An Improved Two-Step Phase-Shifting Algorithm Based on Gram-Schmidt Orthonormalization

Wenhu, 牛文虎 Niu; Liyun, 钟丽云 Zhong; Peng, 孙鹏 Sun; Chunshu, 罗春姝 Luo; Xiaoxu, 吕晓旭 Lü

doi:10.3788/cjl201542.0608002

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“…During the initial stage of research, classes of phase shifting algorithms such as 4-step, 5-step, 6-step and N-step phase shifting algorithms have been introduced [ [10] , [11] , [12] ]. Over recent years, the randomized iterative least squares fitting algorithm (AIA), the principal component analysis (PCA) method, the wavelength modulation algorithm and the 2-step phase shift algorithm based on the G. Schmidt orthogonal transform have been further proposed [ [13] , [14] , [15] ]. All of the above phase demodulation algorithms have been developed to a higher level in terms of demodulation accuracy, speed and robustness.…”

Section: Introductionmentioning

confidence: 99%

A high accuracy measurement method based on vortex polar axis rotation phase-shifting interferometry (VPAR-PSI)

Sun

et al. 2023

Heliyon

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Section: Introductionmentioning

confidence: 99%

A high accuracy measurement method based on vortex polar axis rotation phase-shifting interferometry (VPAR-PSI)

Sun

et al. 2023

Heliyon

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Demodulation method based on a component synthesis and gradient projection for phase-shifting interferometry

Chen¹,

Zhong²,

Zhang³

et al. 2022

Appl. Opt.

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In order to reduce the vibration error of phase-shifting interferometry (PSI) and improve the demodulation accuracy of the wavefront phase, a demodulation method based on a component synthesis and gradient projection for PSI is proposed. For two sequences of interference images with a phase shift of 0, π / 2 , the method first corrects the vibration error by the pre-processing mechanism and multi-component synthesis. At the same time, two frames of interference images with a phase shift of 0, π / 2 are synthesized. Then the gradient projection algorithm is used to filter the background light of the synthesized image, and the wavefront phase is demodulated based on the arctangent operation. The experimental results show that the percentage of pixels demodulated effectively at the truncated interface is more than 90%. Compared with the traditional demodulation method, the number of pixels demodulated effectively (demodulation accuracy) is improved.

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An Improved Two-Step Phase-Shifting Algorithm Based on Gram-Schmidt Orthonormalization

Cited by 2 publications

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A high accuracy measurement method based on vortex polar axis rotation phase-shifting interferometry (VPAR-PSI)

A high accuracy measurement method based on vortex polar axis rotation phase-shifting interferometry (VPAR-PSI)

Demodulation method based on a component synthesis and gradient projection for phase-shifting interferometry

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