Accurate Local Homography-Based Projector Calibration Method

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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Table 1. The standard deviation of projector calibration
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Table 1. The standard deviation of projector calibration
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 2. Calibration results of different methods

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Table 2. Calibration results of different methods

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 3. Calibration error of different methods

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Table 3. Calibration error 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

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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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