Theory and algorithms of an efficient fringe analysis technology for automatic measurement applications

Juarez-Salazar, Rigoberto; Guerrero-Sanchez, Fermin; Robledo-Sánchez, Carlos

doi:10.1364/ao.54.005364

Cited by 35 publications

(8 citation statements)

References 74 publications

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“…(18) - (21).The low-frequency components corresponding to four moiré fringe patterns as described in Eq. (26) - (29) are estimated through the complex encoding FT ,spectrum filtering and inverse FT,which are shown in Fig.2(c)-(f),Then the wrapped phase of the mask can determined by Eq. (30),After the phase unwrapping,the mask is restored effectively as shown in Fig.2(g).…”

Section: Experiments and Discussionmentioning

confidence: 99%

Dynamic 3D shape measurement based on the phase-shifting moire algorithm

Zhou

2020

Sixth Symposium on Novel Optoelectronic Detection Technology and Applications

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In order to increase the efficiency of phase retrieval,Wang et.al. proposed a high-speed moiré phase retrieval method.But it is used only to measure the tiny object. In view of the limitation of Wang's method,we proposed a dynamic three-dimensional(3D) measurement based on the phase-shifting moiré algorithm.First, four sinusoidal fringe patterns with a π/2 phase-shift are projected on the reference plane and acquired four deformed fringe patterns of the reference plane in advance. Then only single-shot deformed fringe pattern of the tested object is captured in measurement process.Four moiré fringe patterns can be obtained by numerical multiplication between the the AC component of the object pattern and the AC components of the reference patterns respectively. The four low-frequency components corresponding to the moiré fringe patterns are calculated by the complex encoding FT(Fourier transform) ,spectrum filtering and inverse FT.Thus the wrapped phase of the object can be determined in the tangent form from the four phase-shifting moiré fringe patterns using the four-step phase shifting algorithm.The continuous phase distribution can be obtained by the conventional unwrapping algorithm. Finally, experiments were conducted to prove the validity and feasibility of the proposed method. The results areanalyzed and compared with those of Wang's method, demonstrating that our method not only can expand the measurement scope, but also can improve accuracy.

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Section: Experiments and Discussionmentioning

confidence: 99%

Dynamic 3D shape measurement based on the phase-shifting moire algorithm

Zhou

2020

Sixth Symposium on Novel Optoelectronic Detection Technology and Applications

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“…In this appendix, the corner points of the imaged rectangle where obtained manually from the image. However, the corner points can be obtained automatically using checkerboard patterns or gratings along with grid detection 18 or phase demodulation, 19 respectively.…”

Section: Discussionmentioning

confidence: 99%

Operator-based homogeneous coordinates: application in camera document scanning

Juarez-Salazar

Díaz-Ramírez

2017

Opt. Eng

Self Cite

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Abstract. An operator-based approach for the study of homogeneous coordinates and projective geometry is proposed. First, some basic geometrical concepts and properties of the operators are investigated in the oneand two-dimensional cases. Then, the pinhole camera model is derived, and a simple method for homography estimation and camera calibration is explained. The usefulness of the analyzed theoretical framework is exemplified by addressing the perspective correction problem for a camera document scanning application. Several experimental results are provided for illustrative purposes. The proposed approach is expected to provide practical insights for inexperienced students on camera calibration, computer vision, and optical metrology among others.

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“…where Re [b (x, y)] and Im [b (x, y)] respectively denote the real and imaginary parts of b (x, y). The true first-order spectrum is obtained, which is wrapped by the wrapping operator [17,18] in Eq. ( 7), namely,…”

Section: Transient Phase Retrieval Of Radial Shearing Interferencementioning

confidence: 99%

Broad-band phase retrieval method for transient radial shearing interference using chirp Z transform technique*

Xue¹,

Duan²,

Chen³

et al. 2021

Chinese Phys. B

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The transient radial shearing interferometry technique based on fast Fourier transform (FFT) provides a means for the measurement of the wavefront phase of transient light field. However, which factors affect the spatial bandwidth of the wavefront phase measurement of this technology and how to achieve high-precision measurement of the broad-band transient wavefront phase are problems that need to be studied further. To this end, a theoretical model of phase-retrieved bandwidth of radial shearing interferometry is established in this paper. The influence of the spatial carrier frequency and the calculation window on phase-retrieved bandwidth is analyzed, and the optimal carrier frequency and calculation window are obtained. On this basis, a broad-band transient radial shearing interference phase-retrieval method based on chirp Z transform (CZT) is proposed, and the corresponding algorithm is given. Through theoretical simulation, a known phase is used to generate the interferogram and it is retrieved by the traditional method and the proposed method respectively. The residual wavefront RMS of the traditional method is 0.146λ, and it is 0.037λ for the proposed method, which manifests an improvement of accuracy by an order of magnitude. At the same time, different levels of signal-to-noise ratios (SNRs) from 50 dB to 10 dB of the interferogram are simulated, and the RMS of the residual wavefront is from 0.040λ to 0.066λ. In terms of experiments, an experimental verification device based on a phase-only spatial light modulator is built, and the known phase on the modulator is retrieved from the actual interferogram. The RMS of the residual wavefront retrieved through FFT is 0.112λ, and it decreases to 0.035λ through CZT. The experimental results verify the effectiveness of the method proposed in this paper. Furthermore, the method can be used in other types of spatial carrier frequency interference, such as lateral shearing interference, rotational shearing interference, flipping shearing interference, and four-wave shearing interference.

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Theory and algorithms of an efficient fringe analysis technology for automatic measurement applications

Cited by 35 publications

References 74 publications

Dynamic 3D shape measurement based on the phase-shifting moire algorithm

Dynamic 3D shape measurement based on the phase-shifting moire algorithm

Operator-based homogeneous coordinates: application in camera document scanning

Broad-band phase retrieval method for transient radial shearing interference using chirp Z transform technique*

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