Abstract
Hand-eye calibration is the basis of machine vision. The calibration method determines the motion accuracy of the manipulator. In the presented method, the point coordinate in camera frame and robot frame are separately obtained. By stacking the formula, the hand-eye transformation matrix can be calculated using the least square method. Otherwise, a tool offset calibration method is presented and some guidance also of conducting the tool offset calibration experiment is given. Finally, the validity of the proposed method is demonstrated by and experimental studies.
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References
Nadas, A.: Least squares and maximum likelihood estimation of rigid motion. IBM Research Report RC9645 (1978)
Fassi, I., Legnani, G.: Hand to sensor calibration: a geometrical interpretation of the matrix Equation AX=XB. J. Robot. Syst. 22(9), 497–506 (2005). https://doi.org/10.1002/rob.20082
Ha, J., Kang, D., Park, F.C.: A stochastic global optimization algorithm for the two-frame sensor calibration problem. IEEE Trans. Industr. Electron. 63(4), 2434–2446 (2016). https://doi.org/10.1109/TIE.2015.2505690
Heller, J., Havlena, M., Pajdla, T.: Globally optimal hand-eye calibration using branch-and-bound. IEEE Trans. Pattern Anal. Mach. Intell. 38(5), 1027–1033 (2016). https://doi.org/10.1109/TPAMI.2015.2469299
Huang, C., Chen, D., Tang, X.: Robotic hand-eye calibration based on active vision. Proceedings - 2015 8th International Symposium on Computational Intelligence and Design, ISCID 2015, vol. 1, no. 3, pp. 55–59 (2016). https://doi.org/10.1109/ISCID.2015.246
Izaguirre, A., Pu, P., Summers, J.: A new development in camera calibration calibrating a pair of mobile cameras. In: Proceedings - IEEE International Conference on Robotics and Automation, pp. 74–79 (1985). https://doi.org/10.1109/ROBOT.1985.1087321
Lepetit, V., Moreno-Noguer, F., Fua, P.: EPnP: an accurate O(n) solution to the PnP problem. Int. J. Comput. Vision 81(2), 155–166 (2009). https://doi.org/10.1007/s11263-008-0152-6
Murray, R.M., Li, Z., Shankar Sastry, S.: A Mathematical Introduction to Robotic Manipulation. CRC Press (2017). https://doi.org/10.1201/9781315136370
Park, F.C., Murray, A.P., McCarthy, J.M.: Designing Mechanisms for Workspace Fit, pp. 295–306 (1993). https://doi.org/10.1007/978-94-015-8192-9_27
Park, F.C., Martin, B.J.: Robot sensor calibration: solving AX = XB on the Euclidean group. IEEE Trans. Robot. Autom. 10(5), 717–721 (1994). https://doi.org/10.1109/70.326576
Shiu, Y.C., Ahmad, S.: Calibration of wrist-mounted robotic sensors by solving homogeneous transform equations of the form AX = XB. IEEE Trans. Robot. Autom. 5(1), 16–29 (1989). https://doi.org/10.1109/70.88014
Acknowledgment
This research was supported by the National Natural Science Foundation of China (Grant No. 51975216) and the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2021B1515020053).
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Chen, J., Zhu, B., Zhang, X. (2022). A Flexible Hand-Eye and Tool Offset Calibration Approach Using the Least Square Method. In: Liu, H., et al. Intelligent Robotics and Applications. ICIRA 2022. Lecture Notes in Computer Science(), vol 13456. Springer, Cham. https://doi.org/10.1007/978-3-031-13822-5_41
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