Fringe projection profilometry by ternary-gray encoded phase unwrapping method

ZHANG Ang; SUN Yaqin; GAO Nan; MENG Zhaozong; ZHANG Zonghua

doi:10.37188/OPE.20223005.0518

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Fringe projection profilometry by ternary-gray encoded phase unwrapping method

Modern Applied Optics | 更新时间：2026-09-12

- Fringe projection profilometry by ternary-gray encoded phase unwrapping method
- Optics and Precision Engineering Vol. 30, Issue 5, Pages: 518-526(2022)
- 作者机构：
  
  河北工业大学机械工程学院，天津 300130
- 作者简介：
- 基金信息：
- DOI：10.37188/OPE.20223005.0518
  CLC： TP394.1;TH691.9
- Received：19 August 2021，
  
  Revised：2021-09-16，
  
  Published：10 March 2022
- 稿件说明：
移动端阅览
张昂,孙亚琴,高楠等.三灰度编码相位展开方法条纹投影轮廓术[J].光学精密工程,2022,30(05):518-526.

ZHANG Ang,SUN Yaqin,GAO Nan,et al.Fringe projection profilometry by ternary-gray encoded phase unwrapping method[J].Optics and Precision Engineering,2022,30(05):518-526.
张昂,孙亚琴,高楠等.三灰度编码相位展开方法条纹投影轮廓术[J].光学精密工程,2022,30(05):518-526. DOI： 10.37188/OPE.20223005.0518.

ZHANG Ang,SUN Yaqin,GAO Nan,et al.Fringe projection profilometry by ternary-gray encoded phase unwrapping method[J].Optics and Precision Engineering,2022,30(05):518-526. DOI： 10.37188/OPE.20223005.0518.

摘要

为了通过减少条纹投影轮廓术所需投影和采集的条纹图像数量，提高三维测量速度，提出了一种用于条纹投影轮廓术的三灰度编码相位展开方法。投影仪投射5幅条纹图像到被测物体表面，包括三幅正弦相移条纹图像和两幅三灰度编码图像，由相机采集经物体表面调制的变形条纹图。通过相机采集到的三幅变形正弦相移条纹图像计算包裹相位。通过相机采集的三灰度编码图像，经过空间灰度平均、灰度三值化、灰色伪码去除后得到三灰度编码值，在获得编码值后利用编码值的空间邻域信息进行解码后得到展开相位级次，对包裹相位进行相位展开。将由对准误差导致的错误相位点去除后得到最终的展开相位。最后，通过系统标定得到的标定系数和最终的展开相位得到被测物体表面的三维形貌。实验结果表明，与最佳三条纹结合四步相移方法相比，该方法在测量精度相当的情况下，测量速度提升了2.4倍。本文所提方法在不牺牲测量精度的同时，提高了三维形貌测量的效率，对复杂形面的快速测量具有实际应用价值。

Abstract

Multiple fringe images are required in fringe projection profilometry for time phase expansion. To obtain faster three-dimensional （3D） measurement by reducing the number of fringe images projected and collected by fringe projection profilometry， in this paper， a ternary-gray encoded phase unwrapping method was proposed for fringe projection profilometry. First， five fringe images were projected by the projector onto the surface of the measured object， which included three sinusoidal phase-shift fringe images and two ternary-gray encoded images. The deformed fringe images modulated by the surface of the object were collected by a camera. Second， the wrapped phase was calculated from the three deformed sinusoidal phase-shift fringe images collected by the camera. After spatial gray averaging， gray ternarization， gray pseudocode removal， the ternary-gray encoding value was obtained using the ternary-gray encoded images collected by the camera. After obtaining the encoding value， the spatial neighborhood information of the encoding value was decoded to obtain the unwrap phase level， and the wrapped phase was unfolded. The ultimate unwrap phase result was obtained by removing the incorrect phase points caused by the alignment error. Third， the 3D topography of the measured object surface was obtained through the calibration coefficients obtained by the system calibration and the ultimate unwrap phase. The experimental results showed that， compared with the optimum three-frequency with four-step phase shift method， the method proposed in this paper not only had the same measurement accuracy but improved the measurement speed by 2.4 times. The proposed method improved the efficiency of 3D topography measurement without reducing the measurement accuracy. It has practical application value for the rapid measurement of complex surfaces.

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