| Citation: | QIAO Nao-sheng, SHANG Xue. Phase measurement with dual-frequency grating in a nonlinear system[J]. Chinese Optics, 2023, 16(3): 726-732. doi: 10.37188/CO.EN.2022-0013
|
To gain better phase measurement results in nonlinear measurement systems, a phase measurement method that uses dual-frequency grating after reducing the nonlinear effect is proposed. Firstly, the nonlinear effect of the phase measurement system is discussed, the basic reason for the existence of high-order spectra components in the frequency domain is analyzed, and the basic method used to reduce the nonlinear effect and separate fundamental frequency information is given. Then, on the basis of reducing the nonlinear effect’s influence on the system, the basic principle of phase measurement for the fringe image of a measured object using the dual-frequency grating method is analyzed. To verify the correctness and effectiveness of the proposed phase measurement method, a computer simulation and a practical experiments were implemented with good results. In the simulation, the error value of this method was 27.97% for the method with nonlinear influence, and 52.51% for that with almost no nonlinear influence. In the experiment, the effect of phase recovery produces the best results. This shows that the proposed phase measurement method is effective with a small error.
| [1] |
CAI B L, YANG Y, WU J, et al. An improved gray-level coding method for absolute phase measurement based on half-period correction[J]. Optics and Lasers in Engineering, 2020, 128: 106012. doi: 10.1016/j.optlaseng.2020.106012
|
| [2] |
PENG R J, TIAN M R, XU L, et al. A novel method of generating phase-shifting sinusoidal fringes for 3D shape measurement[J]. Optics and Lasers in Engineering, 2021, 137: 106401. doi: 10.1016/j.optlaseng.2020.106401
|
| [3] |
HOU Y L, LIANG H G, LI F Q, et al. Spatial-temporal combined phase unwrapping in phase measurement profilometry[J]. Acta Optica Sinica, 2022, 42(1): 0112006. (in Chinese) doi: 10.3788/AOS202242.0112006
|
| [4] |
QIAO Z K. Study for phase retrieval based on dual frequency grating projection[J]. Optik, 2021, 245: 167668. doi: 10.1016/j.ijleo.2021.167668
|
| [5] |
ZHANG X, SHAO SH Y, ZHU X, et al. Measurement and calibration of the intensity transform function of the optical 3D profilometry system[J]. Chinese Optics, 2018, 11(1): 123-130. (in Chinese) doi: 10.3788/co.20181101.0123
|
| [6] |
YIN W, HU Y, FENG SH J, et al. Single-shot 3D shape measurement using an end-to-end stereo matching network for speckle projection profilometry[J]. Optics Express, 2021, 29(9): 13388-13407. doi: 10.1364/OE.418881
|
| [7] |
XIAO Y SH, CAO Y P, WU Y CH, et al. Single orthogonal sinusoidal grating for gamma correction in digital projection phase measuring profilometry[J]. Optical Engineering, 2013, 52(5): 053605. doi: 10.1117/1.OE.52.5.053605
|
| [8] |
YE X, CHENG H B, WU H Y, et al. Gamma correction for three-dimensional object measurement by phase measuring profilometry[J]. Optik, 2015, 126(24): 5534-5538. doi: 10.1016/j.ijleo.2015.09.028
|
| [9] |
YANG Y, HOU Q Y, LI Y, et al. Phase error compensation based on Tree-Net using deep learning[J]. Optics and Lasers in Engineering, 2021, 143: 106628. doi: 10.1016/j.optlaseng.2021.106628
|
| [10] |
KAMAGARA A, WANG X ZH, LI S K. Towards gamma-effect elimination in phase measurement profilometry[J]. Optik, 2018, 172: 1089-1099. doi: 10.1016/j.ijleo.2018.07.059
|
| [11] |
LI D L, CAO Y P. 2+1 phase-shifting algorithm based on background correction[J]. Acta Photonica Sinica, 2019, 48(4): 0415001. (in Chinese) doi: 10.3788/gzxb20194804.0415001
|
| [12] |
QIAO N SH, SUN P. Influence of CCD nonlinearity effect on the three-dimensional shape measurement of dual frequency grating[J]. Chinese Optics, 2021, 14(3): 661-669. (in Chinese) doi: 10.37188/CO.2020-0143
|
| [13] |
DU M X, YAN Y F, ZHANG R, et al. 3D position angle measurement based on a lens array[J]. Chinese Optics, 2022, 15(1): 45-55. (in Chinese) doi: 10.37188/CO.2021-0129
|
| [14] |
LI J, SU X Y, GUO L R. Improved Fourier transform profilometry for the automatic measurement of three-dimensional object shapes[J]. Optical Engineering, 1990, 29(12): 1439-1444. doi: 10.1117/12.55746
|
| [15] |
TAKEDA M, MUTOH K. Fourier transform profilometry for the automatic measurement of 3-D object shapes[J]. Applied Optics, 1983, 22(24): 3977-3982. doi: 10.1364/AO.22.003977
|
| [16] |
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. doi: 10.1016/j.optcom.2016.08.004
|
Figures(6)
DownLoad:
