This paper proposed a tool path (TP) method for machining off-axial multi-mirrors optical systems considering machining accuracy. The calculation of residual error and chord error were modeled. The minimum number of cutting contact points (CCPs) in circumferential direction and the minimum feed for TP can be obtained using the calculation model of chord error and residual error. The curvature is an essential factor for modeling of residual error and chord error. However, the surface equations of the mirrors are complex. It is difficult to calculate the curvature of the surface by derivation. In this paper, the Frenet frame was used to approximate the curvature. A simulation of TP generation for an off-axial four-mirror anastigmat system using the proposed method was conducted. The simulation results of residual errors and chord errors of the four mirrors showed that the proposed TP generation method is effective.
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