Calculation of Local Fringe Direction in Moiré Patterns Based on Phase Fitting

Pengyong Xue; Yong He; Renhui Guo; Jianxin Li; Haifei Xu

doi:10.3788/LOP57.241009

Laser & Optoelectronics Progress, Volume. 57, Issue 24, 241009(2020)

Calculation of Local Fringe Direction in Moiré Patterns Based on Phase Fitting

Pengyong Xue^1、*, Yong He^1,2、*, Renhui Guo^1,2, Jianxin Li^1,2, and Haifei Xu¹

¹School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China

²Key Laboratory of Advanced Solid Laser Industry and Information Technology Ministry, Nanjing, Jiangsu 210094, China

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Figures & Tables(9)

Fig. 1. Moiré patterns taken by CCD. (a) Grayscale image; (b) intensity distributions along the central line

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Fig. 2. Flow chart of phase fitting algorithm

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Fig. 3. Grayscale images of three types of moiré patterns. (a) Ring; (b) straight line; (c) curve

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Fig. 4. Theoretical angular distribution of three types of moiré patterns. (a) Ring; (b) straight line; (c) curve

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Fig. 5. Calculated angular distribution of three types of moiré patterns. (a) Ring; (b) straight line; (c) curve

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Fig. 6. Angle error distribution of three types of moiré patterns. (a) Ring; (b) straight line; (c) curve

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Fig. 7. Mean and standard deviation of moiré fringe angle error calculated at different noise and fringe numbers. (a) Ring; (b) straight line; (c) curve

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Table 1. Mean errors of moiré fringe angle calculated at different noises and fringe numbers

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Table 1. Mean errors of moiré fringe angle calculated at different noises and fringe numbers

Type of moiré fringe	Noise gray level	Mean error /(°)
Type of moiré fringe	Noise gray level	N = 1	N = 2	N = 3	N = 4	N = 5	N = 6	N = 7	N = 8
Ring	30	4.979	0.256	0.121	0.119	0.088	0.059	0.062	0.080
	50	3.160	0.349	0.187	0.148	0.131	0.060	0.083	0.101
	70	3.500	0.500	0.210	0.208	0.155	0.123	0.124	0.163
Straight line	30	1.114	0.067	0.043	0.034	0.033	0.023	0.026	0.028
	50	1.103	0.076	0.067	0.052	0.043	0.030	0.036	0.035
	70	1.089	0.123	0.091	0.070	0.076	0.040	0.037	0.043
Curve	30	2.056	0.396	0.181	0.065	0.063	0.041	0.051	0.038
	50	1.599	0.270	0.216	0.070	0.088	0.059	0.046	0.043
	70	1.517	0.246	0.202	0.094	0.085	0.046	0.057	0.050

Table 2. Standard deviation of the error of moiré fringe angle calculated at different noises and fringe numbers

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Table 2. Standard deviation of the error of moiré fringe angle calculated at different noises and fringe numbers

Type of moiré fringe	Noise gray level	Standard deviation of the error /(°)
Type of moiré fringe	Noise gray level	N = 1	N = 2	N = 3	N = 4	N = 5	N = 6	N = 7	N = 8
Ring	30	3.736	0.186	0.074	0.064	0.049	0.034	0.015	0.038
	50	1.742	0.127	0.089	0.058	0.066	0.035	0.040	0.057
	70	2.002	0.222	0.099	0.063	0.073	0.047	0.060	0.054
Straight line	30	0.434	0.023	0.015	0.014	0.011	0.005	0.007	0.009
	50	0.737	0.029	0.021	0.021	0.013	0.012	0.015	0.011
	70	0.746°	0.058°	0.039°	0.023°	0.020°	0.018°	0.014°	0.012°
Curve	30	1.130°	0.180°	0.105°	0.013°	0.022°	0.005°	0.013°	0.004°
	50	0.809°	0.167°	0.089°	0.020°	0.026°	0.025°	0.008°	0.007°
	70	0.919°	0.163°	0.148°	0.036°	0.021°	0.013°	0.016°	0.014°

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Pengyong Xue, Yong He, Renhui Guo, Jianxin Li, Haifei Xu. Calculation of Local Fringe Direction in Moiré Patterns Based on Phase Fitting[J]. Laser & Optoelectronics Progress, 2020, 57(24): 241009

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Paper Information

Category: Image Processing

Received: Apr. 23, 2020

Accepted: Jun. 9, 2020

Published Online: Dec. 2, 2020

The Author Email: Xue Pengyong (heyong@njust.edu.cn), He Yong (heyong@njust.edu.cn)

DOI:10.3788/LOP57.241009

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology