平面镜子孔径加权拼接检测算法(特邀)

为了解决大口径平面反射镜高精度检测问题，建立了一种基于全局优化的子孔径拼接检测数学模型，同时提出了一种拼接因子用于重叠区域取值。基于上述方法，结合工程实例，对一口径为120 mm的平面反射镜完成拼接检测，检测中共规划了四个待测子孔径，为了对比文中所述算法与传统最小二乘拟合拼接算法的拼接性能，分别利用两种算法完成了待测平面镜的面形重构。实验结果表明，两种算法所得拼接结果光滑、连续、无“拼痕”，同时分别将两种算法所得拼接结果与全口径检测结果进行了对比分析，从传统拼接算法残差图中可以看到明显的“拼痕”，而加权拼接方法得到的拼接结果光滑、连续，同时其残差图的PV与RMS值分别为0.012λ与0.002λ，小于传统算法残差图的PV与RMS值，验证了算法的可靠性与精度。

Subaperture stitching testing to flat mirror based on weighting algorithm (Invited)

To solve the problem of high-precision testing of large-diameter plane mirrors, a mathematical model of subaperture stitching testing based on global optimization was established, and a stitching factor was proposed for overlapping area values. Based on the above method, combined with engineering examples, the stitching testing of a plane mirror was completed with a diameter of 120 mm, and four subapertures to be tested were planned. In order to compare the stitching performance of the algorithm described in this paper with the traditional least-squared fitting stitching algorithm, two algorithms were used to complete the surface reconstruction of the plane mirror to be measured. The experimental results show that the stitching results obtained by the two algorithms are smooth, continuous, no "stitch marks". At the same time, the results of the two algorithms are also compared with the full-aperture testing results. In this paper, obvious "stitch marks" can be seen in the residual map of the traditional splicing algorithm, and the stitching results obtained by the algorithm method in this paper are smooth and continuous, while the PV and RMS values of the residual graph are 0.012λ and 0.002λ, respectively, which are less than the PV and RMS values of the traditional algorithm residuals chart, which verifies the reliability and accuracy of the algorithm.