| Citation: | FENG Lu-yuan, LIANG Jian, WANG Xiang-jun, ZHAO Zong-yang, CHEN Yi-fan, WU Bin. High-precision color crosstalk coefficient calibration method based on phase error estimation[J]. Chinese Optics. doi: 10.37188/CO.EN-2025-0041
|
Color-coded fringe patterns have emerged as a key technique for enabling real-time three-dimensional (3D) shape measurement in fringe projection profilometry (FPP). However, color crosstalk inherent in color cameras remains a significant factor limiting measurement accuracy. To mitigate this issue, a high-precision calibration method for color crosstalk coefficients is proposed to enable effective correction in this paper. Specifically, a crosstalk coefficient estimator is developed based on orthogonal phase-shifted fringe patterns, and the theoretical relationship between the crosstalk coefficients and phase error is derived. The color orthogonal fringes are then designed to project onto a standard planar target to acquire separated R, G, and B channel patterns. Finally, a particle swarm optimization (PSO) algorithm is introduced to optimize the crosstalk-induced phase errors and calibrate the crosstalk coefficients with high precision. Experimental validation based on a standard dual-sphere calibration plate shows that the diameter fitting errors of the two spheres are 0.0191 mm and 0.0160 mm, respectively, and the error in the calculated center-to-center distance is as low as 0.0120 mm, which demonstrate that the proposed method can effectively enhance the measurement accuracy and applicability of color cameras in fringe projection technology.
| [1] |
WEI P F, DU H B, ZHU Q, et al. Single-frame color stripe contour technique based on fast iterative filtering[J]. Chinese Optics, 2025, 18(5): 1097-1110. (in Chinese).
|
| [2] |
YANG T, GU F F. Overview of modulation techniques for spatially structured-light 3D imaging[J]. Optics & Laser Technology, 2024, 169: 110037. doi: 10.1016/j.optlastec.2023.110037
|
| [3] |
FORBES A, DE OLIVEIRA M, DENNIS M R. Structured light[J]. Nature Photonics, 2021, 15(4): 253-262. doi: 10.1038/s41566-021-00780-4
|
| [4] |
WANG ZH Y, ZHANG N N, GAO N, et al. 3D surface shape measurement of high dynamic range object based on monochrome fringe projection[J]. Infrared and Laser Engineering, 2023, 52(8): 202303. (in Chinese).
|
| [5] |
FU L N, ZHANG Z H, HUANG H, et al. Three-dimensional shape measurement based on color complementary phase coding method[J]. Optics and Lasers in Engineering, 2024, 180: 108316. doi: 10.1016/j.optlaseng.2024.108316
|
| [6] |
PAN J H, HUANG P S, CHIANG F P. Color phase-shifting technique for three-dimensional shape measurement[J]. Optical Engineering, 2018, 38(8): 0815005. ZHANG Z H, LIAN X J, GAO N. Crosstalk elimination method for color composite fringe projection measuring systems[J]. Acta Optica Sinica, 2018, 38(8): 0815005. (in Chinese). doi: 10.3788/AOS201838.0815005
|
| [7] |
YUAN L W, KANG J H, FENG L Y, et al. Accurate calibration for crosstalk coefficient based on orthogonal color phase-shifting pattern[J]. Optics Express, 2023, 31(14): 23115-23126. doi: 10.1364/OE.495388
|
| [8] |
LIU B, WANG C L, WANG S, et al. Color crosstalk compensation method for color phase-shifting fringe projection profilometry based on the phase correction matrix[J]. Optics Express, 2024, 32(4): 5793-5808. doi: 10.1364/OE.514014
|
| [9] |
ZHANG Z H, XU Y J, LIU Y. Crosstalk reduction of a color fringe projection system based on multi-frequency heterodyne principle[J]. Proceedings of SPIE, 2013, 9046: 904607. doi: 10.1117/12.2034238
|
| [10] |
YUE M K, WANG J Y, ZHANG J S, et al. Color crosstalk correction for synchronous measurement of full-field temperature and deformation[J]. Optics and Lasers in Engineering, 2022, 150: 106878. doi: 10.1016/j.optlaseng.2021.106878
|
| [11] |
ZHOU H H, ZHAO H, ZHOU X. Triple-frequency color-encoded fringe projection profilometry based on empirical mode decomposition[J]. Acta Optica Sinica, 2011, 31(8): 0812009. (in Chinese). doi: 10.3788/AOS201131.0812009
|
| [12] |
WANG Y W, LIU L, WU J, et al. Hilbert transform-based crosstalk compensation for color fringe projection profilometry[J]. Optics Letters, 2020, 45(8): 2199-2202. doi: 10.1364/OL.392061
|
| [13] |
QIAN J M, FENG SH J, LI Y X, et al. Single-shot absolute 3D shape measurement with deep-learning-based color fringe projection profilometry[J]. Optics Letters, 2020, 45(7): 1842-1845. doi: 10.1364/OL.388994
|
| [14] |
ZHANG B W, LIN SH N, LIN J Y, et al. Single-shot high-precision 3D reconstruction with color fringe projection profilometry based BP neural network[J]. Optics Communications, 2022, 517: 128323. doi: 10.1016/j.optcom.2022.128323
|
| [15] |
HUANG H ZH, NIU B, CHENG SH, et al. Color projector light intensity adaptive high dynamic range 3D measurement method[J]. Chinese Optics, 2025, 18(5): 1219-1229. (in Chinese). doi: 10.37188/CO.EN-2024-0038
|
| [16] |
MENON D, CALVAGNO G. Color image demosaicking: an overview[J]. Signal Processing: Image Communication, 2011, 26(8-9): 518-533. doi: 10.1016/j.image.2011.04.003
|
| [17] |
SUN Y, BABU P, PALOMAR D P. Majorization-minimization algorithms in signal processing, communications, and machine learning[J]. IEEE Transactions on Signal Processing, 2017, 65(3): 794-816. doi: 10.1109/TSP.2016.2601299
|
| [18] |
WANG D SH, TAN D P, LIU L. Particle swarm optimization algorithm: an overview[J]. Soft Computing, 2018, 22(2): 387-408. doi: 10.1007/s00500-016-2474-6
|
| [19] |
FENG L Y, KANG J H, LI H T, et al. Rapid and flexible calibration of DFPP using a dual-sight fusion target[J]. Optics Letters, 2023, 48(8): 2086-2089. doi: 10.1364/OL.488400
|
Figures(12) / Tables(2)
DownLoad:
