Computer-Generated Moiré Profilometry and its Development Trends

[2] [2] An Y, Zhang S. High-resolution, real-time simultaneous 3D surface geometry and temperature measurement［J］. Optics Express, 2016, 24(13)： 14552-14563.

[3] [3] Zhang H H, Zhang Q C, Li Y, et al. High speed 3D shape measurement with temporal Fourier transform profilometry［J］. Applied Sciences, 2019, 9 (19)： 4123.

[4] [4] Sansoni G, Docchio F. Three-dimensional optical measurements and reverse engineering for automotive applications［J］. Robot and Computer-Integrated Manufacturing, 2004, 20(5)： 359-367.

[5] [5] Zhong K, Li Z, Zhou X, et al. Enhanced phase measurement profilometry for industrial 3D inspection automation［J］. International Journal of Advanced Manufacturing Technology, 2015, 76(9-12)： 1563-1574.

[6] [6] Wei B, Liang J, Li J, et al. Rapid three-dimensional chromoscan system of body surface based on digital fringe projection［C］. SPIE, 2015, 9576, 95760P.

[7] [7] Heike C L, Upson K, Stuhaug E, et al. 3D digital stereophotogrammetry： a practical guide to facial image acquisition［J］. Head Face Med. , 2010, 6(1)： 18.

[8] [8] Cao C, Weng Y, Zhou S, et al. FaceWarehouse： A 3D facial expression database for visual computing［J］. IEEE Trans. Vis. Comput. Graph., 2014, 20(3)： 413- 425.

[9] [9] Zhang S. Recent progresses on real-time 3D shape measurement using digital fringe projection techniques［J］. Opt. Lasers Eng., 2010, 48(2)： 149-158.

[10] [10] Feng S J, Zuo C, Hu Y, et al. Deep-learning based fringe- pattern analysis with uncertainty estimation［J］. Optica, 2021, 8(12)： 1507-1510.

[11] [11] Guo W B, Wu Z J, Xu R C, et al. A fast reconstruction method for three dimensional shape measurement using dual-frequency grating projection and phase-to-height lookup table［J］. Opt. Laser Technol., 2019, 112： 269-277.

[13] [13] Zuo C, Feng S J, Huang L, et al. Phase shifting algorithms for fringe projection profilometry： A review［J］. Opt. Laser Eng., 2018, 109： 23-59.

[14] [14] Takeda M, Ina H, Kobayashi S. Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry［J］. J. Opt. Soc. Amer., 1981, 72(1)： 156-160.

[15] [15] Srinivasan V, Liu H C, Halioua M. Automated phase-measuring profilometry of 3D diffuse objects［J］. Appl. Opt., 1984, 23(18)： 3105-3108.

[16] [16] Lu M T, Su X Y, Cao Y P, et al. 3D shape reconstruction algorithms for modulation measuring profilometry with synchronous scanning［J］. Chinese Lasers, 2016, 43(3)： 0308006.

[17] [17] Takasaki H, Moiré Topography. Generation of surface contours by Moire pattern［J］. Applied Optics, 1970, 9(6)：1467-1472.

[18] [18] Guo L, Su X, Li J. Improved fourier transform profilometry for the automatic measurement of 3D object shapes［J］. Opt. Eng., 1990, 29(12)： 1439-44.

[19] [19] Liu X R, Jonathan K. Real-time 3D surface-shape measurement using background-modulated modified Fourier transform profilometry with geometry-constraint［J］. Optics and Lasers in Engineering, 2019, 115： 217-224.

[20] [20] Guo H, Huang PS. 3-D shape measurement by use of a modified fourier transform method［C］. SPIE, 2008, 7066.

[21] [21] Qian K M. Applications of windowed Fourier fringe analysis in optical measurement： A review［J］. Optics and Lasers in Engineering, 2015, 66： 67-73.

