors in both robot forward position kinematics and camera extrinsic calibration

the classical hand-eye transformation matrix equation often gets violated

thus the existing robot hand-eye calibration algorithms derived from the equation are sensitive to the measurement noise. The proposed strategy estimates the hand-eye transformation and the true measurements according to the noisy measurements to guarantee that the true measurements satisfy the hand-eye equation and the distance to the noisy measurements is minimal. Two classical hand-eye calibration methods are also implemented for comparison. Numerical simulations and real robot hand-eye calibration experiment are performed and the results show the proposed strategy has higher accuracy

sensitivity to motion numbers

and stability.

关键词

Keywords

references

SHIU Y C, AHMAD S. Calibration of wrist-mounted robotic sensors by solving homogeneous transform equations of the form AX=XB [J]. IEEE Transactions on Robotics and Automation, 1989,5(1): 16-29.

HORAUD R, DORNAIKA F. Hand-eye calibration [J]. International Journal of Robotics Research, 1995, 14(3): 195-210.

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.

CHOU J C K, KAMEL M. Finding the position and orientation of a sensor on a robot manipulator using quaternions [J]. The International Journal of Robotics Research, 1991,10(3): 240-254.

WANG C C. Extrinsic calibration of a robot sensor mounted on a robot [J]. IEEE Transactions on Robotics and Automation, 1992,8(2):161-175.

PARK F C, MARTIN B J. Robot sensor calibration: solving AX=XB on the Euclidean group [J]. IEEE Transactions on Robotics and Automation,1994,10(5): 717-721.

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

STROBL K H, HIRZINGER G. Optimal hand-eye calibration [C]∥Proceedings of the 2006 IEEE/RSJ International Conference on Intelligent Robots and System. Piscataway,NJ,USA:IEEE,2006:4647-4653.

王颖,董再励,孙茂相,等. 一种基于线性模型的机器人手眼标定新方法 [J]. 模式识别与人工智能, 2005,18(4): 491-495.

WANG Ying, DONG Zaili, SUN Maoxiang, et al. A new approach for robot hand-eye calibration based on linear prototype [J]. Pattern Recognition and Artificial Intelligence, 2005,18(4): 491-495.

刘峰,孙茂相,董竹新,等. 一种基于投影矩阵M的机器人手眼标定线性化方法 [J]. 机器人, 2005, 27(4):301-305.

LIU Feng, SUN Maoxiang, DONG Zhuxin, et al. A linear approach for robot hand-eye calibration based on the projection matrix M [J]. Robot, 2005, 27(4):301-305.

MORE J J. The Levenberg-Marquardt algorithm: implementation and theory [C]∥ Lecture Notes in Mathematics: Numeric Analysis. Berlin, Germany: Springer, 1978:105-116.

GU Y L, LUH J. Dual-number transformation and its application to robotics [J]. IEEE Journal of Robotics and Automation, 1987,(3):615-623.

CHEN H H. A screw motion approach to uniqueness analysis of head-eye geometry [C]∥Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Piscataway, NJ, USA: IEEE, 1991:145-151.

MALTI A, BARRETO J P. Robust hand-eye calibration for computer aided medical endoscopy [C]∥Proceedings of 2010 IEEE International Conference on Robotics and Automation. Piscataway,NJ,USA: IEEE, 2010:5543-5549.

PENNEC X, THIRION J P. A framework for uncertainty and validation of 3-D registration methods based on points and frames [J]. International Journal of Computer Vision, 1997, 25(3): 203-229.

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