Phase unwrapping method based on dual-frequency heterodyne combined with phase encoding

Han Xu; Wang Lin; Fu Yanjun

doi:10.3788/IRLA201948.0913003

In order to complete phase unwrapping with a heterodyne of high frequency fringe and achieve high accuracy measurement, a phase unwrapping method of dual frequency heterodyne combined with phase coding was proposed. Firstly, two wrapping phases were obtained by two sinusoidal stripes, and one heterodyne phase was obtained by heterodyne processing; Secondly, the phase coding fringe was used to obtain the fringe order, and the heterodyne phase was unwrapped by fringe order; Finally, the two wrapping phases were unwrapped by continuous heterodyne phases, and the phase information of the object was obtained by using the continuous phase of the highest frequency. The experimental results show that the RMS error of the measurement is 0.038 mm. The period of dual-frequency heterodyne synthesis did not need to cover the whole field of view, thus breaking the limitation of frequency selection in traditional dual-frequency heterodyne method, which could be used for high accuracy measurement with higher frequency fringes. High frequency fringe can be used for high accuracy measurement even if there is error of phase principal value.

Phase unwrapping method based on dual-frequency heterodyne combined with phase encoding

1. Key Laboratory of Nondestructive Testing,Ministry of Education,Nanchang Hangkong University,Nanchang 330063,China;

2. School of Measuring and Optical Engineering,Nanchang Hangkong University,Nanchang 330063,China

Received Date: 2019-04-05

Rev Recd Date: 2019-05-15

Publish Date: 2019-09-25

Key words:

Abstract: In order to complete phase unwrapping with a heterodyne of high frequency fringe and achieve high accuracy measurement, a phase unwrapping method of dual frequency heterodyne combined with phase coding was proposed. Firstly, two wrapping phases were obtained by two sinusoidal stripes, and one heterodyne phase was obtained by heterodyne processing; Secondly, the phase coding fringe was used to obtain the fringe order, and the heterodyne phase was unwrapped by fringe order; Finally, the two wrapping phases were unwrapped by continuous heterodyne phases, and the phase information of the object was obtained by using the continuous phase of the highest frequency. The experimental results show that the RMS error of the measurement is 0.038 mm. The period of dual-frequency heterodyne synthesis did not need to cover the whole field of view, thus breaking the limitation of frequency selection in traditional dual-frequency heterodyne method, which could be used for high accuracy measurement with higher frequency fringes. High frequency fringe can be used for high accuracy measurement even if there is error of phase principal value.

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Reference (22)

[1]	Shan Lina, Yu Xiaoyang, Yu Shuang, et al. Three dimensional measurement method combining color trapezoidal phase-shifting with color gray code[J]. Optics and Precision Engineering, 2010, 18(11):2497-2504. (in Chinese)
[2]	Dai M, Yang F, Liu C, et al. A dual-frequency fringe projection three-dimensional shape measurement system using a DLP 3D projector[J]. Optics Communications, 2017, 382(8):294-301.
[3]	Tian Ailing, Liu Ting, Liu Jian. High precision wavefront reconstruction technology for single interferogram[J]. Infrared and Laser Engineering, 2015, 44(4):1203-1207.(in Chinese)
[4]	Zuo C, Huang L, Zhang M, et al. Temporal phase unwrapping algorithms for fringe projection profilometry:A comparative review[J]. Optics Lasers in Engineering, 2016, 85(1):84-103.
[5]	Ghiglia D C, Romero L A. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods[J]. JOSA A, 1994, 11(1):107-117.
[6]	Qian Xiaofan, Rao Fan, Li Xinghua, et al. Accurate least squares phase unwrapping algorithm[J]. Chinese J Lasers, 2012, 39(2):183-187. (in Chinese)
[7]	Wang Yonghong, Li Junrong, Sun Jianfei, et al. Frequency domain filtering for phase fringe patterns of digital speckle pattern interferometry[J]. Chinese Optics, 2014, 7(3):389-395. (in Chinese)
[8]	Yang T, Zhang G, Li H, et al. Hybrid 3D Shape measurement using the MEMS scanning micromirror[J]. Micromachines, 2019, 10(1):47-61.
[9]	Su X, Chen W. Reliability-guided phase unwrapping algorithm:a review[J]. Optics and Lasers in Engineering, 2004, 42(3):245-261.
[10]	Fang S, Wang L, Yang P, et al. Object-image-based method to construct an unweighted quality map for phase extraction and phase unwrapping[J]. Applied Optics, 2011, 50(10):1482-1487.
[11]	Zhong H, Tang J, Zhang S, et al. A Quality-guided and local minimum discontinuity based phase unwrapping algorithm for InSAR/InSAS interferograms[J]. IEEE Geoscience Remote Sensing Letters, 2013, 11(1):215-219.
[12]	Sansoni G, Carocci M, Rodelia R. Three-dimensional vision based on a combination of gray-code and phase-shift light projection:analysis and compensation of the systematic errors[J]. Applied Optics, 1999, 38(31):6565-6573.
[13]	Lu Feng, Wu Chengdong, Jia Tong, et al. Phase unwrapping based on two types of stair-mode[J]. Infrared and Laser Engineering, 2018, 47(8):0826002.(in Chinese)
[14]	Cho C S, Han J. Phase error reduction for multi-frequency fringe projection profilometry using adaptive compensation[J]. Current Optics and Photonics, 2018, 2(4):332-339.
[15]	Creath K. Step height measurement using two-wavelength phase-shifting interferometry[J]. Applied Optics, 1987, 26(14):2810-2816.
[16]	Ji Hongbin, Zhang Huibo, Dai Shijie, et al. Binary spatiotemporal encoded method used for uneven fringes phase unwrapping[J]. Infrared and Laser Engineering, 2017, 46(4):0417004. (in Chinese)
[17]	Xu Y, Jia S, Luo X, et al. Multi-frequency projected fringe profilometry for measuring objects with large depth discontinuities[J]. Optics Communications, 2013, 288:27-30.
[18]	Ghiglia D C, Pritt M D. Two-dimensional Phase Unwrapping:Theory, Algorithms, and Software[M]. US:Wiley-Interscience, 1998.
[19]	Reich C, Ritter R, Thesing J. 3D shape measurement of complex objects by combining photogrammetry and fringe projection[J]. Optical Engineering, 2000, 39(1):224-231.
[20]	Lei Zhihui, Li Jianbing. Full automatic phase unwrapping method based on projected double spatial frequency fringes[J]. Acta Optica Sinica, 2006, 26(1):39-42. (in Chinese)
[21]	Chen Songlin, Zhao Jibing, Xia Rengbo. Improvement of the phase unwrapping method based on multi-frequency heterodyne principle[J]. Acta Optica Sinica, 2016, 36(4):155-165.
[22]	Yu S, Zhao J, Yu X Y, et al. 3D measurement using combined Gray code and dual-frequency phase-shifting approach[J]. Optics Communications, 2018, 413(2):283-290.

Phase unwrapping method based on dual-frequency heterodyne combined with phase encoding

doi: 10.3788/IRLA201948.0913003

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