[22] [22] Zhang Z H, Guo H W. Fringe phase extraction using windowed Fourier transform guided by principal component analysis［J］. Applied Optics, 2013, 52(27)： 6804-6812.

[23] [23] Zhang Z H, Jing Z, Wang Z H, et al. Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase calculation at discontinuities in fringe projection profilometry［J］. Optics and Lasers in Engineering, 2012, 50(8)： 1152-1160.

[24] [24] Wu Haitao, Cao Yiping, An Haihua, et al. A novel phase-shifting profilometry to realize temporal phase unwrapping simultaneously with the least fringe patterns［J］. Optics and Lasers in Engineering, 2022, 153： 107004.

[25] [25] Song J W, Lau D L, Ho Y S, et al. Automatic look-up table based real-time phase unwrapping for phase measuring profilometry and optimal reference frequency selection［J］. Optics Express, 2019, 27(9)： 13357-13371.

[26] [26] Zuo C, Chen Q, Gu G H, et al. High-speed three-dimensional shape measurement for dynamic scenes using bi-frequency tripolar pulse-width-modulation fringe projection［J］. Optics and Lasers in Engineering, 2013, 51(8)： 953-960.

[27] [27] Feng S J, Zuo C, Tao T Y, et al. Robust dynamic 3-D measurements with motion-compensated phase-shifting profilometry［J］. Opt. Laser Eng., 2018, 103： 127-138.

[28] [28] Wang Y, Liu Z, Jiang C, et al. Motion induced phase error reduction using a Hilbert transform［J］. Opt. Express, 2018, 26(26)： 34224-34235.

[30] [30] Zhai A P, Cao Y P, He Y H. 3D measurement with orthogonal composite structure light based on two-plus-one phase-shifting algorithm［J］. Chinese Lasers, 2012, 39(2)： 0208003-0208006.

[31] [31] Zhai A P, Cao Y P, Huang Z F, et al. A novel composite -structure-light 3D measurement method for improving accuracy based on two plus one phase shifting algorithm［J］. Optik(Stuttgart), 2013, 124(5)： 461-465.

[32] [32] Zhang S, Yau S T. High-speed three-dimensional shape measurement system using a modified two-plus-one phase-shifting algorithm［J］. Optical Engineering, 2007, 46(11).

[33] [33] Li H M, Cao Y P, Wang Y P, et al. Composite-structured-light profilometry using greyscale expansion［J］. Optik (Stuttgart), 2020, 212： 164711.

[34] [34] An H H, Cao Y P, Li H M, et al. An accuracy improving method for composite grating phase measuring profilometry［J］. Optics Communications, 2020, 477： 126343.

[35] [35] An H H, Cao Y P, Li H M, et al. A composite grating phase-measuring profilometry based on mixed filtering window［J］. Chinese Lasers, 2020, 47(6)： 0604007.

[36] [36] He D W, Cao Y P. Real-time Phase Measuring Profilometry based on RGB Tricolor［J］. Tool Engineering, 2015, 49 (5)： 89-93.

[37] [37] Wang J H, Yang Y X. Double N-step phase-shifting profilometry using color-encoded grating projection［J］. Chinese Optics, 2019, 12(3)： 616-627.

[38] [38] Zhong M, Su X Y, Chen W J, et al. Modulation measuring profilometry with auto-synchronous phase shifting and vertical scanning［J］. Optics Express, 2014, 22(26)： 31620-31634.

[39] [39] Takasaki H. Moiré topography from its birth to practical application［J］. Opt. Laser Eng., 1982： 1662-1668.

[40] [40] Mishra D, Blotter J D. Comparison of reference image generation techniques for projection moire interferometry［J］. Applied Optics, 2001, 40(31)： 5624-5631.

[41] [41] Wegdam A M F, Podzimek O, Zijlstra S. Projection moire fring pattern prediction using the optical transfer-function［J］. Applied Optics, 1991, 30(13)： 1673-1677.

