Three-Dimensional Measurement Method Based on Binary Coded Fringes

Jia Liu; Changqiu Lu; Jie Wen; Yuqian Xiao; Fei Yan; Yinping Liu

doi:10.3788/AOS0112004

Acta Optica Sinica, Volume. 43, Issue 1, 0112004(2023)

Three-Dimensional Measurement Method Based on Binary Coded Fringes

Jia Liu^1,2, Changqiu Lu¹, Jie Wen¹, Yuqian Xiao¹, Fei Yan^1,2, and Yinping Liu^3、*

Author Affiliations

¹School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu , China

²Jiangsu Provincial Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing 210044, Jiangsu , China

³School of Atmospheric Physics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu , China

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Figures & Tables(11)

Fig. 1. Calculation process of wrapped phase. (a) Four-step phase shift image; (b) wrapped phase image; (c) wrapped phase function

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Fig. 2. Decoding principle of complementary Gray code assisted phase shift technology

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Fig. 3. Superposition principle of binary coding

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Fig. 4. Schematic of superposition simulation of binary coding

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Fig. 5. High-precision standard sphere reconstruction results. (a) Local point clouds; (b) results of local point cloud reconstruction; (c) fitting error distribution

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Fig. 6. Results of calibration plate measurement. (a) The first phase shift image; (b) absolute phase image; (c) results of point cloud

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Fig. 7. Straight line fitting images of calibration plate by different methods. (a) Four-step phase shift method; (b) twelve-step phase shift method; (c) proposed method

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Fig. 8. Reconstruction results of plaster head. (a) Absolute phase; (b) reconstruction results; (c) local reconstruction results

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Table 1. Distribution of binary code of light intensity value in one cycle

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Table 1. Distribution of binary code of light intensity value in one cycle

Light intensity value in one cycle	Keep one decimal place	Binary code of integer part	Binary code of decimal part
0	0.0	00000000	000
9.7054	9.7	00001001	111
37.3439	37.3	00100101	011
78.7079	78.7	01001110	111
127.5000	127.5	01111111	101
176.2921	176.3	10110000	011
217.6561	217.7	11011001	111
245.2946	245.3	11110101	011
255	255.0	11111111	000
245.2946	245.3	11110101	011
217.6561	217.7	11011001	111
176.2921	176.3	10110000	011
127.5000	127.5	01111111	101
78.7079	78.7	01001110	111
37.3439	37.3	00100101	011
9.7054	9.7	00001001	111

Table 2. Analysis results of fitting error of standard sphere
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Table 2. Analysis results of fitting error of standard sphere
Method Number of point clouds Average distance /mm
Four-step phase shift 36905 0.1289
Twelve-step phase shift 29730 0.0044
Proposed 32335 0.0697

Table 3. Analysis results of straight line fitting error of calibration plate
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Table 3. Analysis results of straight line fitting error of calibration plate
Method RMSE /mm SSE /mm
Four-step phase shift 0.1310 3.401
Twelve-step phase shift 0.1169 2.708
Proposed 0.1206 2.883

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Jia Liu, Changqiu Lu, Jie Wen, Yuqian Xiao, Fei Yan, Yinping Liu. Three-Dimensional Measurement Method Based on Binary Coded Fringes[J]. Acta Optica Sinica, 2023, 43(1): 0112004

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