The measurement of the six degrees of freedom (6-DOF) is crucial in industrial manufacturing, enabling efficient operation of machinery. The combination of 6-DOF and the quaternion coordinate system offers a robust framework for accurately representing and controlling the motion and orientation of objects in 3D space. Electro-optical measurement systems are commonly used in these cases due to their advantages such as compact design, fast measurement speed, high stability, and accuracy, as well as the ability to directly measure displacement parameters of the object. The proposed autocollimator optic-electronic system is designed to provide accurate measurements of the position and motion coordinates of industrial objects. It consists of an autocollimator, reflector, radiation marks, lenses, CMOS matrix photoreceivers, and a computer for calculations. By combining the equations related to the quaternion coordinates, reflected images, and image distances, a system of equations is formed to determine the six motion coordinates of the object. The proposed autocollimator optic-electronic system offers a practical solution for accurate measurement of industrial objects' motion coordinates, optimizing both accuracy and efficiency. It can be applied in various applications where precise measurements are required. The autocollimator measuring system outperforms the three-point optic-electronic system in terms of measurement accuracy for all six coordinates encompassing rotational motion and linear displacement. The autocollimator system offers higher precision, particularly in linear displacements, angular rotation, and rotational axis position.
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