High-quality 3D shape measurement using saturated fringe patterns

Chen, Bin; Zhang, Song

doi:10.1016/j.optlaseng.2016.04.012

Cited by 60 publications

(24 citation statements)

References 23 publications

(23 reference statements)

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“…In order to verify the feasibility of the proposed method, numerical simulations were carried out. We simulated different amount of saturation by a scale factor S [21][22] . For the regular fringe patterns, the k-th ideal 8-bit fringe patterns for a N-step generalized phase-shifting algorithm can be described as, (12) Where p is the period of fringe patterns, k  is the arbitrary phase-step, ) , ( y x  is the phase to be retrieved, and the Peaks function of MATLAB was used to represent the phase corresponding to the measured object.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…Basel et al [21] proposed a multi-polarization fringe projection (MPFP) imaging technique that eliminates saturated points and enhances the fringe contrast by selecting proper polarized channel measurements, but it needs expensive polarization cameras. Chen et al [22] measured high dynamic range shapes directly using saturated fringes, but many fringe patterns are needed. Recently, Jiang et al [23] proposed a high dynamic range real-time 3D shape measurement method without changing camera exposures.…”

Section: Introductionmentioning

confidence: 99%

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Enhanced high dynamic range 3D shape measurement based on generalized phase-shifting algorithm

Wang

Zhou

et al. 2017

Optics Communications

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It is a challenge for Phase Measurement Profilometry (PMP) to measure objects with a large range of reflectivity variation across the surface. Saturated or dark pixels in the deformed fringe patterns captured by the camera will lead to phase fluctuations and errors. Jiang et al. proposed a high dynamic range real-time 3D shape measurement method without changing camera exposures. Three inverted phase-shifted fringe patterns are used to complement three regular phase-shifted fringe patterns for phase retrieval when any of the regular fringe patterns are saturated. But Jiang's method still has some drawbacks: (1) The phases in saturated pixels are respectively estimated by different formulas for different cases. It is shortage of an universal formula; (2) it cannot be extended to four-step phase-shifting algorithm because inverted fringe patterns are the repetition of regular fringe patterns; (3) only three unsaturated intensity values at every pixel of fringe patterns are chosen for phase demodulation, lying idle the other unsaturated ones. We proposed a method for enhanced high dynamic range 3D shape measurement based on generalized phase-shifting algorithm, which combines the complementary technique of inverted and regular fringe patterns with generalized phase-shifting algorithm. Firstly, two sets of complementary phase-shifted fringe patterns, namely regular and inverted fringe patterns are projected and collected. Then all unsaturated intensity values at the same camera pixel from two sets of fringe patterns are selected, and employed to retrieve the phase by generalized phase-shifting algorithm. Finally, simulations and experiments are conducted to prove the validity of the proposed method. The results are analyzed and compared with Jiang's method, which demonstrate that the proposed method not only expands the scope of Jiang's method, but also improves the measurement accuracy. Keywordsphase-shifting algorithm; high dynamic range (HDR); phase measuring profilometry (PMP); fringe projection; least-square algorithm; phase error

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Section: Numerical Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Enhanced high dynamic range 3D shape measurement based on generalized phase-shifting algorithm

Wang

Zhou

et al. 2017

Optics Communications

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“…In Ref. [25], it can measure the shiny surfaces regardless of the saturation level, but it requires the acquisition of many patterns, slowing down the measurement process. To deal with overexposure in the captured fringe pattern image, Ref.…”

Section: Literature Reviewmentioning

confidence: 99%

Dynamic projection theory for fringe projection profilometry

Sheng

Zhang

2017

Appl. Opt.

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Fringe projection profilometry (FPP) has been widely used for three-dimensional reconstruction, surface measurement, and reverse engineering. However, FPP is prone to overexposure if objects have a wide range of reflectance. In this paper, we propose a dynamic projection theory based on FPP to rapidly measure the overexposed region with an attempt to conquer this challenge. This theory modifies the projected fringe image to the next better measurement based on the feedback provided by the previously captured image intensity. Experiments demonstrated that the number of overexposed points can be drastically reduced after one or two iterations. Compared with the state-of-the-art methods, our proposed dynamic projection theory measures the overexposed region quickly and effectively and, thus, broadens the applications of FPP.

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“…Chen et al [26] found that the phase-shifting methods can overcome the image saturation if the number of the phase shift is high enough so that at least three unsaturated fringe intensities can be recorded successfully. Moreover, Chen et al [27] proposed a technique, by which the phase is also calculated from raw phase-shifting images but without considering whether they are saturated or not. Hu et al [28,29] introduced a phase-shifting based method by taking advantage of no less than three unsaturated fringe image from standard N -step phase-shifting algorithm.…”

Section: Introductionmentioning

confidence: 99%

Microscopic 3D measurement of shiny surfaces based on a multi-frequency phase-shifting scheme

Chen

Liang

et al. 2019

Optics and Lasers in Engineering

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Microscopic fringe projection profilometry is a powerful 3D measurement technique with a theoretical measurement accuracy better than one micron provided that the measured targets can be imaged with good fringe visibility. However, practically, the 3D shape of the measured surface can hardly be fully reconstructed due to the defocus of the dense fringes and complex surface reflexivity characteristics, which lead to low fringe quality and intensity saturation. To address this problem, we propose to calculate phases of these highlighted areas from a subset of the fringe sequence which is not subjected to the intensity saturation. By using the proposed multi-frequency phase-shifting scheme, the integrity of the 3D surface reconstruction can be significantly improved. The ultimate phase maps obtained from unsaturated intensities are used to achieve high-accuracy 3D recovering of shiny surfaces based on a phase stereo matching method. Experimental results on different metal surfaces show that our approach is able to retrieve the complete morphology of shiny surfaces with high accuracy and fidelity.

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High-quality 3D shape measurement using saturated fringe patterns

Cited by 60 publications

References 23 publications

Enhanced high dynamic range 3D shape measurement based on generalized phase-shifting algorithm

Enhanced high dynamic range 3D shape measurement based on generalized phase-shifting algorithm

Dynamic projection theory for fringe projection profilometry

Microscopic 3D measurement of shiny surfaces based on a multi-frequency phase-shifting scheme

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