Pixel-wise rational model for a structured light system

Raúl Vargas; Lenny A. Romero; Song Zhang; Andres G. Marrugo

doi:10.1364/OL.492911

Optics Letters
Vol. 48,
Issue 10,
pp. 2712-2715
(2023)
•https://doi.org/10.1364/OL.492911

Pixel-wise rational model for a structured light system

Raúl Vargas, Lenny A. Romero, Song Zhang, and Andres G. Marrugo

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Raúl Vargas, Lenny A. Romero, Song Zhang, and Andres G. Marrugo, "Pixel-wise rational model for a structured light system," Opt. Lett. 48, 2712-2715 (2023)

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Abstract

This Letter presents a novel structured light system model that effectively considers local lens distortion by pixel-wise rational functions. We leverage the stereo method for initial calibration and then estimate the rational model for each pixel. Our proposed model can achieve high measurement accuracy within and outside the calibration volume, demonstrating its robustness and accuracy.

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Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Equations (13)

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	Incidence/%			RMS Error/mm
Pose	R1	R2	R3	Traditional Method	Proposed Method
1	100.0	0.0	0.0	0.188	0.068
2	91.2	8.8	0.0	0.237	0.066
3	0.0	100.0	0.0	0.144	0.070
4	0.0	100.0	0.0	0.127	0.056
5	0.0	47.6	52.4	0.172	0.091
6	0.0	0.7	99.3	0.205	0.104
7	0.0	0.0	100.0	0.270	0.163
8	0.0	0.0	100.0	0.214	0.118
9	2.1	97.9	0.0	0.138	0.053
10	0.0	87.0	13.0	0.146	0.076

	Incidence/%			RMS Error/mm		Estimated Radius/mm
Pose	R1	R2	R3	Traditional Method	Proposed Method	Traditional Method	Proposed Method
1	100	0	0	0.109	0.080	98.44	98.01
2	100	0	0	0.096	0.074	98.28	98.00
3	0	100	0	0.086	0.062	98.27	98.08
4	0	100	0	0.076	0.056	98.20	98.06
5	0	0	100	0.092	0.076	98.25	98.15
6	0	0	100	0.085	0.085	98.10	98.06

	Incidence/%			RMS Error/mm
Pose	R1	R2	R3	Traditional Method	Proposed Method
1	100.0	0.0	0.0	0.188	0.068
2	91.2	8.8	0.0	0.237	0.066
3	0.0	100.0	0.0	0.144	0.070
4	0.0	100.0	0.0	0.127	0.056
5	0.0	47.6	52.4	0.172	0.091
6	0.0	0.7	99.3	0.205	0.104
7	0.0	0.0	100.0	0.270	0.163
8	0.0	0.0	100.0	0.214	0.118
9	2.1	97.9	0.0	0.138	0.053
10	0.0	87.0	13.0	0.146	0.076

	Incidence/%			RMS Error/mm		Estimated Radius/mm
Pose	R1	R2	R3	Traditional Method	Proposed Method	Traditional Method	Proposed Method
1	100	0	0	0.109	0.080	98.44	98.01
2	100	0	0	0.096	0.074	98.28	98.00
3	0	100	0	0.086	0.062	98.27	98.08
4	0	100	0	0.076	0.056	98.20	98.06
5	0	0	100	0.092	0.076	98.25	98.15
6	0	0	100	0.085	0.085	98.10	98.06

Abstract

Data availability

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Figures (5)

Tables (2)

Equations (13)

Optics Letters