A multi-frequency inverse-phase error compensation method for projector nonlinear in 3D shape measurement

Mao, Cuili; Lu, Rongsheng; Liu, Zhijian

doi:10.1016/j.optcom.2018.03.006

Cited by 24 publications

(8 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To compensate the saturation-induced wrapped phase error, another set of phase-shifting fringe patterns can be used to generate the opposite wrapped phase error [4,[36][37][38].…”

Section: Saturation-induced Wrapped Phase Error Compensation In Pspmentioning

confidence: 99%

An efficient high dynamic range 3D shape reconstruction method based on double phase-shifting profilometry

Wang,

Yang

2023

Meas. Sci. Technol.

View full text Add to dashboard Cite

Phase-shifting profilometry (PSP) is the most widely used wrapped phase extraction method due to the advantages of high accuracy and resolution, robust to noise. However, due to the local specular reflection of the measured surfaces and the limited camera dynamic range, some pixels of the captured fringes become intensity saturated, thus introducing wrapped phase error. In this work, we simulate the Fourier spectrum of the saturated fringe and represent the saturated fringe approximately by a third-order Fourier series. Subsequently, we establish the saturation-induced wrapped phase error model. According to this model, it can be found that for the N-step phase-shifting method, the spatial frequency of the saturation-induced wrapped phase error is N times of that of the ideal wrapped phase. We phase shift the N-step phase-shifting fringe sequence π/N to generate the additional phase-shifting fringe sequence, and thus generate the opposite saturation-induced wrapped phase error. Finally, the saturation-induced wrapped phase error can be greatly reduced by fusing the wrapped phases of the two sets of phase-shifting fringe sequences. Compared with the traditional method and the adaptive projection fringe method, the phase error of the double N-step phase-shifting method is reduced by 69.92% and 65.2%, respectively.

show abstract

“…To compensate the saturation-induced wrapped phase error, another set of phase-shifting fringe patterns can be used to generate the opposite wrapped phase error [4,[36][37][38].…”

Section: Saturation-induced Wrapped Phase Error Compensation In Pspmentioning

confidence: 99%

An efficient high dynamic range 3D shape reconstruction method based on double phase-shifting profilometry

Wang,

Yang

2023

Meas. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…The ASEC technique reduces the saturation-induced error in the wrapped phase, prevents error accumulation during unwrapping, and enhances the accuracy of phase compensation. At the same time, it is a generic strategy not restricted to a specific phase-unwrapping algorithm that can work together with other techniques to improve measurement efficiency further [28].…”

Section: Average-phase Saturated Error Compensation (Asec)mentioning

confidence: 99%

Generic saturation-induced phase-error correction algorithm for phase-measuring profilometry

Tao

et al. 2023

Meas. Sci. Technol.

View full text Add to dashboard Cite

Intensity saturation causes partial incorrect intensities in captured images, leading to obvious phase errors in high dynamic range (HDR) phase measuring profilometry. Most of the existing methods require numerous projected patterns or additional hardware equipment to retrieve the 3D shape. This paper proposes a comprehensive saturation-induced phase error correction method by combining the average-phase compensation method applying the four-step phase-shifted(PS) patterns with phase repairment employing a total variation minimization(TVM) model. We first analyzed the periodic characteristic of saturation-induced phase error. The phase error can be efficiently compensated by averaging the initial phase and the auxiliary phase, which was calculated utilizing a set of PS patterns with an initial phase offset of /4. Furthermore, a judgment condition was provided to detect invalid points in overexposed shiny areas whose initial calculated phases were wrong. The corrected phases were repaired utilizing the TVM model from the compensated phase information around the invalid points. Simulations and experiments demonstrated that the proposed method could simultaneously correct the phase for non-uniform high-reflectivity scenes and shiny areas on the surface with high accuracy and relatively few images. The phase error is reduced to nearly 80%.

show abstract

“…In Figure 3, it can be seen that the environment noise before compensation will cause the "jump points" of the last phase unwrapping. First, the root-meansquare error (RMSE) of the noise is calculated as σ φ , which is the constraint condition of Equations (13) and (15) in this , and 4(c), respectively, correspond to the phase compensation front curve of functions φ 1 , φ 2 , and φ 3 . The initial noise also exists in these three principal value functions.…”

Section: Simulation Analysis Of 3d Reconstruction Before and Aftermentioning

confidence: 99%

“…In order to solve the problem of jumping error in the principle of multifrequency heterodyne, this paper proposes a novel method to improve multifrequency heterodyne [14][15][16]. The innovation of this paper is described below.…”

Section: Introductionmentioning

confidence: 99%

A Multifrequency Heterodyne Phase Error Compensation Method for 3D Reconstruction

Liu

Yang

et al. 2020

Journal of Sensors

View full text Add to dashboard Cite

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.

show abstract

A multi-frequency inverse-phase error compensation method for projector nonlinear in 3D shape measurement

Cited by 24 publications

References 22 publications

An efficient high dynamic range 3D shape reconstruction method based on double phase-shifting profilometry

An efficient high dynamic range 3D shape reconstruction method based on double phase-shifting profilometry

Generic saturation-induced phase-error correction algorithm for phase-measuring profilometry

A Multifrequency Heterodyne Phase Error Compensation Method for 3D Reconstruction

Contact Info

Product

Resources

About