论文标题
通过图案分类和圆形均值进行稳健光学测试的阶段检索
Phase retrieval by pattern classification and circular mean for robust optical testing
论文作者
论文摘要
对于具有较长曲率半径的大镜子的光学测试，通常有必要使用单发相移干涉仪进行多项测量，因为空气湍流对预防空气分层的影响应降低以进行准确的测量。在本文中，提出了一种应用层次聚类的新技术，该技术根据获得的包裹阶段的模式相似性对几个集群进行了分类。由于排除包裹相的少数族裔模式，因此可以减少未知噪声的影响。对于每个群集，循环平均值用于计算固定的包裹相。表面图是从未包装相的。由于相位 - 未包装算法的运行数与所选簇数相同，因此所提出的技术比常规过程快得多。在使用直径为1.5 m的球形镜的500次测量中，通过常规程序获得的结果分别降低了表面图的均方根误差的测量时间和标准偏差，分别降低了大约23％和15％。
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.
