基于双2+1相移法的高动态范围三维测量  

High Dynamic Range 3D Measurement Based on Double 2+1 Phase-Shifting Method

作　　者：王建华 杨延西[2] 徐鹏 刘锦涛 张雯 单硕 李泽 Wang Jianhua;Yang Yanxi;Xu Peng;Liu Jintao;Zhang Wen;Shan Shuo;Li Ze(School of Information and Control Engineering,Qingdao University of Technology,Qingdao 266520,Shandong,China;School of Automation and Information Engineering,Xi'an University of Technology,Xi'an 710048,Shaanxi,China)

机构地区：[1]青岛理工大学信息与控制工程学院,山东青岛266520 [2]西安理工大学自动化与信息工程学院,陕西西安710048

出　　处：《光学学报》2023年第20期133-143,共11页Acta Optica Sinica

基　　金：山东省自然科学基金(ZR2021MF024);国家自然科学基金(62273274)。

摘　　要：针对基于2+1相移法的高反光表面三维测量,分析了强度饱和条纹图案的傅里叶频谱,引入了强度饱和条纹的三阶傅里叶级数表达形式,建立了强度饱和所致的包裹相位误差模型,提出了双2+1相移法。从精度和效率两方面进行了对比实验:对比传统的2+1相移法和自适应条纹投影的2+1相移法,双2+1相移法的相位误差分别降低了69.9%和65.2%;对比多曝光2+1相移法和自适应条纹投影的2+1相移法,双2+1相移法的测量效率分别提高了91.9%和63.9%。Objective The phase-shifting method can extract the phase with high resolution,high precision,and high robustness.However,since the number of fringe patterns is generally three or more,it is sensitive to positional movement.The 2+1 phase-shifting method can reduce the phase error caused by motion.However,the local specular reflection of the measured object causes local intensity saturation,which leads to phase error.Although the multi-exposure method can extract fringe patterns with a better signal-to-noise ratio(SNR),it is difficult to quantify the exposure time and range.In addition,the number of fringe patterns is huge,and the measurement efficiency is low.The adaptive fringe projection method adaptively adjusts the projected pixel intensity according to the pre-acquired image,but its ability to correct the phase error is limited by the following two aspects.One is the pixel-matching error between the camera and the projector,and the other is the limitation of the grayscale range of the camera and projector.The polarization method has a great suppression effect on specular reflection,but it reduces the SNR on low-reflection surfaces.In addition,the adjustment of the optical path is complicated.For the three-dimensional(3D)measurement of highly reflective objects based on the 2+1 phaseshifting method,a novel double 2+1 phase-shifting method is proposed,which can not only correct the saturation-induced wrapped phase error but also has a higher measurement efficiency.Methods First,the computer simulates the intensity-saturated fringe pattern.When the fringe intensity is saturated,there are high-frequency components in addition to the fundamental frequency component,and the high-frequency components increase with the increase in the intensity saturation coefficient.Therefore,the intensity-saturated fringe pattern can be expressed as a high-order Fourier series.Second,based on the analysis of the Fourier spectrum,the intensity-saturated fringe pattern can be approximately represented by a third-order Fourier series

关 键 词：高反光表面 强度饱和条纹 相位误差模型 双2+1相移法 

分 类 号：TN247[电子电信—物理电子学]