Intrinsic feature revelation of phase-to-height mapping in phase measuring profilometry

Ma, Qiuna; Cao, Yiping; Chen, Cheng; Wan, Yingying; Fu, Guangkai; Wang, Yapin

doi:10.1016/j.optlastec.2018.06.049

Cited by 73 publications

(15 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The object's phase distribution �ϕ(x, y) = ϕ(x, y) − ϕ 0 (x, y) calculated by arctangent is wrapped within (−π , π] , so the phase unwrapping method 26 needs to be used here to transform wrapped phase �ϕ(x, y) into unwrapped phase �φ(x, y) . Later, the 3D surface can be reconstructed by phase-to-height mapping relationship 27 as Eq. (21):…”

Section: Methodsmentioning

confidence: 99%

“…The object’s phase distribution calculated by arctangent is wrapped within , so the phase unwrapping method 26 needs to be used here to transform wrapped phase into unwrapped phase . Later, the 3D surface can be reconstructed by phase-to-height mapping relationship 27 as Eq. ( 21 ): where means the unwrapped phase of the reference plane, , , and are constant coefficients which can be calibrated by some planes with different known heights in advance.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Computer-generated moiré profilometry based on fringe-superposition

Cao

Wang

et al. 2020

Sci Rep

Self Cite

View full text Add to dashboard Cite

A computer-generated moiré profilometry based on algebraic addition instead of algebraic multiplication is proposed. Firstly, the two AC components of the captured fringe patterns on the reference plane with $$\pi /2$$ π / 2 phase difference are retrieved and saved in advance. While measuring, two sinusoidal gratings with $$\pi$$ π phase difference are projected onto the measured object alternatively, and the corresponding deformed patterns are captured. Then the AC component of the captured deformed pattern can be separated exactly. When the positive and negative AC component of the captured deformed pattern are added to the two prestored AC components respectively, two moiré fringes only reflect sine and cosine of the object’s phase information can be successfully generated via a series of data processing procedures. Finally, the phase distribution of the measured object can be extracted by arctangent of the ratio of these two moiré fringes. Compared with computer-generated moiré profilometry based on algebraic multiplication, this proposed method can reduce the effect of high frequency noise and residual DC component on measurement and improve the measurement accuracy. While compared with $$\pi$$ π phase shifting FTP, this method can measure more complex objects with better measurement capability. Experimental results verify the feasibility and validity of the proposed method.

show abstract

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Computer-generated moiré profilometry based on fringe-superposition

Cao

Wang

et al. 2020

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…The phase unwrapping method is used to calculate the unwrapped phase Δ ϕ 2 ( x , y ) from the wrapped phase 29 . After the height-to-phase mapping 30 , the height of the measured object can be obtained: where a ( x , y ), b 1 a ( x , y ), b 1 ( x , y ), b 2 ( x , y ), and c ( x , y ) are the system parameters. They can be obtained by calibration.…”

Section: Principlementioning

confidence: 99%

Color-encoded single-shot computer-generated Moiré profilometry

Zhang

Cao

et al. 2021

Sci Rep

Self Cite

View full text Add to dashboard Cite

A color-encoded single-shot computer-generated Moiré profilometry (CSCGMP) is proposed. Two sinusoidal gratings with a π phase difference are encoded in red and blue channels respectively to combine a composite color grating. While this composite color grating is projected onto the measured object, the corresponding color deformed pattern can be captured. So two deformed patterns with a π phase difference are separated from its red and blue components respectively. After normalization and subtraction, the AC component of both separated deformed patterns can be extracted. If this AC component respectively multiplied by the two AC components of fringe patterns of reference plane with a π/2 phase difference prepared and saved on the computer in advance, two computer-generated Moiré fringes just respectively standing for sine and cosine of phase which is modulated by the height of the object relative to the reference plane are figured out. So the 3D shape of the measured object can be reconstructed with normal computer-generated Moiré profilometry. Both simulation and experimental results show the feasibility and validity of the proposed method. It has potential in real-time 3D measurement due to its single-shot feature.

show abstract

“…Thus, a phase-to-height mapping relationship is used to reconstruct the 3D shape of the measured object [28]:…”

Section: The Pmp Based On the Proposed Quaternary Grating Projection mentioning

confidence: 99%

Single-Shot Phase Measuring Profilometry Based on Quaternary Grating Projection

2021

Self Cite

View full text Add to dashboard Cite

In this paper, we propose a new single-shot three-dimensional (3D) measuring method based on quaternary grating projection. In traditional binary grating phase measuring profilometry (PMP), a multi-step or color fringe pattern are usually used to extract the sinusoidal fringes. In our proposed method, by using the DLP4500′s 2-bit gray coding mode, the grayscale is quaternary. The three non-zero grayscales cyclically arranged in equal width, and the fourth grey value is 0 which is not encoded in the fringe pattern but represents the shadow information in the deformed pattern, where a quaternary grating is encoded. When the DLP4500 projects the quaternary grating onto the measured object, the charge coupled device (CCD) captures the corresponding deformed pattern synchronously. Three frames of binary deformed patterns with 1/3 duty cycle and a relative displacement of 1/3 period can be decomposed by the segmentation algorithm proposed in this paper. Three sinusoidal deformed patterns with a 2π/3 shift-phase can be obtained by extracting the fundamental frequency of the three binary deformed patterns correspondingly, and the 3D shape of the object can be reconstructed by PMP. Experimental results show the effectiveness and feasibility of the proposed method. Because the DLP4500 only needs 2-bit coded grating for projection, the refresh rate of the projected grating is as high as 1428 Hz, which will have a broad application prospect in real time and fast online measurement.

show abstract

Intrinsic feature revelation of phase-to-height mapping in phase measuring profilometry

Cited by 73 publications

References 25 publications

Computer-generated moiré profilometry based on fringe-superposition

Computer-generated moiré profilometry based on fringe-superposition

Color-encoded single-shot computer-generated Moiré profilometry

Single-Shot Phase Measuring Profilometry Based on Quaternary Grating Projection

Contact Info

Product

Resources

About