Stereo-phase rectification for metric profilometry with two calibrated cameras and one uncalibrated projector

Rigoberto Juarez-Salazar; Obed I. Rios-Orellana; Victor H. Diaz-Ramirez

doi:10.1364/AO.461168

Applied Optics
Vol. 61,
Issue 21,
pp. 6097-6109
(2022)
•https://doi.org/10.1364/AO.461168

Stereo-phase rectification for metric profilometry with two calibrated cameras and one uncalibrated projector

Rigoberto Juarez-Salazar, Obed I. Rios-Orellana, and Victor H. Diaz-Ramirez

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Rigoberto Juarez-Salazar, Obed I. Rios-Orellana, and Victor H. Diaz-Ramirez, "Stereo-phase rectification for metric profilometry with two calibrated cameras and one uncalibrated projector," Appl. Opt. 61, 6097-6109 (2022)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Check for updates

Abstract

Fringe projection profilometry requires calibrating both cameras and projectors for metric measurements. Cameras are relatively simple to calibrate, but projectors require more sophisticated procedures. In this paper, a fringe projection profilometer with two calibrated cameras and one uncalibrated projector is developed for metric measurements. A phase rectification method, which is crucial for stereo matching, is designed by minimizing the perspective distortion. Also, a simple method for point matching using stereo rectified phase maps is proposed. The principles of metric profilometry using the proposed rectification method are introduced. The developed system is evaluated experimentally by the metric measurement of three-dimensional objects. The obtained results confirm a high accuracy of metric measurement and versatility in the design of fringe projection profilometers with uncalibrated projectors.

Full Article | PDF Article

More Like This

Hybrid calibration procedure for fringe projection profilometry based on stereo vision and polynomial fitting

Raúl Vargas, Andres G. Marrugo, Song Zhang, and Lenny A. Romero
Appl. Opt. 59(13) D163-D169 (2020)

Self-calibration approach to stereo cameras with radial distortion based on epipolar constraint

Banglei Guan, Yingjian Yu, Ang Su, Yang Shang, and Qifeng Yu
Appl. Opt. 58(31) 8511-8521 (2019)

Multiview three-dimensional imaging using a Risley-prism-based spatially adaptive virtual camera field

Xingsheng Liu and Anhu Li
Appl. Opt. 61(13) 3619-3629 (2022)

Data availability

No data were generated or analyzed in the presented research.

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (15)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (4)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (67)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

	$k_{11}$	$k_{12}$	$k_{13}$	$k_{22}$	$k_{23}$
$K_{1}$	2.2390	0.0021	0.0477	2.2426	−0.0430
$K_{2}$	2.2431	0.0025	0.0480	2.2464	−0.0414
	$δ_{0}^{'}$	$δ_{1}^{'}$	$δ_{2}^{'}$	$δ_{3}^{'}$
$δ_{1}^{'}$	1	0	−0.0984	−0.0155
$δ_{2}^{'}$	1	0	−0.0930	−0.0145
	$γ$	$θ$	$ϕ$
$R_{1}$	2.9259	1.5017	1.6029
$R_{2}$	3.2503	1.5065	1.5931
	$t_{x}$	$t_{y}$	$t_{z}$
$t_{1}$	−96.3910	−87.6615	547.3791
$t_{2}$	55.5096	−85.9893	549.6456

	$a$	$b$	$c$	$d$	$e$	$f$	$ρ$	$ξ$	$ζ$
$Θ_{0}$	0.9920	0	0.0887	−26.4573	0	1.4815	1.0121	0	0
$Θ_{6}$	0.9917	−0.0019	0.0883	−26.4455	−0.0329	1.4837	0.9911	0.0213	−0.0049
	$g_{11}$	$g_{12}$	$g_{13}$	$g_{21}$	$g_{22}$	$g_{23}$	$g_{31}$	$g_{32}$	$g_{33}$
$G_{1}$	0.9918	−0.0020	0.0884	−0.0674	0.9860	0.0272	0.0884	0.0112	0.9920
$G_{2}$	1.0171	0.0013	−0.0571	−0.0214	0.9945	−0.0103	−0.0571	0.0113	1.0174

	$D$ [mm]	$x$ [mm]	$y$ [mm]	$z$ [mm]
S1	40.0271	−18.1452	42.2110	28.3747
S2	39.9904	−125.6507	−79.3758	56.5086
S3	40.0804	90.1862	−52.3494	84.9199

	Nominal	Deviation	Measured	Error
G1	0.2	$- 1 \times 10^{- 6}$	0.2008	$- 7.72 \times 10^{- 4}$
G2	0.4	$- 12 \times 10^{- 6}$	0.3999	$6.98 \times 10^{- 5}$
G3	0.6	$- 13 \times 10^{- 6}$	0.6009	$- 8.98 \times 10^{- 4}$
G4	0.8	$- 6 \times 10^{- 6}$	0.8002	$- 1.95 \times 10^{- 4}$
G5	1	$- 3 \times 10^{- 6}$	0.9988	$1.21 \times 10^{- 3}$

	$k_{11}$	$k_{12}$	$k_{13}$	$k_{22}$	$k_{23}$
$K_{1}$	2.2390	0.0021	0.0477	2.2426	−0.0430
$K_{2}$	2.2431	0.0025	0.0480	2.2464	−0.0414
	$δ_{0}^{'}$	$δ_{1}^{'}$	$δ_{2}^{'}$	$δ_{3}^{'}$
$δ_{1}^{'}$	1	0	−0.0984	−0.0155
$δ_{2}^{'}$	1	0	−0.0930	−0.0145
	$γ$	$θ$	$ϕ$
$R_{1}$	2.9259	1.5017	1.6029
$R_{2}$	3.2503	1.5065	1.5931
	$t_{x}$	$t_{y}$	$t_{z}$
$t_{1}$	−96.3910	−87.6615	547.3791
$t_{2}$	55.5096	−85.9893	549.6456

Rigoberto Juarez-Salazar	https://orcid.org/0000-0001-6917-7558
Victor H. Diaz-Ramirez	https://orcid.org/0000-0002-9331-1777

Abstract

Data availability

Cited By

Figures (15)

Tables (4)

Equations (67)

Applied Optics