Robust High-Precision Phase Solution Method Based on Two-Step Phase-Shifting Method with Arbitrary Step Length

Zhuoyi Yin; Cong Liu; Lizhao Lai; Xiaoyuan He; Xiaopeng Liu; Zhihong Xu

doi:10.3788/LOP202158.0810024

[1] Liu C, Chen L J, He X Y et al. Coaxial projection profilometry based on speckle and fringe projection[J]. Optics Communications, 341, 228-236(2015).

[2] Zuo C, Chen Q, Gu G H et al. High-speed three-dimensional profilometry for multiple objects with complex shapes[J]. Optics Express, 20, 19493-19510(2012).

[3] Shao X X, Chen Z N, Dai Y T et al. Research progress of several key problems in digital image correlation method[J]. Journal of Experimental Mechanics, 32, 305-325(2017).

[4] Wu W J, Liu C, Xu Z H et al. Theoretical study on binary digital speckle power spectrum[J]. Acta Optica Sinica, 40, 0312002(2020).

[5] Zhang S. Recent progresses on real-time 3D shape measurement using digital fringe projection techniques[J]. Optics and Lasers in Engineering, 48, 149-158(2010). http://www.sciencedirect.com/science/article/pii/S0143816609000529

[6] Chen W J, Su X Y, Cao Y et al. Fourier transform profilometry based on a fringe pattern with two frequency components[J]. Optik - International Journal for Light and Electron Optics, 119, 57-62(2008). http://www.sciencedirect.com/science/article/pii/S0030402606002257

[7] Su X Y, Chen W J. Fourier transform profilometry: review[J]. Optics and Lasers in Engineering, 35, 263-284(2001).

[8] Stoilov G, Dragostinov T. Phase-stepping interferometry: five-frame algorithm with an arbitrary step[J]. Optics and Lasers in Engineering, 28, 61-69(1997). http://www.sciencedirect.com/science/article/pii/S0143816696000486

[9] Feng S J, Chen Q, Gu G H et al. Fringe pattern analysis using deep learning[J]. Advanced Photonics, 1, 025001(2019). http://www.opticsjournal.net/Articles/Abstract?aid=OJ2483b37c27b2ee39

[10] Zhang S, Yau S T. High-speed three-dimensional shape measurement system using a modified two-plus-one phase-shifting algorithm[J]. Optical Engineering, 46, 113603(2007). http://spie.org/Publications/Journal/10.1117/1.2802546

[11] Kang X, He X Y. Two-step phase-shifting technique for phase measurement profilometry by grating projection[J]. Acta Optica Sinica, 23, 75-79(2003).

[12] Li B S, Cai Q Q, Bao Y P et al. Two-step phase-shifting algorithm by the use of half angle of phase[J]. Acta Photonica Sinica, 43, 1110002(2014).

[13] Zhang X X, Wang Y M, Huang S J et al. A two-step phase-shifting algorithm for phase calculation[J]. Acta Photonica Sinica, 46, 0311005(2017).

[14] Mao J Q, Yin Y K, Meng X F et al. Two-step phase shifting in fringe projection: modeling and analysis[J]. Proceedings of SPIE, 1067, 106780V(2018).

[15] Yang F J, He X Y. Two-step phase-shifting fringe projection profilometry: intensity derivative approach[J]. Applied Optics, 46, 7172-7178(2007).

[16] Zhang H, Zhao H, Zha J et al. Two-shot fringe pattern phase demodulation using the extreme value of interference with Hilbert-Huang per-filtering[J]. Proceedings of SPIE, 11056, 1105646(2019). http://www.researchgate.net/publication/333940486_Two-shot_fringe_pattern_phase_demodulation_using_the_extreme_value_of_interference_with_Hilbert-Huang_per-filtering/download

[17] Flores V H, Rivera M. Robust two-step phase estimation using the Simplified Lissajous Ellipse Fitting method with Gabor Filters Bank preprocessing[J]. Optics Communications, 461, 125286(2020). http://www.sciencedirect.com/science/article/pii/S0030401820300286

[18] Niu W H, Zhong L Y, Sun P et al. An improved two-step phase-shifting algorithm based on gram-Schmidt orthonormalization[J]. Chinese Journal of Lasers, 42, 0608002(2015).

[19] Xu J L, Zhou M A, Fang X F. Study on an two phase-shifting profilometry with an arbitrary steps algorithm[J]. Acta Metrologica Sinica, 37, 472-475(2016).