在空间大口径离轴光学系统中, 畸变的存在严重影响其定位精度的提高。为提高该系统的定位精度, 对其畸变特性进行了研究。在研究中发现, 大口径离轴反射系统的畸变特性不同于传统的径向畸变模型。因此, 传统的畸变校正方法对于大口径离轴反射系统不再适用。对该离轴系统的畸变校正进行了研究, 提出了一种利用二维拉格朗日插值法对离轴系统畸变进行校正的方法。在系统设计阶段, 利用计算机仿真的方法, 对该校正方法进行了研究, 分析和讨论了校正结果。仿真结果表明, 该方法的校正精度能满足实际要求。这种方法在对大口径离轴系统的畸变校正中具有普遍的实用性。

In order to improve the accuracy of an off-axis reflected space optical system, researches have been made to its distortion feature. In the research, some distortion features different from the radial distortion model are found. So the previous solutions are no longer suitable for this problem. A method using two-dimension Lagrange interpolation is introduced to correct the distortion of the off-axis system. As the system is still in design, these methods are verified and analyzed by simulating in computer. The results show that by using this method, the distortion of the off-axis system can be well corrected.