A Registration Method for Profile Error Inspection of Complex Surface Under Minimum Zone Criterion

Although registration of the measured model and the design model has been widely studied, it remains an open problem in complex surface profile error inspection. False rejection of some qualified parts is prone to occur due to the improper registration between the measured points and the nominal model. To solve this problem, we define a surface profile error metric in terms of a new range norm under minimum zone criterion. An optimal framework based on the range norm is proposed to find the registration pose of the measurement data set, in which the surface profile error is minimized. To deal with the computational intractability, the non-differentiable merit function is uniformly approximated by a smooth aggregation function, which can be effectively solved with the limited-memory Quasi-Newton method. Distinct numerical stability control and the active set selection mechanism are proposed to guarantee the accuracy and efficiency of the method. Experiments on a simulated and a real part are included to verify the superiority of the proposed method.