Phase-tilt iteration: Accurate and robust phase extraction from random tilt-shift interferograms

Duan, Mingliang; Zong, Yi; Zhu, Rihong; Li, Jianxin

doi:10.1016/j.optlaseng.2021.106595

Cited by 15 publications

(4 citation statements)

References 21 publications

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“…The phase-shifting error value in the formula is an unknown quantity [29]. Similarly, the phase-shifting error value can be solved by the least-squares method.…”

Section: Frequency-shifted Phase Shifting Extraction Algorithm Based On Selection Samplingmentioning

confidence: 99%

Step Surface Profile Measurement Based on Fringe Projection Phase-Shifting Using Selective Sampling

Zhang

Huang

2021

Photonics

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Fringe projection is a non-contact optical method that is widely used in the optical precision measurement of complex stepped surfaces. However, the accuracy of the fringe phase extraction employed has a direct impact on the measurement precision of the surface shape. Where phase-shifting measurement is used, the classical equal step phase extraction algorithm can only be used to measure simple and smooth surfaces, and leads to measurement errors on complex stepped surfaces, which affects the accuracy of the phase extraction. In addition, the iterative process lasts for a long time, resulting in a low efficiency. This paper proposes a step-by-step phase-shifting extraction algorithm based on selective sampling to measure the contour of the stepped surface. Firstly, the fringe pattern is sampled at equal intervals to reduce the iterative calculation time. Finally, the accurate measurement phase is calculated by the alternating iteration method. The phase extraction accuracy and iteration times are compared in experimental measurements between classical iterative algorithms such as four-step phase-shifting algorithms and the variable phase shift phase interpolation algorithm based on selective sampling. It is shown that the variable frequency phase-shifting extraction algorithm based on selective sampling has a shorter operation time, smaller error, and higher accuracy than the traditional iterative algorithm in fringe projection measuring complex stepped surfaces.

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“…The phase-shifting error value in the formula is an unknown quantity [29]. Similarly, the phase-shifting error value can be solved by the least-squares method.…”

Section: Frequency-shifted Phase Shifting Extraction Algorithm Based On Selection Samplingmentioning

confidence: 99%

Step Surface Profile Measurement Based on Fringe Projection Phase-Shifting Using Selective Sampling

Zhang

Huang

2021

Photonics

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“…A variety of uncertain factors such as equipment vibration and phase shift calibration will introduce random phase shift errors in the experiment, which will affect the accuracy of phase measurement. Therefore, this requires the hardware measurement equipment to have high stability [4] .…”

Section: Introductionmentioning

confidence: 99%

Design of improved Gram-Schmidt orthonormalization method for phase extraction of random phase shifting grating projection interferograms

Mao,

Zhao,

Liang

2023

3rd International Conference on Laser, Optics, and Optoelectronic Technology (LOPET 2023)

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In order to overcome the problem that traditional phase shifting interferometry requires hardware equipment with high stability, a phase extraction method for grating projection interferograms with two-step random phase shifting based on the improved Gram-Schmidt orthonormalization technology is proposed. Firstly, the background of the two-frame grating projection interferograms obtained by random phase shifting is filtered by Gaussian high-pass filter. Then, the phase shift value is obtained by the relation between the norms of two vectors. The phase distribution of the interferogram is extracted by a two-step phase shifting algorithm based on the arctangent function. In addition, the grating projection measurement system is designed, and the real experiments results show that compared with GS algorithm, the proposed method can obtain the phase shift value, and has obvious advantages in accuracy and calculation speed.

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“…Okada et al proposed their algorithm using an alternative linear least-squares fitting framework to iteratively estimate the phase and the phase shifts [168]. The advanced iterative algorithm [169] respectively [172,173]. Deck proposed a model based phase-shifting interferometry [174] to minimize the impact from both the intensity harmonics and the phase-shift nonuniformities.…”

Section: More Phase-shifting Algorithmsmentioning

confidence: 99%

“…Xu's algorithm [170], Hoang's algorithm [171], the phase-tilt iteration algorithm (PTI) [172] and the model based phase-shifting interferometry algorithm (MPSI) [174] for discussion in this subchapter.…”

Section: Optimization Based Upsasmentioning

confidence: 99%

Advanced phase shifting algorithms: development and evaluation

Chen¹

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Phase-tilt iteration: Accurate and robust phase extraction from random tilt-shift interferograms

Cited by 15 publications

References 21 publications

Step Surface Profile Measurement Based on Fringe Projection Phase-Shifting Using Selective Sampling

Step Surface Profile Measurement Based on Fringe Projection Phase-Shifting Using Selective Sampling

Design of improved Gram-Schmidt orthonormalization method for phase extraction of random phase shifting grating projection interferograms

Advanced phase shifting algorithms: development and evaluation

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