Sub-Pixel Matching Method for Parameterized Shape Function

Fig. 3. Gaussian speckle images generated by software. (a) Speckle diameter of 2 pixel; (b) speckle diameter of 10 pixel; (c) speckle diameter of 20 pixel

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Fig. 4. Regulation law of shape function parameter $α$ on sub-pixel matching error

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Fig. 5. Regulation law of shape function parameter $β$ on sub-pixel matching error

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Fig. 6. Calibration process of shape function parameters

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Fig. 7. Influence of speckle diameter on shape function parameter $α$

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Fig. 8. Influence of speckle diameter on shape function parameter $β$

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Fig. 9. Actual displacement speckle image provided by DIC Challenge

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Table 1. Verification results for speckle diameter of 2 pixel at $α = 0.7212$ and $β = - 3.00$

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Table 1. Verification results for speckle diameter of 2 pixel at $α = 0.7212$ and $β = - 3.00$

A	B	C	B－A	C－A	C－B
0.1	0.1002	0.1002	0.0002	0.0002	0
0.2	0.2002	0.2005	0.0002	0.0005	0.0003
0.3	0.3000	0.3004	0	0.0004	0.0004
0.4	0.3999	0.3996	-0.0001	-0.0004	-0.0003
0.5	0.4996	0.4995	-0.0004	-0.0005	-0.0001
0.6	0.5995	0.5997	-0.0005	-0.0003	0.0002
0.7	0.6994	0.6991	-0.0006	-0.0009	-0.0003
0.8	0.7995	0.7993	-0.0005	-0.0007	-0.0002
0.9	0.8997	0.8998	-0.0003	-0.0002	0.0001

Table 2. Verification results for speckle diameter of 10 pixel at $α = 0.5072$ and $β = - 0.08$

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Table 2. Verification results for speckle diameter of 10 pixel at $α = 0.5072$ and $β = - 0.08$

A	B	C	B－A	C－A	C－B
0.1	0.1000	0.1000	0	0	0
0.2	0.2001	0.2000	0.0001	0	-0.0001
0.3	0.3000	0.3003	0	0.0003	0.0003
0.4	0.4000	0.4005	0	0.0005	0.0005
0.5	0.4999	0.4999	-0.0001	-0.0001	0
0.6	0.6002	0.5998	0.0002	-0.0002	-0.0004
0.7	0.7001	0.7000	0.0001	0	-0.0001
0.8	0.8002	0.8002	0.0002	0.0002	0
0.9	0.9001	0.9002	0.0001	0.0002	0.0001

Table 3. Verification results for speckle diameter of 20 pixel at $α = 0.4871$ and $β = - 0.08$

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Table 3. Verification results for speckle diameter of 20 pixel at $α = 0.4871$ and $β = - 0.08$

A	B	C	B－A	C－A	C－B
0.1	0.1002	0.1002	0.0002	0.0002	0
0.2	0.2000	0.1997	0	-0.0003	-0.0003
0.3	0.2999	0.2999	-0.0001	-0.0001	0
0.4	0.3999	0.4002	-0.0001	0.0002	0.0003
0.5	0.5002	0.5003	0.0002	0.0003	0.0001
0.6	0.5999	0.5996	-0.0001	-0.0004	-0.0003
0.7	0.6998	0.6999	-0.0002	-0.0001	0.0001
0.8	0.7998	0.8001	-0.0002	0.0001	0.0003
0.9	0.8995	0.8995	-0.0005	-0.0005	0

Table 4. Influence of speckle diameter on shape function parameters

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Table 4. Influence of speckle diameter on shape function parameters

Diameter /pixel	2	3	4	5	6	7	8	9	10	15	20
$α$	0.7212	0.5882	0.5467	0.5285	0.5188	0.5114	0.5069	0.5039	0.5072	0.4914	0.4871
$β$	-3.00	-0.45	-0.25	-0.15	-0.10	-0.10	-0.10	-0.08	-0.08	-0.08	-0.08
$δ$ /pixel	<0.001	<0.001	<0.001	<0.001	<0.001	<0.001	<0.001	<0.001	<0.001	<0.001	<0.001

Table 5. Verification data of DIC Challenge displacement speckle image at $α = 0.6152$ and $β = - 0.5$ 0

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Table 5. Verification data of DIC Challenge displacement speckle image at $α = 0.6152$ and $β = - 0.5$ 0

Stage position	D₁	D₂	E₁	E₂	Verification
0.100187	0.1015	0.100181	0.001313	-0.000006	<0.001
0.200375	0.2022	0.199571	0.001825	-0.000804	<0.001
0.300568	0.3037	0.299752	0.003132	-0.000816	<0.001
0.400753	0.4059	0.400623	0.005147	-0.000130	<0.001
0.500938	0.5068	0.500212	0.005862	-0.000726	<0.001
0.601122	0.6084	0.600491	0.007278	-0.000631	<0.001
0.701314	0.7112	0.701954	0.009886	0.000640	<0.001
0.801506	0.8127	0.802135	0.011194	0.000629	<0.001
0.901692	0.9138	0.901921	0.012108	0.000229	<0.001
1.001879	1.0156	1.002397	0.013721	0.000518	<0.001

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Congyu Xu, Biao Wang. Sub-Pixel Matching Method for Parameterized Shape Function[J]. Acta Optica Sinica, 2023, 43(7): 0712002

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Sep. 22, 2022

Accepted: Oct. 21, 2022

Published Online: Apr. 6, 2023

The Author Email: Xu Congyu (xucongyu@hfut.edu.cn), Wang Biao (wangbiao@hfut.edu.cn)

DOI:10.3788/AOS221732

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Verification results for speckle diameter of 2 pixel at α=0.7212 and β=-3.00

Table 1. Verification results for speckle diameter of 2 pixel at α=0.7212 and β=-3.00

Table 2. Verification results for speckle diameter of 10 pixel at α=0.5072 and β=-0.08

Table 2. Verification results for speckle diameter of 10 pixel at α=0.5072 and β=-0.08

Table 3. Verification results for speckle diameter of 20 pixel at α=0.4871 and β=-0.08

Table 3. Verification results for speckle diameter of 20 pixel at α=0.4871 and β=-0.08

Table 4. Influence of speckle diameter on shape function parameters

Table 4. Influence of speckle diameter on shape function parameters

Table 5. Verification data of DIC Challenge displacement speckle image at α=0.6152 and β=-0.50

Table 5. Verification data of DIC Challenge displacement speckle image at α=0.6152 and β=-0.50

Table 1. Verification results for speckle diameter of 2 pixel at $α = 0.7212$ and $β = - 3.00$

Table 1. Verification results for speckle diameter of 2 pixel at $α = 0.7212$ and $β = - 3.00$

Table 2. Verification results for speckle diameter of 10 pixel at $α = 0.5072$ and $β = - 0.08$

Table 2. Verification results for speckle diameter of 10 pixel at $α = 0.5072$ and $β = - 0.08$

Table 3. Verification results for speckle diameter of 20 pixel at $α = 0.4871$ and $β = - 0.08$

Table 3. Verification results for speckle diameter of 20 pixel at $α = 0.4871$ and $β = - 0.08$

Table 5. Verification data of DIC Challenge displacement speckle image at $α = 0.6152$ and $β = - 0.5$ 0

Table 5. Verification data of DIC Challenge displacement speckle image at $α = 0.6152$ and $β = - 0.5$ 0