Hand–eye calibration is a vital process for determining an unknown transformation between sensors and a robot end frame before applying robot vision. In addition to optimizing the mathematical solution, refining the pose distribution involved in the calibration can improve the calibration accuracy and efficiency. To optimize the pose distribution, the 3-D position distribution of the tool centre point is designed first, and then the final poses are determined considering the current application scenario. In this paper, an automatic pose generation method is proposed to stably output suitable poses in on-site calibration scenes when an arbitrary 3-D position distribution of the tool centre point is input. Based on this, different pose distributions are discussed regarding their effect on the calibration error, and an indicator is presented to evaluate the performance of these distributions before executing a calibration process. Moreover, a special pose distribution formed by an Archimedean solid is presented, and it shows better performance in improving the hand–eye calibration accuracy and efficiency. Both simulation and on-site experiments are carried out to verify the proposed methods and analyse the effect of different distributions on the calibration results.
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