Fast Calibration Method of Large Dimension Measurement System Based on Multi-Camera Array

Qinghua Wu; Hui Chen; Sisi Zhu; Yang Zhou; Cai Wan

doi:10.3788/AOS201838.1215002

Acta Optica Sinica, Volume. 38, Issue 12, 1215002(2018)

Fast Calibration Method of Large Dimension Measurement System Based on Multi-Camera Array

Qinghua Wu^1,3、*, Hui Chen², Sisi Zhu^1,3, Yang Zhou^1,3, and Cai Wan^1,3

Author Affiliations

¹ School of Mechanical Engineering of Hubei University of Technology, Wuhan, Hubei 430068, China

² School of Science of Hubei University of Technology, Wuhan, Hubei 430068, China

³ Key Laboratory of Advanced Manufacture and Quality Engineering of Hubei Province, Wuhan, Hubei 430068, China

show less

Abstract Get PDF(in Chinese)

Figures & Tables(7)

Fig. 1. Calibration model of position-pose relationship between two cameras

Download full size

Fig. 2. (a) Solid circle array in target plane; (b) target plane coordinate system

Download full size

Fig. 3. Standard translation pole with locating pins

Download full size

Fig. 4. Target images captured by cameras. (a) Camera 1; (b) camera 2

Download full size

Fig. 5. Deviation values for reverse calculation of measurement results

Download full size

Table 1. Calibration results of intrinsic parameters for cameras 1 and 2

View table

Table 1. Calibration results of intrinsic parameters for cameras 1 and 2

Parameter	Focus length x	Focus length y	Principal point u	Principal point v	1st-order radial distortion k₁	1st-order tangential distortion p₁
Value	1601.632	1601.947	622.954	541.844	-0.07064	0.00813
Value	1605.286	1605.115	635.909	524.713	-0.07848	0.00838

Table 2. Coordinate values in cameras 1 and 2 for target feature point after translation of 2340 mm

View table

Table 2. Coordinate values in cameras 1 and 2 for target feature point after translation of 2340 mm

Coordinate value in O_c1-X_c1Y_c1Z_c1				Coordinate value in O_c2-X_c2Y_c2Z_c2
	x_c1	y_c1	z_c1	x_c2	y_c2	z_c2
2129.748	-138.521	897.917		-219.167	-194.286	883.701
2189.662	-135.443	898.861		-159.574	-195.662	876.861
2249.575	-132.364	899.804		-99.981	-197.039	870.021
2309.489	-129.285	900.748		-40.388	-198.415	863.181
2369.403	-126.207	901.692		19.205	-199.791	856.341
2429.316	-123.128	902.635		78.798	-201.168	849.501
2489.230	-120.049	903.579		138.391	-202.544	842.661
2126.734	-78.713	894.194		-217.992	-134.326	881.869
2186.647	-75.634	895.137		-158.399	-135.702	875.029
2246.561	-72.556	896.081		-98.806	-137.078	868.189
2306.474	-69.477	897.025		-39.213	-138.454	861.349
2366.388	-66.398	897.968		20.380	-139.831	854.509
2426.302	-63.319	898.912		79.973	-141.207	847.669
2486.215	-60.241	899.856		139.566	-142.583	840.829
2123.719	-18.905	890.470		-216.818	-74.365	880.037
2183.633	-15.826	891.414		-157.225	-75.741	873.197
2243.546	-12.747	892.357		-97.632	-77.118	866.357
2303.460	-9.668	893.301		-38.039	-78.494	859.517
2363.373	-6.590	894.245		21.554	-79.870	852.677
2423.287	-3.511	895.189		81.147	-81.247	845.837
2483.200	-0.432	896.132		140.740	-82.623	838.997
2120.705	40.904	886.747		-215.643	-14.405	878.204
2180.618	43.983	887.690		-156.050	-15.781	871.365
2240.531	47.061	888.634		-96.457	-17.157	864.525
2300.445	50.140	889.578		-36.864	-18.533	857.685
2360.359	53.219	890.521		22.729	-19.910	850.845
2420.272	56.297	891.465		82.321	-21.286	844.005
2480.186	59.376	892.409		141.914	-22.662	837.165
2117.690	100.712	883.023		-214.469	45.556	876.372
2177.603	103.791	883.967		-154.876	44.180	869.532
2237.517	106.870	884.911		-95.283	42.803	862.692
2297.430	109.948	885.854		-35.690	41.427	855.852
2357.344	113.027	886.798		23.903	40.051	849.012
2417.258	116.106	887.742		83.496	38.675	842.173
2477.171	119.185	888.685		143.089	37.298	835.333
2114.675	160.521	879.300		-213.294	105.516	874.540
2174.589	163.599	880.243		-153.701	104.140	867.700
2234.502	166.678	881.187		-94.109	102.764	860.860
2294.416	169.757	882.131		-34.516	101.388	854.020
2354.329	172.836	883.074		25.077	100.011	847.180
2414.243	175.914	884.018		84.670	98.635	840.340
2474.156	178.993	884.962		144.263	97.259	833.500
2111.661	220.329	875.576		-212.120	165.477	872.708
2171.574	223.408	876.520		-152.527	164.101	865.868
2231.488	226.486	877.464		-92.934	162.724	859.028
2291.401	229.565	878.407		-33.341	161.348	852.188
2351.315	232.644	879.351		26.252	159.972	845.348
2411.228	235.723	880.295		85.845	158.596	838.508
2471.142	238.801	881.238		145.438	157.219	831.668

Tools

Get Citation

Copy Citation Text

Qinghua Wu, Hui Chen, Sisi Zhu, Yang Zhou, Cai Wan. Fast Calibration Method of Large Dimension Measurement System Based on Multi-Camera Array[J]. Acta Optica Sinica, 2018, 38(12): 1215002

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites

Paper Information

Category: Machine Vision

Received: May. 28, 2018

Accepted: Jul. 12, 2018

Published Online: May. 10, 2019

The Author Email:

DOI:10.3788/AOS201838.1215002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology