Calibration Method of Microscopic Three-Dimensional Digital Image Correlation System Based on Fixed-Point Rotation

Minyang Wu; Jianjun Guo; Ming Jiang

doi:10.3788/AOS201838.1215010

Journals >Acta Optica Sinica >Volume 38 >Issue 12 >Page 1215010 > Article

Acta Optica Sinica
Vol. 38, Issue 12, 1215010 (2018)

Calibration Method of Microscopic Three-Dimensional Digital Image Correlation System Based on Fixed-Point Rotation

Minyang Wu^1、*, Jianjun Guo², and Ming Jiang^2、*

Author Affiliations

¹ School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China

² School of Civil Engineering, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China

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DOI: 10.3788/AOS201838.1215010 Cite this Article Set citation alerts

Minyang Wu, Jianjun Guo, Ming Jiang. Calibration Method of Microscopic Three-Dimensional Digital Image Correlation System Based on Fixed-Point Rotation[J]. Acta Optica Sinica, 2018, 38(12): 1215010 Copy Citation Text

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Fig. 1. Microscopic three-dimensional digital image correlation system

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Fig. 2. Chess board calibration plate

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Fig. 3. Fixed-point rotation platform. (a) CAD diagram; (b) physical drawing

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Fig. 4. Optical path of stereo microscope

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Fig. 5. Relationship between inclination angle and depth of field

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Fig. 6. Process of image acquisition of calibration plate. (a) Fixed-point rotation of calibration plate; (b) image acquisition of calibration plate (left CCD)

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Fig. 7. Schematic of main point calibration. (a) Calibration images under different magnification; (b) fitting of projection point coordinates

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Fig. 8. Main point coordinates for 22 times calibration

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Fig. 9. Reprojection errors

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Fig. 10. Rotation angle of calibration plate around Z axis when intervals of calibration plate rotation around Z axis are 5°, 10° and 15°, respectively. (a) Left sub optical path; (b) right sub optical path

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Fig. 11. Relative translation quantities of left and right sub optical paths. (a) Calibration plate rotating around Z-axis with 5°; (b) calibration plate rotating around Z-axis with 10°

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Fig. 12. Overall errors of calibration board under different attitudes

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Fig. 13. Influence of attitude number of right CCD on stability of calibration results. (a) Focal length versus attitude number; (b) main point coordinate versus attitude number; (c) radial distortion coefficient versus attitude number; (d) relative error versus attitude number

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Fig. 14. Three-dimensional average displacement vector

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Fig. 15. Picture of coin

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Fig. 16. Coin speckle maps from left and right CCDs. (a) Left CCD; (b) right CCD

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Fig. 17. Three-dimensional shape measurement chart of coin

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Magnification	0.8	1	1.25	1.6	2	2.5	3.2	4	5	5.6
Field of view x /mm	15.7	13.0	10.1	8.1	6.5	5.2	4.0	3.2	2.6	2.3
Field of view y /mm	13.2	10.9	8.5	6.8	5.4	4.3	3.4	2.7	2.2	1.9
Depth of field /mm	2.520	1.380	0.881	0.490	0.434	0.244	0.200	0.129	0.100	0.087

Table 1. Depths of field and fields of view under different magnification

CCD	f_x/pixel	$\begin{matrix} {f_{y}}_{} \end{matrix}$ /pixel	$\begin{matrix} {u_{0}}_{} \end{matrix}$ /pixel	$\begin{matrix} {v_{0}}_{} \end{matrix}$ /pixel	$\begin{matrix} {k_{1}}_{} \end{matrix}$ /10^-2
Left CCD	8076.51	8276.64	1223.75	1026.61	2.8
Right CCD	8071.94	8276.07	1224.19	1024.78	3.2
Relative error /%	0.029	0.020	0.166	0.166	0.530

Table 2. Internal parameters

Magnification	(3,4)		(3,5)		(4,4)		(4,5)
Magnification	x /pixel	y /pixel	x /pixel	y /pixel	x /pixel	y /pixel	x /pixel	y /pixel
0.8	1276.12	1096.65	1281.10	1474.08	1655.77	1090.19	1661.06	1469.81
1.0	1263.61	1078.29	1267.42	1379.60	1565.05	1074.77	1569.10	1376.05
1.25	1253.96	1065.85	1256.93	1306.72	1494.75	1063.10	1497.95	1303.89
1.6	1246.74	1055.62	1248.89	1243.27	1434.14	1053.42	1436.64	1240.87
2.0	1241.04	1048.46	1243.02	1198.27	1390.51	1046.68	1392.60	1196.32
2.5	1236.40	1043.66	1238.11	1165.87	1358.33	1042.21	1359.80	1164.43
Line fitting	y=1.3004x-564.9919		y=7.2x-7789.3		y=0.1619x+821.5713		y=1.0159x-218.0002

Table 3. Line fitting table

CCD	$\begin{matrix} {σ_{x}}_{} \end{matrix}$ /pixel	$\begin{matrix} {σ_{y}}_{} \end{matrix}$ /pixel	$\begin{matrix} {f_{x}}_{} \end{matrix}$ /pixel	$\begin{matrix} {f_{y}}_{} \end{matrix}$ /pixel	$\begin{matrix} {u_{0}}_{} \end{matrix}$ /pixel	$\begin{matrix} {v_{0}}_{} \end{matrix}$ /pixel
Left CCD	0.11	0.10	23186.92	23189.27	1225.89	1023.75
Right CCD	0.11	0.10	23187.58	23189.19	1226.27	1024.16

Table 4. Internal parameter calibration results of CCD

Point No.	1	2	3	4	5	6	7	8
Maximum deviation /μm	0.77	0.53	0.65	0.83	0.7	0.36	0.67	0.71
Average relative error /%	2.6	2.2	1.9	2.1	3.0	1.4	2.0	2.3
Mean square error /μm	0.49	0.49	0.31	0.27	0.34	0.42	0.23	0.32

Table 5. Measurement results for movement in Z direction

Minyang Wu, Jianjun Guo, Ming Jiang. Calibration Method of Microscopic Three-Dimensional Digital Image Correlation System Based on Fixed-Point Rotation[J]. Acta Optica Sinica, 2018, 38(12): 1215010

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