Two-dimensional coordinate image measurement system based on angle intersection

Table 1. Sampling points $m_{i}$ and corresponding pixel value test data
View table
View in Article
Table 1. Sampling points $m_{i}$ and corresponding pixel value test data
$m_{i}_X_{i}$ $C_{x_{i}}$ $m_{i}_X_{i}$ $C_{x_{i}}$ $m_{i}_X_{i}$ $C_{x_{i}}$
1 114 8 72 15 26
2 109 9 66 16 20
3 103 10 62 17 16
4 98 11 54 18 9
5 91 12 45 19 5
6 84 13 40 20 0
7 78 14 32

Table 2. Sampling points $n_{i}$ and corresponding pixel value test data
View table
View in Article
Table 2. Sampling points $n_{i}$ and corresponding pixel value test data
$n_{i}_X_{i}$ $C_{x_{i}}$ $n_{i}_X_{i}$ $C_{x_{i}}$ $n_{i}_X_{i}$ $C_{x_{i}}$
5.0 0 8.5 78 12.0 33
5.5 114 9.0 72 12.5 26
6.0 108 9.5 66 13.0 20
6.5 103 10.0 61 13.5 15
7.0 98 10.5 54 14.0 9
7.5 90 11.0 45 14.5 5
8.0 84 11.5 40 15.0 1

Table 3. Image value and the corresponding $β_{i}$ data
View table
View in Article
Table 3. Image value and the corresponding $β_{i}$ data
$C_{x_{i}}$ $β_{i}$ $C_{x_{i}}$ $β_{i}$ $C_{x_{i}}$ $β_{i}$
0 45.0 78 73.3 32 111.8
114 48.0 72 78.8 26 116.6
108 51.3 66 84.3 20 121.0
103 55.0 61 90.0 15 125.0
98 59.0 54 95.7 9 128.7
90 63.4 45 101.3 5 132.0
84 68.2 40 106.7 1 135.0

Table 4. Coordinate test data when Y=10
View table
View in Article
Table 4. Coordinate test data when Y=10
$Y$ $X$ $Y_{test}$ $X$ $Y_{test}$ $X$ $Y_{test}$
10 1 10.22 8 9.86 15 10.20
10 2 10.07 9 9.87 16 10.17
10 3 10.00 10 9.91 17 10.10
10 4 9.96 11 9.97 18 10.09
10 5 9.92 12 10.04 19 9.94
10 6 9.89 13 10.12
10 7 9.87 14 10.17

Table 5. Different Y-axis coordinate measurement data

View table

View in Article

Table 5. Different Y-axis coordinate measurement data

$Y$	${\bar{Y}}_{test}$	$Δ Y$	$Y$	${\bar{Y}}_{test}$	$Δ Y$
2.0	2.045	0.045	7.0	6.994	−0.006
2.5	2.515	0.015	7.5	7.508	0.008
3.0	3.000	0.000	8.0	8.024	0.024
3.5	3.491	−0.009	8.5	8.531	0.031
4.0	3.983	−0.017	9.0	9.038	0.038
4.5	4.481	−0.020	9.5	9.534	0.034
5.0	4.975	−0.025	10.0	10.020	0.020
5.5	5.474	−0.026	10.5	10.506	0.006
6.0	5.975	−0.025	11.0	10.988	−0.012
6.5	6.483	−0.017

Table 6. Different X-axis coordinate measurement data

View table

View in Article

Table 6. Different X-axis coordinate measurement data

$X$	${\bar{X}}_{test}$	$Δ X$	$X$	${\bar{X}}_{test}$	$Δ X$
2	1.982	−0.018	11	10.987	−0.013
3	2.984	−0.016	12	11.977	−0.023
4	3.999	−0.001	13	12.974	−0.026
5	5.013	0.013	14	13.976	−0.024
6	6.022	0.022	15	14.988	−0.012
7	7.026	0.026	16	16.001	0.001
8	8.021	0.021	17	17.013	0.013
9	9.012	0.012	18	18.026	0.026
10	10.00	0.000	19	19.034	0.034

Tools

Get Citation

Copy Citation Text

Yao CHENG, Wenbin XU, Yunyang LIU. Two-dimensional coordinate image measurement system based on angle intersection[J]. Journal of Applied Optics, 2024, 45(2): 438

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites