Three-dimensional measurement method based on reusing equally spaced binary stripes

Fei Yan; Fei Yan; Peiyue Wu; Cheng Sun; Yinping Liu; Jia Liu; Jia Liu

doi:10.1364/AO.516338

Applied Optics
Vol. 63,
Issue 14,
pp. 3753-3762
(2024)
•https://doi.org/10.1364/AO.516338

Three-dimensional measurement method based on reusing equally spaced binary stripes

Fei Yan, Peiyue Wu, Cheng Sun, Yinping Liu, and Jia Liu

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Fei Yan, Peiyue Wu, Cheng Sun, Yinping Liu, and Jia Liu, "Three-dimensional measurement method based on reusing equally spaced binary stripes," Appl. Opt. 63, 3753-3762 (2024)

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Abstract

To eliminate the effect of nonlinear errors on measurement results, this paper presents a new method, to our knowledge, to overcome the nonlinear response of commercial projectors and cameras by using binary stripes for coding. The method shifts the generated equally spaced binary stripes by a fixed number of pixel points to obtain different stripe maps, followed by sequential projection of these binary stripes with a digital projector. The acquired binary stripes are reused in the 3D reconstruction combined with the phase-shift method and can be reduced to sinusoidal stripes with different phase shifts by a specific superposition method. In this paper, this method is combined with the traditional four-step phase-shift method for experiments. The results show that the accuracy of the wrapped phase obtained by the method proposed in this paper is 13.88% higher than that obtained by the traditional 16-step phase-shift method. Similarly, the accuracy of the standard ball measurement is increased by 21.05%. Additionally, the point cloud on the surface of the complex object obtained by the proposed method is smoother and more delicate than that obtained by the traditional 16-step phase-shift method.

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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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Point	1	2	3	4	5	6	7	8
Intensity	$\sin (- \frac{3 π}{8})$	$\sin (- \frac{2 π}{8})$	$\sin (- \frac{π}{8})$	$\sin (\frac{0}{8})$	$\sin (\frac{π}{8})$	$\sin (\frac{2 π}{8})$	$\sin (\frac{3 π}{8})$	$\sin (\frac{4 π}{8})$

Method	Number of Point Clouds	Shape Deviation/(mm)	RMSE/(mm)
Four-step phase shift	40,864	2.0776	0.0135
Eight-step phase shift	43,234	1.5818	0.0103
16-step phase shift	47,484	1.3365	0.0019
Proposed method	49,752	1.3711	0.0015

Method	Evaluate	First Shift	Second Shift
Four-step phase shift	RMSE/µm	9.3575	9.7768
	SSE/µm	6.6505	7.2646
Eight-step phase shift	RMSE/µm	7.1924	8.7007
	SSE/µm	3.9315	5.7533
16-step phase shift	RMSE/µm	7.0922	7.1361
	SSE/µm	3.1529	3.8702
Proposed method combines four-step phase shift	RMSE/µm	5.0724	5.0244
	SSE/µm	1.9550	1.9186

Point	1	2	3	4	5	6	7	8
Intensity	$\sin (- \frac{3 π}{8})$	$\sin (- \frac{2 π}{8})$	$\sin (- \frac{π}{8})$	$\sin (\frac{0}{8})$	$\sin (\frac{π}{8})$	$\sin (\frac{2 π}{8})$	$\sin (\frac{3 π}{8})$	$\sin (\frac{4 π}{8})$

Method	Number of Point Clouds	Shape Deviation/(mm)	RMSE/(mm)
Four-step phase shift	40,864	2.0776	0.0135
Eight-step phase shift	43,234	1.5818	0.0103
16-step phase shift	47,484	1.3365	0.0019
Proposed method	49,752	1.3711	0.0015

Abstract

Data availability

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Tables (3)

Equations (8)

Applied Optics