To address the problems of large number of projected images and high complexity in the traditional fringe projection measurement, this paper proposes a fringe-gray linear projection strategy and phase solution method based on Hilbert transform. The proposed method simplifies the measurement process by using only three projection images:one high-frequency fringe image and two grayscale linear change maps. The wrapping phase is obtained by the Hilbert transform, and the basic phase is obtained by using the grayscale linear change image. By combining the wrapping phase and the basic phase, the absolute phase, which represents the fringe progression, can be obtained. The 3D reconstruction results obtained by the constructed active binocular system shows that the proposed method can effectively restore the 3D shape of the measured object, with a measurement accuracy of 0.1 mm.
ZHAI Yayu, WANG Meihui, YANG Cheng, LU Jing, LI You
. Three-Dimensional Measurement of Fringe-Gray Linear Projection Based on Hilbert Transform[J]. Journal of Applied Sciences, 2024
, 42(2)
: 302
-313
.
DOI: 10.3969/j.issn.0255-8297.2024.02.011
[1] Zhang S. High-speed 3D shape measurement with structured light methods:a review [J]. Optics and Lasers in Engineering, 2018, 106:119-131.
[2] 邵山川, 陶小平, 王孝坤. 基于条纹反射的超精密车削反射镜的在位面形检测[J]. 激光与光电子学进展, 2018, 55(7):071203. Shao S C, Tao X P, Wang X K. On-machine surface shape measurement of reflective mirrors by ultra-precision turning based on fringe reflection [J]. Laser & Optoelectronics Progress, 2018,55(7):071203. (in Chinese)
[3] Deng J, Li J, Ding S, et al. Fringe projection decamouflaging [J]. Optics and Lasers in Engineering, 2020, 134:10621.
[4] 杨鹏斌, 邓林嘉, 陈元, 等. 基于结构光的高反物体三维形貌测量方法[J]. 中国激光, 2019, 46(2):0204004. Yang P B, Deng L J, Chen Y, et al. Three-dimensional shape measurement of highly reflective objects based on structured light [J]. Chinese Journal of Lasers, 2019, 46(2):0204004. (in Chinese)
[5] Su X Y, Chen W J. Fourier transform profilometry:a review [J]. Optics and Lasers in Engineering, 2001, 35(5):263-284.
[6] Chen F, Brown G M, Song M M. Overview of 3-D shape measurement using optical methods [J]. Optical Engineering, 2000, 39(1):10-22.
[7] Zhao H, Chen W Y, Tan Y S. Phase-unwrapping algorithm for the measurement of threedimensional object shapes [J]. Applied Optics, 1994, 33(20):4497-4500.
[8] Xue J P, Zhang Q C, Li C H, et al. 3D face profilometry based on galvanometer scanner with infrared fringe projection in high speed [J]. Applied Sciences, 2019, 9(7):1458.
[9] 彭旷, 曹益平, 武迎春. 基于满周期等相移算法的改进双频在线相位测量轮廓术[J]. 光学学报, 2019, 39(4):0412012. Peng K, Cao Y P, Wu Y C. Improved dual-frequency on-line phase measuring profilometry based on full-cycle equal phase-shift algorithm [J]. Acta Optica Sinica, 2019, 39(4):0412012. (in Chinese)
[10] He X, Kemao Q. A comparison of n-ary simple code and n-ary gray code phase unwrapping in high-speed fringe projection profilometry [J]. Optics and Lasers in Engineering, 2020, 128:106046.
[11] Wang Y W, Liu L, Wu J, et al. Spatial binary coding method for stripe-wise phase unwrapping [J]. Applied Optics, 2020, 59(14):4279-4285.
