Two-dimensional coordinate image measurement system based on angle intersection

Yao CHENG; Wenbin XU; Yunyang LIU

doi:10.5768/JAO202445.0203006

Journals >Journal of Applied Optics >Volume 45 >Issue 2 >Page 438 > Article

Journal of Applied Optics
Vol. 45, Issue 2, 438 (2024)

Two-dimensional coordinate image measurement system based on angle intersection

Yao CHENG, Wenbin XU^*, and Yunyang LIU

Author Affiliations

College of Mechanical Engineering, Chongqing University of Technology, Chongqing 400050, China

show less

DOI: 10.5768/JAO202445.0203006 Cite this Article

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 Copy Citation Text

show less

Fig. 1. Overall block diagram of two-dimensional coordinate measurement system

Download full size | View in the Article

Fig. 2. Schematic diagram of solving coordinates by angle intersection method

Download full size | View in the Article

Fig. 3. Schematic diagram of system circuit

Download full size | View in the Article

Fig. 4. Flow chart of master program

Download full size | View in the Article

Fig. 5. Drive time-sequence diagram of TSL1401 linear array CCD

Download full size | View in the Article

Fig. 6. Drive time-sequence diagram of ADC

Download full size | View in the Article

Fig. 7. Drive time-sequence diagram of stepper motor

Download full size | View in the Article

Fig. 8. Schematic diagram of CCD calibration by double-line method

Download full size | View in the Article

Fig. 9. Calibration pattern

Download full size | View in the Article

Fig. 10. Display diagram of sampling points

m_{i}

and

n_{i}

Download full size | View in the Article

Fig. 11.

β_{i}

and least square linear regression equation for pixel values

Download full size | View in the Article

Fig. 12. Two-dimensional coordinate image measurement system

Download full size | View in the Article

Fig. 13. Polynomial fitting curve of measurement error for Y-axis coordinates

Download full size | View in the Article

Fig. 14. Polynomial fitting curve of measurement error for X-axis coordinates

Download full size | View in the Article

Fig. 15. Display of 2D coordinate measurement results

Download full size | View in the Article

$m_{i}_X_{i}$	$C_{x_{i}}$	$m_{i}_X_{i}$	$C_{x_{i}}$	$m_{i}_X_{i}$	$C_{x_{i}}$
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 1. Sampling points

m_{i}

and corresponding pixel value test data

View in the Article

$n_{i}_X_{i}$	$C_{x_{i}}$	$n_{i}_X_{i}$	$C_{x_{i}}$	$n_{i}_X_{i}$	$C_{x_{i}}$
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 2. Sampling points

n_{i}

and corresponding pixel value test data

View in the Article

$C_{x_{i}}$	$β_{i}$	$C_{x_{i}}$	$β_{i}$	$C_{x_{i}}$	$β_{i}$
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 3. Image value and the corresponding

β_{i}

data

View in the Article

$Y$	$X$	$Y_{test}$	$X$	$Y_{test}$	$X$	$Y_{test}$
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 4. Coordinate test data when Y=10

View in the Article

$Y$	${\bar{Y}}_{test}$	$Δ Y$	$Y$	${\bar{Y}}_{test}$	$Δ Y$
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 5. Different Y-axis coordinate measurement data

View in the Article

$X$	${\bar{X}}_{test}$	$Δ X$	$X$	${\bar{X}}_{test}$	$Δ X$
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

Table 6. Different X-axis coordinate measurement data

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

Tools

Save the article for my favorites

Paper Information

微信扫一扫：分享

微信扫一扫：分享