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Aiming at hand-eye calibration problem in robotic hand-eye vision system, the hand-eye conversion relationship between end-effector and camera of manipulator was studied, the method of solving homogeneous matrix in hand-eye calibration was summarized, and a vision model based on motion posture was set up. The improved dual quaternion approach was used for solving separately the rotation parts and the translation of the hand-eye homogeneous transformation matrix. In order to obtain the optimum solution of the translation vector, the infinite norm minimization was introduced during the solving process of translation vector, the local optimal solution of translation vector was obtained by iteration. Simulations based on the considered optimal translation vector algorithm were performed in Matlab, and the classic; solving using dual quaternion and linear decoupling estimation algorithm were also implemented for comparison. The results indicate that the proposed method is better than traditional methods in the precision of calibration, robustness of noise and sensitivity and stability of motion posture numbers. It can meet the accuracy requirement of hand-eye calibration. [ABSTRACT FROM AUTHOR]

Aiming at the problem of unified coordinate system involved in the robot calibration with the help of laser tracker,the transformation relation between robot nominal base frame and the fitting base frame of spatial geometric method by laser tracker was researched,a calibration method of robot base frame using dual quaternion was proposed and applied.The 7-DOF serial robot kinematics model was established by the product-of-exponential formula,and calibration model for robot base frame using dual quaternion was derived.The results indicate that the calibration method can calculate the rotation and translation of the calibration equation at one time,overcome the error transfer in the traditional pose-step calculation process and improve the calibration accuracy directly.The calibration method is useful to other problem that formulates in the same mathematical form,such as robot hand-eye system calibration and multi-robot coordination. [ABSTRACT FROM AUTHOR]