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CLC number: TP242.62

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.10 P.1363-1368

http://doi.org/10.1631/jzus.A0820318


Hand-eye calibration with a new linear decomposition algorithm


Author(s):  Rong-hua LIANG, Jian-fei MAO

Affiliation(s):  College of Information Engineering, Zhejiang University of Technology, Hangzhou 310032, China

Corresponding email(s):   rhliang@zjut.edu.cn

Key Words:  Homogeneous transformation equation, Singular value decomposition (SVD), Optimal rotation matrix, Rigid transformations


Rong-hua LIANG, Jian-fei MAO. Hand-eye calibration with a new linear decomposition algorithm[J]. Journal of Zhejiang University Science A, 2008, 9(10): 1363-1368.

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author="Rong-hua LIANG, Jian-fei MAO",
journal="Journal of Zhejiang University Science A",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820318"
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Abstract: 
To solve the homogeneous transformation equation of the form AX=XB in hand-eye calibration, where X represents an unknown transformation from the camera to the robot hand, and A and B denote the known movement transformations associated with the robot hand and the camera, respectively, this paper introduces a new linear decomposition algorithm which consists of singular value decomposition followed by the estimation of the optimal rotation matrix and the least squares equation to solve the rotation matrix of X. Without the requirements of traditional methods that A and B be rigid transformations with the same rotation angle, it enables the extension to non-rigid transformations for A and B. The details of our method are given, together with a short discussion of experimental results, showing that more precision and robustness can be achieved.

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Reference

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[9] Zhuang, H., Roth, Z.S., 1991. Comments on “Calibration of wrist-mounted robotic sensors by solving homogeneous transform equations of the form AX=XB”. IEEE Trans. on Rob. Autom., 7(6):877-878.

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