[42] [42] Tang Y, Chen J B. Design considerations for rotation scanning projection moire topography［J］. Measurement Science and Technology, 2020, 31(4)： 45018.

[43] [43] Su D, Zhu Y M. Scanning moire fringe imaging by scanning transmission electron microscopy［J］. Ultramicroscopy, 2010, 110(3)： 229-233.

[44] [44] Mohammadi F, Kofman J. Improved grid-noise removal in single-frame digital moire 3D shape measurement［J］. Optics and Lasers in Engineering, 2016, 86： 143-155.

[45] [45] Li C M, Cao Y P, Chen C, et al. Computer-generated Moire profilometry［J］. Optics Express, 2017, 25(22)： 26815-26824.

[46] [46] Li C M, Cao Y P, Wang L, et al. Real-time computer-generated moiré profilometry with adaptive filtering algorithm［J］. Optical Engineering, 2020, 59(3).

[47] [47] Li C M, Cao Y P, Wang L, et al. High precision computer-generated moiré profilometry［J］. Scientific Reports, 2019, 9： 7804.

[48] [48] Li C M, Cao Y P, Wang L, et al. Computer-generated moiré profilometry based on fringe-superposition［J］. Scientific Reports, 2020, 20： 17202.

[49] [49] Li C M, Cao Y P, Wan Y Y, et al. Computer-generated frequency-carrier moiré profilometry［J］. Optics Communications, 2021, 501： 127381.

[50] [50] Wang L, Cao Y P, Li C M, et al. Orthogonal modulated computer-generated moiré profilometry［J］. Optic Communications, 2020, 455： 124565.

[51] [51] Guan C, Hassebrook L, Lau D. Composite structured light pattern for three-dimensional video［J］. Opt. Express, 2003, 11 (5)： 406-417.

[52] [52] Yue H M, Su X Y, Liu Y Z. Fourier transform profilometry based on composite structured light pattern［J］. Optics and Laser Technology, 2007, 39(6)： 1170-1175.

[53] [53] Wu Y C, Cao Y P, Huang Z F, et al. Improved composite Fourier transform profilometry［J］. Optics and Laser Technology, 2012, 44(7)： 2037-2042.

[54] [54] Peng K, Cao Y P, Wu Y C, et al. A new method using orthogonal two-frequency grating in online 3D［J］. Measurement, 2016, 83： 81-88.

[55] [55] Wang L, Cao Y P, Li C M, et al. Improved computer-generated moiré profilometry with flat image calibration［J］. Applied Optics, 2021, 60(5)： 1209-1261.

[56] [56] Wang L, Cao Y P, Li C M, et al. Computer-generated moiré profilometry based on flat image demodulation［J］. Optical Review, 2021, 28(5)： 546-556.

[57] [57] Wang Z Y, Nguyen D A, Barnes J C. Some practical considerations in fringe projection profilometry［J］. Opt. Laser Eng., 2010, 48(2)： 218-225.

[58] [58] Kong X L, Jin Y, Wang Z B. DSP implementation of nonlinearity correction method for optical grating fringe image processing［J］. Zhongguo Ceshi / China Measurement & Test, 2015, 41(4)： 66-69.

[59] [59] Liu K, Wang Y C, Lau D L, et al. Gamma model and its analysis for phase measuring profilometry［J］. Jounal of the Optical Society of America a-Optics Image. Science and Vision, 2010, 27(3)： 553-562.

[60] [60] Qiao N, Quan C. Dual-frequency fringe projection for 3D shape measurement based on correction of gamma nonlinearity［J］. Optics and Laser Technology, 2018, 106： 378-384.

[61] [61] Li H M, Cao Y P, Wan Y Y, et al. A super-grayscale and real-time computer-generated Moire profilometry using video grating projection［J］. Scientific Reports, 2021, 11(1)： 1-11.

[62] [62] Li J L, Hassebrook L G, Guan C. Optimized two-frequency phase-measuring-profilometry light-sensor temporal-noise sensitivity［J］. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 2003, 20 (1)： 106-115.

