For automated inspection, correlating measured data with original design geometry and tolerance specification is of fundamental necessity. In order to compare measured data to nominal geometry, it is necessary to find an exact location of the measured points with respect to a nominal geometry coordinate system. If a tolerance zone is provided, its boundaries must be compared to the measured points to determine the quality and functionality of the part. The problem of localizing measured data can be formalized as an unconstrained optimization problems. In this paper, we develop the localization algorithms using the least square criterion. Such a localization algorithm can also place the measured data into tolerance zone, when it is specified.

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