Phase Unwrapping Method Based on Virtual Phase Plane

doi:10.7517/j.issn.1674-0475.2017.02.185

Imaging Science and Photochemistry ›› 2017, Vol. 35 ›› Issue (2): 185-192.DOI: 10.7517/j.issn.1674-0475.2017.02.185

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Phase Unwrapping Method Based on Virtual Phase Plane

LI Fengjiao, ZHANG Qican, LIU Shouqi, WU Yingshan

Opto-Electronics Department, Sichuan University, Chengdu 610064, Sichuan, P. R. China

Received:2017-01-21 Revised:2017-02-21 Online:2017-03-15 Published:2017-03-15

Abstract

Abstract:

In order to accurately reconstruct the height of the tested object, phase unwrapping plays an important role in the three-dimensional (3D) shape measurement system based on phase analysis. The traditional phase unwrapping method often requires additional projected images, and/or needs a time-consuming 2D spatial phase unwrapping algorithm. Meanwhile, Fourier Transform Profilometry (FTP) only needs to collect one or two deformed fringe pattern to restore the 3D shape of the measured object. It is fast and easy to implement and suitable to measure the dynamic object. A new phase unwrapping method is presented in this paper, in which the phase order can be correctly retrieved from integer multiples of 2π and the phase different between the wrapped phase and the unwrapped reference phase. If the measured object is more complex, some virtual phase plane created by adding or subtracting 2nπ from the reference phase will be used to get the correct phase order. Finally, the natural continuous phase distribution of the measured object can be obtained from the combination of the multi-step phase unwrapping results. The feasibility of this method is proved by the results of simulation and 2 actual experiments. It is proved that this method is fast, no spreading error and can be efficiently used in the measuring system based on FTP method.

Key words: phase unwrapping, 3D shape measurement, Fourier Transform Profilometry, virtual phase plane, height reconstruction

LI Fengjiao, ZHANG Qican, LIU Shouqi, WU Yingshan. Phase Unwrapping Method Based on Virtual Phase Plane[J]. Imaging Science and Photochemistry, 2017, 35(2): 185-192.

References

[1] 苏显渝,李继陶. 信息光学[M],北京:科学出版社. Su X Y,Li J T. Information Optics[M]. Beijing:Science Press.
[2] Chen F, Brown G M, Song M. Overview of three-dimensional shape measurement using optical methods[J]. Optical Engineering, 2000, 39(1):10-22.
[3] Itoh K. Analysis of the phase unwrapping algorithm[J]. Applied Optics, 1982, 21(14):2470.
[4] 肖枫. InSAR相位解缠算法的研究[D].上海:同济大学, 2008. Xiao F. Comparison on application of InSAR phase unwrapping methord[D]. Shanghai:Tongji University, 2008.
[5] Macy W W. Two-dimensional fringe-pattern analysis[J]. Applied Optics, 1983, 22(23):3898-3901.
[6] 艾佳, 刘守起, 刘元坤等. 利用三频外差实现的小视场三维测量系统[J]. 光电工程, 2016, 43(9):39-44. Ai J, Liu S Q, Liu Y K. Three-dimensional small-field measurement system based on tri-frequency heterodyne fringe analysis[J]. Opto-electronic Engineering, 2016, 43(9):39-44.
[7] Zhang Q C, Su X Y, Xiang L Q, Sun X Z. 3-D shape measu-rement based on complementary Gray-code light[J]. Optics and Laser in Engineering, 2012, 50(4):574-579.
[8] Wang Y, Zhang S. Novel phase-coding method for absolute phase retrieval[J]. Optics letters, 2012, 37(11):2067-2069.
[9] Gai S, Da F. A novel phase-shifting method based on strip marker[J]. Optics and Lasers in Engineering, 2010, 48(2):205-211.
[10] Cui H, Liao W, Dai N, Cheng X. A flexible phase-shifting method with absolute phase marker retrieval[J]. Measurement, 2012, 45(1):101-108.
[11] Takeda M, Mutoh K. Fourier transform profilometry for the automatic measurement of 3-D object shapes[J]. Applied optics, 1983, 22(24):3977-3982.
[12] 张启灿, 苏显渝. 动态三维面形测量的研究进展[J]. 激光与光电子学进展, 2013, 50(1):1-14. Zhang Q C,Su X Y. Research progress of dynamic three-dimensional shape measurement[J]. Laser & Optoelectro-nics Progress,2013, 50(1):1-14.
[13] 张启灿. 动态过程三维面形测量技术研究[D].成都:四川大学, 2005. Zhang Q C. Technical study of three-dimensional shape measurement for dynamic process[D]. Chengdu:Sichuan University,2005.

Phase Unwrapping Method Based on Virtual Phase Plane

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