A problem of optimal cylindricity profile matching

The bird-cage strategy used for measuring cylindricity is reported to be the most effective, as it provides the most detailed information about an analyzed object. The average values of profiles measured with the cross-section and the generatrix strategies may differ slightly, yet this may result from some design imperfections of the measurement instruments used. In this study, the problem of optimal profile matching is formulated and solved. As a result, the differences between the values of the registered profiles at the points of intersection of the scanning trajectories can be minimized.