Abstract

The dimensional inspection of a manufactured part by means of a Coordinate Measuring Machine (CMM) consists in the measurement of a set of points on the part and in the estimation of a “substitute geometry”. The accuracy of the estimated substitute geometry depends on the number of the sampled points. The present work deals with the problem of the selection of the optimal number of measured points when the Least Square Method is adopted. The theory of the Harmonic Fitting (HF) will be presented for a flange element and it will be demonstrated that using the HF approach the analytic solution of the estimate error as a function of the number of measured points can be identified, thus evaluating the accuracy of the estimate. It will be shown that the usual statement that the accuracy increases as the number of measured points increases is not always true.

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