光学精密工程2025，Vol.33Issue(9)：1377-1387,11.DOI:10.37188/OPE.20253309.1377
直接相位偏折测量系统中两显示屏折射误差补偿
Refraction error compensation of two displays in direct phase measuring deflectometric system
摘要
Abstract
In direct phase measuring deflectometric systems,the unique structure of liquid crystal displays(LCDs)and transparent displays(TDs)induces light refraction during measurements,resulting in phase deviations.This study presents a method to compensate for the refractive errors of these displays.By mod-eling the two displays as a single transparent layered structure,a ray tracing algorithm is employed to es-tablish refraction error models throughout the measurement process.The light propagation paths are ana-lyzed to identify the parameters necessary for correcting phase deviations.Subsequently,multi-stereo vi-sion technology,combined with an optimized three-domain reflection algorithm,is utilized to calibrate the refraction parameters of the displays.Based on a geometric analysis of the system,the refraction angle dur-ing measurement is calibrated.Finally,an error compensation formula is derived and applied to correct the depth values pixel by pixel,enhancing measurement accuracy.Experimental results demonstrate that the proposed compensation method reduces the maximum absolute error between the mirror ring and the stepped surface from 33 µm to 21 µm,and decreases the root mean square error(RMSE)of the combined mirror assembly,comprising a concave and a plane mirror,from 38.55 µm to 24.92 µm.These improve-ments correspond to an overall enhancement of measurement accuracy by 30%to 40%.The method effec-tively mitigates refraction errors in the two displays and significantly improves the three-dimensional mea-surement precision of the system.关键词
三维测量/直接相位偏折测量术/液晶显示屏/透明显示屏/折射误差Key words
three-dimensional measurement/direct phase measuring deflectometry/liquid crystal dis-play/transparent display/refraction error分类
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田秀秀,倪育博,孟召宗,高楠,杨泽青,张国锋,尹伟,赵洪伟,张宗华..直接相位偏折测量系统中两显示屏折射误差补偿[J].光学精密工程,2025,33(9):1377-1387,11.基金项目
国家自然科学基金资助项目(No.U2341275,No.52075147) （No.U2341275,No.52075147）
河北省教育厅科学研究项目(No.JZX2024021) （No.JZX2024021）
河北工业大学创新研究院(石家庄)石家庄市科技合作专项基金资助项目(No.SJZZXA24008) （石家庄）
