A high precision 2-D laser measuring instrument is designed to meet the needs of high precision measurement. Through
the error analysis of the measuring system, the geometrical errors show certain stability in the results. Geometrical
correction methods are intensively researched. The angle between two axes of the measured plate and axes of the
instrument produces deviations of coordinates X and Y of the points on the plate. Different coordinate systems are not
roughly aligned. An inclined correction model is proposed to compensate the deviations and transform the coordinate
systems. Then the perpendicular compensation model is proposed using the least square approximation method and the
relationship between the coordinates X and Y. To reduce the effect of random error and other geometrical errors, a multi-position
correction algorithm is presented through two different measuring positions. The measurement results verify
that these methods and models are accurate and feasible.
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