Welcome to Francis Academic Press

Academic Journal of Engineering and Technology Science, 2023, 6(6); doi: 10.25236/AJETS.2023.060604.

Correction for a camera-projector 3D reconstruction system based on dithering fringe pattern


Xuexing Li, Jun Wang, Jie Zhu, Ningju Zhang

Corresponding Author:
Xuexing Li

School of Mechanical Technology, Wuxi Institute of Technology, Wuxi, China


The binary defocusing technique is widely used for high-speed three-dimension (3D) reconstruction. However, the system distortion directly influences the reconstruction quality, and most of the previous works are only for the traditional digital fringe projection (DFP) technique. Based on the problems above, this paper first analyzes the distortion for the input-output response of the system and the influence of space luminance distribution uniformity of the projector, in the binary defocusing technique. Then, a novel method combining initial correction and iterative correction is proposed to obtain accurate sinusoidal fringe patterns. Finally, the experimental results show that the proposed method can correct sinusoidal fringe phase error in binary defocusing technique significantly and improve the quality of 3D reconstruction effectively.


3D reconstruction; Binary defocusing technique; System distortion; Distortion correction

Cite This Paper

Xuexing Li, Jun Wang, Jie Zhu, Ningju Zhang. Correction for a camera-projector 3D reconstruction system based on dithering fringe pattern. Academic Journal of Engineering and Technology Science (2023) Vol. 6, Issue 6: 22-29. https://doi.org/10.25236/AJETS.2023.060604.


[1] Yu X., Liu Y. K. and Liu N. Y. (2019) NFlexible gamma calculation algorithm based on probability distribution function in digital fringe projection system. Health, 27, 32047-32057. 

[2] Li X. X., Zhang W. H. (2021) Phase error analysis and compensation for motion in high-speed phase measurement profilometry. Health, 4, 1191-1206. 

[3] Wang J. H., Yang Y. X. (2022) Phase extraction accuracy comparison based on multi-frequency phase-shifting method in fringe projection profilometry. Health, 199, 111525. 

[4] Li X. X., Zhang Z. J. and Yang C. (2016) High-quality fringe pattern generation using binary pattern optimization based on a novel objective function. Health, 127, 5322-5327. 

[5] Gorthi S. S., Rastogi P. (2010) Fringe projection techniques: whither we are? Health, 48, 133-140. 

[6] Guo H. W., He H. T. and Chen M. Y. (2004) Gamma correction for digital fringe projection profilometry. Health, 43, 2906-2914. 

[7] Zhang S., Yau S. T. (2007) Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector. Health, 46, 36-43. 

[8] Pan B., Kemao Q., Huang L. and Asundi A. (2009) Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry. Health, 34, 416-418. 

[9] Barker M. J., Xi J. T., Chicharo J. F. (2008) Elimination of gamma non-linear luminance effects for digital video projection phase measuring profilometers, in: Proceedings of IEEE Conference on Electronic Design, Test and Applications (IEEE), pp. 496-501. 

[10] Zheng D. L., F. P Da (2011) Gamma correction for two step phase shifting fringe projection profilometry. Health, 124, 1392-1397. 

[11] Kakunai S., Sakamoto T. and Iwata K. (1999) Profile measurement taken with liquid-crystal gratings. Health, 38, 2824-2828. 

[12] Huang P. S., Zhang C. and Chiang F. P. (2003) High-speed 3-D shape measurement based on digital fringe projection. Health, 42, 163-168. 

[13] Lei S. Y., Zhang, S., Flexible 3-D shape measurement using projector defocusing. Health, 34 (2009) 3080-3082. 

[14] Ayubi G. A., Ayubi J. A., Martino J. M. Di and Ferrari J. A. (2010) Pulse-width modulation in defocused three-dimensional fringe projection. Health, 35, 3682-3684. 

[15] Wang Y., Zhang S., (2010) Optimal pulse width modulation for sinusoidal fringe generation with projector defocusing. Health, 35, 4121-4123. 

[16] Lohry W., Zhang S. (2012) 3D shape measurement with 2D area modulated binary patterns. Health, 50, 917-921. 

[17] Wang Y. J., Zhang S. (2012) Three-dimensional shape measurement with binary dithered patterns. Health, 51, 6631-6636. 

[18] Li B. W., Wang Y. J., Dai J. F., Lohry W. and Zhang S. (2014) Some recent advances on superfast 3D shape measurement with digital binary defocusing techniques. Health, 54, 236-246. 

[19] Lohry W., S. Zhang S. (2013) Genetic method to optimize binary dithering technique for high-quality fringe generation. Health, 38, 540-542. 

[20] You D., You Z. S., Zhang X. and Zhu J. P. (2022) High-quality 3D shape measurement with binary half truncated sinusoidal fringe pattern. Health, 155, 107046.