[63] [63] Dai M L, Yang F J, Liu C, et al. A dual-frequency fringe projection three-dimensional shape measurement system using a DLP 3D projector［J］. Optics Communications, 2017, 382： 294-301.

[64] [64] Manuel S, Moises P, Guillermo G. Super sensitive two-wavelength fringe projection profilometry with 2-sensitivities temporal unwrapping［J］. Opt. Laser Eng., 2018, 106： 68-74.

[65] [65] Wang Y J, Yang S, Gou X Y. Modified Fourier transform method for 3D profile measurement without phase unwrapping［J］. Optics Letters, 2010, 35(5)： 790-792.

[66] [66] Su W H. Color-encoded fringe projection for 3D shape measurements［J］. Optics Express, 2007, 15(20)： 13167-13181.

[67] [67] Cheng T, Du Q Y, Jiang Y X. Color fringe projection profilometry using geometric constraints［J］. Optics Communications., 2017, 398： 39-43.

[68] [68] Wan Y Y, Cao Y P, Chen C, et al. Three-dimensional shape measurement for thin objects based on hue-height mapping using color-encoded fringe projection［J］. Transactions of the Institute of Measurement and Control., 2018, 40(14)： 3978-3984.

[69] [69] Zhang H C, Cao Y P, Li C M, et al. Color-encoded single-shot computer-generated Moire Profilometry［J］. Scientific Reports, 2021, 11(1)： 11020.

[70] [70] Zhang H C, Cao Y P, Li C M, et al. Color-coded computer- generated Moire profilometry with real -time 3D measurement and synchronous monitoring video collection［J］. Opt. Eng., 2021, 60(3)： 034109.

[71] [71] Li H M, Cao Y P, Wu H T, et al. A dual-frequency temporal-geometric phase unwrapping based on computer-generated frequency-carrier Moiré profilometry［J］. Measurement, 2022, 200.

[72] [72] An Y T, Hyun J S, Zhang S. Pixel-wise absolute phase unwrapping using geometric constraints of structured light system［J］. Optics Express, 2016, 24(16)： 18445-18459.

[73] [73] Zuo C, Huang L, Zhang M L, et al. Temporal phase unwrapping algorithms for fringe projection profilometry：A comparative review［J］. Optics and Lasers in Engineering, 2016, 85(C)： 84-103.

[74] [74] Xing Y, Quan C, Tay C J. A generalized multi-sensitivity temporal phase unwrapping method for absolute phase retrieval［J］. Optics and Laser Technology, 2017, 96： 290-298.

[75] [75] Zhang S. Phase unwrapping error reduction framework for a multiple- wavelength phase- shifting algorithm［J］. Opt. Eng, 2009, 48(10)： 105601.

[76] [76] Liu K, Wang Y C, Lau D L, et al. Dual-frequency pattern scheme for high- speed 3-D shape measurement［J］. Opt. Exp. , 2010, 18(5)： 5229-5244.

[77] [77] Wan Y Y, Cao Y P, Kofman J. High-accuracy 3D surface measurement using hybrid multi-frequency composite-pattern temporal phase unwrapping［J］. Optics Express, 2020, 28(26)： 39165-39180.

[78] [78] Zuo C, Chen Q, Gu G H, et al. High-speed three-dimensional profilometry for multiple objects with complex shapes［J］. Optics Express, 2012, 20(17)： 19493-19510.

[79] [79] Wu H T, Cao Y P, An H H, et al. A novel phase-shifting profilometry to realize temporal phase unwrapping simultaneously with the least fringe patterns［J］. Optics and Lasers in Engineering, 2022, 153： 107004.

[80] [80] N Yang, Y P Cao, H H An, et al. Single-shot N-step phase measurement profilometry［J］. Optical Engineering, 2022, 61(4)： 044105(1-15).