基于模式分类和圆均值的稳健光学检测相位恢复
Phase retrieval by pattern classification and circular mean for robust optical testing
摘要：
在大曲率半径反射镜的光学检测中，为了减少大气湍流对防止大气分层的影响，通常需要使用单次相移干涉仪进行多次测量。本文提出了一种新的技术，应用层次聚类，其中分类的几个类，根据模式的相似性获得包裹相位，提出。由于包裹相位的少数模式被排除，可以减少未知噪声的影响。对于每个聚类，使用圆形均值来计算去噪包裹相位。从展开的相位中获得表面图形。由于相位解缠算法的运行次数与所选簇的数量相同，因此所提出的技术比传统过程快得多。在500次测量中，使用直径为1.5米的球面镜，测量时间和表面图形的均方根误差的标准偏差分别减少了约23%和15%，通过传统的程序获得的结果。
英文摘要：
For the optical testing of a large mirror with a long radius of curvature, it is generally necessary to use a single-shot phase-shifting interferometer to take several measurements because the influence of air turbulence on air stratification prevention should be reduced for an accurate measurement. In this paper, a new technique that applies hierarchical clustering, which classifies a few clusters according to the pattern similarity of acquired wrapped phases, is proposed. As the minority patterns of the wrapped phases are excluded, the effects of unknown noises can be reduced. For each cluster, the circular mean is used to calculate the denoised wrapped phases. The surface figure is obtained from the unwrapped phases. Because the running number of the phase-unwrapping algorithm becomes the same as the number of chosen clusters, the proposed technique is much faster than conventional procedures. In 500 measurements using a spherical mirror with a diameter of 1.5 m, the measurement time and standard deviation of the surface figure's root-mean-square error are reduced by up to approximately 23% and 15%, respectively, of the results obtained via the conventional procedure.
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