主元分析相位提取算法的符号确定及误差分析  

Sign Determination and Error Analysis of Phase Extraction Based on Principal Component Analysis

作　　者：陈曌[1,2] 候园园 徐建程[1,2] 

机构地区：[1]浙江师范大学信息光学研究所,浙江金华321004 [2]浙江省光信息检测与显示技术研究重点实验室,浙江金华321004

出　　处：《中国激光》2016年第1期170-176,共7页Chinese Journal of Lasers

基　　金：国家自然科学基金(61205163;61205012;61377014)

摘　　要：基于主元分析的随机相移算法在动态干涉测量中有重要的应用。目前现有文献尚不能解决该算法存在的相位符号不确定性以及无法评估提取相位结果的可靠性。为了解决该问题,利用主元分析方法从随机相移干涉条纹中同时取相位分布和相移值,然后分析相位符号、精度与相移值之间的关系,最后利用所求相移值确定相位符号并表征相位的可靠性。数值分析和实验结果验证该方法的有效性。数值模拟结果表明相位符号由相移值曲线斜率的符号决定,相位提取结果的可靠性取决于相移值的随机统计特性。Random phase-shifting algorithm based on principal component analysis has important application in dynamic interferometry. At present, the sign ambiguity and the reliability of the extracted phase by principal component analysis are still not be solved and valued in the exiting references. To solve these problems, we firstly extract the phase and phase shifts simultaneously from interferograms with random phase shifts by principal component analysis. Then we analyze the relationship between the extracted phase shifts and the global sign and the accuracy of the extracted phase. Finally, the sign ambiguity and the reliability of extracted phase are determined and valued by analyzing the extracted phase shifts. Numerical simulations and experiments are implemented to verify the effectiveness of this method. The simulation result shows that the global sign and the reliability of the extracted phase depend on the slope and the statistic characteristics of the phase shifts, respectively.

关 键 词：测量 随机相移算法 主元分析 干涉图 

分 类 号：O436[机械工程—光学工程]