Edge-preserved fringe-order correction strategy for code-based fringe projection profilometry

Deng, Ji; Li, Jian; Feng, Hao; Ding, Shumeng; Yu, Xiaoli; Han, Wei; Zeng, Zhoumo

doi:10.1016/j.sigpro.2020.107959

Cited by 15 publications

(2 citation statements)

References 53 publications

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“…Equation ( 5 ) provides the phase angles distribution in the terms of inverse “ sin ”. So, the recovered wrapped phase angles will be limited between − π/2 and π/2 which is not usual to be obtained 18 – 20 . The unwrapping process in this case, along the x -direction, can be performed by dividing the phase angles into small intervals where each one of them represents the phase at along the x- direction.…”

Section: Theorymentioning

confidence: 99%

Optical phase retrieving of a projected object by employing a differentiation of a single pattern of two-beam interference

Ramadan,

El-Tawargy,

Wahba

2023

Sci Rep

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In this work, we present a new approach to retrieve the optical phase map of an object which is projected by a single differentiated two-beam interference pattern. This approach is based on the differentiation of the intensity equation of the two-beam interference with respect to the carrier’s phase angle. Therefore, two interference patterns which are shifted by a very small phase angle can be obtained. Then, these two patterns are projected on the object. By exploiting the definition of the mathematical differentiation, the optical phase object’s variations are retrieved from the recorded intensity distributions of both projected patterns. According to this method, the extracted optical phase angles are raised as an inverse “sin” function. This means that the unwrapping process of this function limits the recovered phase angles between − π/2 and π/2. So, the unwrapping process of these unusual wrapped phase angles is explained. The proposed method is applied on (a) two objects which are simulated by combinations of multiple Gaussian functions and (b) a 3D real object. It is found that the inclination of the projected interference pattern on the object redistributes the intensity distribution due to the Lamber’s “cos” aw of illumination. This effect is considered in the retrieving process of the object’s phase map. The limitations of the presented method are discussed and the obtained results are found promising.

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Section: Theorymentioning

confidence: 99%

Optical phase retrieving of a projected object by employing a differentiation of a single pattern of two-beam interference

Ramadan,

El-Tawargy,

Wahba

2023

Sci Rep

View full text Add to dashboard Cite

show abstract

“…Finally, the threedimensional (3D) shape of the object is reconstructed through the internal and external parameters of the 3D measurement * Author to whom any correspondence should be addressed. system and the phase information contained in the deformed fringe patterns [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

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

Wang,

Yang

2023

Meas. Sci. Technol.

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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.

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High-speed 3-D reconstruction based on phase shift coding and interleaved projection

Cao

et al. 2023

Expert Systems with Applications

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Edge-preserved fringe-order correction strategy for code-based fringe projection profilometry

Cited by 15 publications

References 53 publications

Optical phase retrieving of a projected object by employing a differentiation of a single pattern of two-beam interference

Optical phase retrieving of a projected object by employing a differentiation of a single pattern of two-beam interference

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

High-speed 3-D reconstruction based on phase shift coding and interleaved projection

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