Calculation of Local Fringe Direction in Moir&#233; Patterns Based on Phase Fitting

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

doi:10.3788/LOP57.241009

Journals >Laser & Optoelectronics Progress >Volume 57 >Issue 24 >Page 241009 > Article

Laser & Optoelectronics Progress
Vol. 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

Author Affiliations

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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DOI: 10.3788/LOP57.241009 Cite this Article Set citation alerts

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 Copy Citation Text

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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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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 1. Mean errors 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°

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

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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