Correction of projector nonlinearity in multi-frequency phase-shifting fringe projection profilometry

Xing, Shuo; Guo, Hongwei

doi:10.1364/oe.26.016277

Cited by 42 publications

(7 citation statements)

References 34 publications

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“…Three-dimensional (3D) measurement has been widely used in the fields of medicine, chemical, engineering, and mechanical design [1][2][3] . Among all 3D measurement methods, fringe projection profilometry (FPP) is one of the high-performance techniques, such as Fourier transform profilometry (FTP) and phase-shifting profilometry (PSP) [4][5][6] .…”

Section: Introductionmentioning

confidence: 99%

High-speed three-dimensional shape measurement with inner shifting-phase fringe projection profilometry

Yang

Huang

et al. 2022

Chin. Opt. Lett.

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Fringe projection profilometry (FPP) has been extensively studied in the field of three-dimensional (3D) measurement. Although FPP always uses high-frequency fringes to ensure high measurement accuracy, too many patterns are projected to unwrap the phase, which affects the speed of 3D reconstruction. We propose a high-speed 3D shape measurement method using only three high-frequency inner shifting-phase patterns (70 periods), which satisfies both high precision and high measuring speed requirements. Besides, our proposed method obtains the wrapped phase and the fringe order simultaneously without any other information and constraints. The proposed method has successfully reconstructed moving objects with high speed at the camera's full frame rate (1700 frames per second).

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Section: Introductionmentioning

confidence: 99%

High-speed three-dimensional shape measurement with inner shifting-phase fringe projection profilometry

Yang

Huang

et al. 2022

Chin. Opt. Lett.

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“…For example, Zhang [10] constructed a phase error look-up table by calibrating the corresponding relationship between the fringe phase value and the phase error, and used the look-up table in the measurement process. Xing [11] used the iterative least squares self-correction algorithm to determine the phase error coefficient using the dual-frequency fringe phase. The passive calibration method is sensitive to changes in the system environment, the calibration process is complicated, and the detection speed and accuracy are restricted by the complexity of the calibration algorithm.…”

Section: Introductionmentioning

confidence: 99%

Phase Unwrapped Method of Modified Fringe Order

Ma¹,

Li²

2022

AJECE

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Phase measurement profilometry is an optical three-dimensional measurement method, in which phase is the key factor to accurately obtain the three-dimensional coordinates of the measured object, but there will be phase jump error in phase unwrapped process. In order to eliminate the phase jump error existing in the phase unwrapped process based on the principle of multi-frequency heterodyne, a phase unwrapped method with modified fringe orders is proposed. Modifying the integer part of the fringe orders according to the relationship between the integer part of the fringe orders of adjacent pixels can effectively eliminate the jump of the fringe orders caused by the small error, and avoid the transmission and amplification of the phase jump error in the process of fringe heterodyne. Using the multi-frequency characteristic, the absolute phase of the fringe with the middle period is solved by combining the phase information of the fringe with different periods, so as to improve the accuracy of the phase details of the solution. Both simulation and experimental results show that the proposed method has obvious correction effect on the phase jump error, and the unwrapped phase is smoother. Compared with existing methods, the phase error of the proposed method is reduced by an average of 23%.

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“…Therefore, the algorithm can better suppress interference. However, there are some problems in phase unwrapping of multifrequency heterodyne, such as jumping error [10]. Jiang et al [11] proposed a series of constraints to compensate the phase of multifrequency heterodyne.…”

Section: Introductionmentioning

confidence: 99%

A Multifrequency Heterodyne Phase Error Compensation Method for 3D Reconstruction

Liu

Yang

et al. 2020

Journal of Sensors

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In view of the problem of “jumping points” in the phase unwrapping of the multifrequency heterodyne principle, this paper proposes a novel method to improve the multifrequency heterodyne. By solving the root-mean-square error of the original frequency function, it includes the relationship between the error and the adjacent phase in the condition of constrained phase unwrapping, and it compensates phase ±2π of the skip point. To ensure the accuracy of phase unwrapping, the function with a “jump point” after each phase unwrapping and the absolute phase curve of the principal value function are used to establish the threshold judgment model of the least square method, and the initial phase unwrapping of the principal value function with different frequencies is carried out continuously. The simulation analysis of phase compensation with the four-step phase-shifting method shows that the error is reduced to 36% under the set environment. The experimental result of 3D reconstruction by measuring the flatness of the plate shows that the error decreases by 41% after phase compensation compared with before phase compensation. The three-dimensional reconstruction experiment of pitch measurement with a nut shows that the nut after phase compensation is smooth without noise, and the pitch error is 0.033 mm, which verified the method is workable and effective.

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Correction of projector nonlinearity in multi-frequency phase-shifting fringe projection profilometry

Cited by 42 publications

References 34 publications

High-speed three-dimensional shape measurement with inner shifting-phase fringe projection profilometry

High-speed three-dimensional shape measurement with inner shifting-phase fringe projection profilometry

Phase Unwrapped Method of Modified Fringe Order

A Multifrequency Heterodyne Phase Error Compensation Method for 3D Reconstruction

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