Abstract
Probe calibration on a coordinate measuring machine is dependent on the accuracy with which the center of a reference sphere can be located. In this article, a theoretical model for sphere is fitted to a set of sampled surface points using the least-squares criterion. An analysis is conducted of various errors involved during the steps leading to the identification of the sphere and location of its center. The errors include those associated with surface accessibility for sampling, points sampling strategies, optimization algorithm, and probe diameter versus reference sphere diameter. Inferences are drawn regarding the relative influence of these errors, and a calibration strategy is proposed as a function of sampled points, optimization algorithm, and the geometric surface involved.
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