Accurate Local Homography-Based Projector Calibration Method

Lijun Sun; Dandan Zhang; Tianfei Chen; Zhiyuan Huang; Shi Li

doi:10.3788/LOP202259.1312003

Journals >Laser & Optoelectronics Progress >Volume 59 >Issue 13 >Page 1312003 > Article

Laser & Optoelectronics Progress
Vol. 59, Issue 13, 1312003 (2022)

Accurate Local Homography-Based Projector Calibration Method

Lijun Sun^1、2、3, Dandan Zhang^1、2、3, Tianfei Chen^{1、2、3、*}, Zhiyuan Huang^1、2、3, and Shi Li^1、2、3

Author Affiliations

¹Key Laboratory of Grain Information Processing and Control of Ministry of Education, Henan University of Technology, Zhengzhou 450001, Henan , China

²Zhengzhou Key Laboratory of Machine Perception and Intelligent System, Henan University of Technology, Zhengzhou 450001, Henan , China

³College of Information Science and Engineering, Henan University of Technology, Zhengzhou 450001, Henan , China

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DOI: 10.3788/LOP202259.1312003 Cite this Article Set citation alerts

Lijun Sun, Dandan Zhang, Tianfei Chen, Zhiyuan Huang, Shi Li. Accurate Local Homography-Based Projector Calibration Method[J]. Laser & Optoelectronics Progress, 2022, 59(13): 1312003 Copy Citation Text

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Fig. 1. Ideal pinhole model

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Fig. 2. Perspective projection transformation

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Fig. 3. Concentric circles in the camera image plane

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Fig. 4. Flow chart of double four step phase shift

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Fig. 5. Projector coordinate mapping process

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Fig. 6. Projector coordinates calculation process

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Fig. 7. Experimental setup. (a) Projector calibration system; (b) calibration target

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Fig. 8. Projector calibration accuracy at different N values.(a) N=2; (b) N=12; (c) N=13; (d) N=21; (e) N=34; (f) N=48; (g) calibration accuracy trend chart

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Fig. 9. Re-projection error of different calibration methods. (a) P2P mapping method; (b) method in Ref. [16]; (c) method in Ref. [20]; (d) proposed method

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Method	$E_{s t d u}$	$E_{s t d v}$
P2P mapping method	1.33078	0.99727
After center deviation correction	1.22937	0.89716
After phase error compensation	0.84813	0.70704
Proposed mapping method	0.71985	0.53907

Table 1. The standard deviation of projector calibration

Method	$f_{u}$	$f_{v}$	$u_{p 0}$	$v_{p 0}$	$k_{1}$	$k_{2}$	$p_{1}$	$p_{2}$
P2P mapping method	1416.50	1037.57	388.54	429.12	-0.4286	1.2574	-0.0377	-0.0031
Method in Ref.［16］	1375.47	1010.02	390.98	425.89	-0.3185	0.9048	-0.0295	-0.0024
Method in Ref.［20］	1356.29	995.08	393.75	427.27	-0.2962	0.7666	-0.0304	-0.0025
Proposed method	1351.08	991.03	398.31	424.24	-0.3077	0.7914	-0.0301	-0.0020

Table 2. Calibration results of different methods

Method	$E_{m a x u}$	$E_{m a x v}$	$E_{m e a n u}$	$E_{m e a n v}$	$E_{s t d u}$	$E_{s t d v}$
P2P mapping method	4.58491	3.32272	1.05036	0.79167	1.33078	0.99727
Method in Ref.［16］	2.94480	2.20079	0.68068	0.55934	0.84813	0.70704
Method in Ref.［20］	1.80248	1.89124	0.44593	0.40378	0.56140	0.50607
Proposed method	1.25629	1.39891	0.32177	0.29491	0.40192	0.37253

Table 3. Calibration error of different methods

Lijun Sun, Dandan Zhang, Tianfei Chen, Zhiyuan Huang, Shi Li. Accurate Local Homography-Based Projector Calibration Method[J]. Laser & Optoelectronics Progress, 2022, 59(13): 1312003

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