Novel method for optimizing polishing tool-path in CCOS based on weighted-iterative algorithm

In Computer Controlled Optical Surfacing (CCOS), polishing tool-path is the base of solving other control parameters such as dwell time. In order to improve the fabrication results of polishing off-axis aspheric, a novel method to optimize the tool-path is discussed in this paper. The optimizing method named weighted-iterative algorithm is according to the balance principle of the particle system. The power factor of each dwell point represents the requirement of dwell density. Considering the factors which influence the polishing result, the power factors cosist of three elements include constant, error distribution and dwell distance of workpiece edge. The tool-path is solved by numerical iterative method. In the end, an error data is simulated with actual parameters using the matrix-based algorithm with two different tool-paths. The one is X-Y uniform spacing model and the other one is to optimize it based on the first. The comparison shows that the results of the optimized one are much better than traditional one, especially the rms convergence rate. Theory of the algorithm is simple and exercisable, and it satisfies practical requirement as well.