A two steps phase-shifting demodulation method using the VU factorization

Estrada, J. C.; Flores, Victor Humberto Orbegoso; Vargas, Javier

doi:10.1016/j.optlaseng.2021.106730

Cited by 3 publications

(1 citation statement)

References 18 publications

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“…The main problem that must be addressed is that there are only two expressions for four variables: the background, the modulation, the phase shift and the desired phase. Most of existing procedures rely either on a preliminary step known as background suppression or interferogram normalization [4][5][6][7][8][9][10][11][12][13][14][15][16]. Once one of this steps are carried out different algorithms can be applied to recover the phase.…”

Section: Introductionmentioning

confidence: 99%

Single step method for two-frame phase-shifting interferometry with unknown phase shift

López-Álvarez¹,

Muñoz-Maciel²,

Peña-Lecona³

et al. 2022

J. Opt.

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A procedure to recover the phase from two interferograms with unknown phase step is proposed. A least-square approach is used to solve simultaneously for the illumination background and the introduced phase shift in a local window. This allows to calculate the interferogram phase of the pixel at the center of the window with the standard arc-tangent formula. This process is carried out sequentially across the interferogram field until all pixels are recovered. The proposed scheme is fast and robust, and unlike others methods eliminates the need to implement prior steps of background suppression or interferogram normalization. The developed procedure may be used in problematic environments where vibrations or other disturbances difficult to acquire a full set of phase shifted interferograms with constants phase shifts. The developed procedure is validated in real and simulated data with good results.

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Section: Introductionmentioning

confidence: 99%

Single step method for two-frame phase-shifting interferometry with unknown phase shift

López-Álvarez¹,

Muñoz-Maciel²,

Peña-Lecona³

et al. 2022

J. Opt.

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show abstract

Two-step phase-shifting algorithms with background removal and no background removal

Liu¹,

Liang²

2023

Optics and Lasers in Engineering

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Accurate two-step random phase retrieval approach without pre-filtering based on hyper ellipse fitting

Li,

Du,

Feng

et al. 2024

Opt. Express

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In this work, we propose a hyper ellipse fitting-based high-precision random two-frame phase shifting algorithm to improve the accuracy of phase retrieval. This method includes a process of Gram-Schmidt orthonormalization, followed by a hyper ellipse fitting procedure. The Gram-Schmidt orthonormalization algorithm constructs a quadrature fringe pattern relative to the original fringe pattern. These two quadrature fringe patterns are then fed into the hyper ellipse fitting procedure, which reconstructs the phase map and refines the background light to produce the final accurate phase of interest. Due to the hyper ellipse fitting procedure, the demodulation results are significantly improved in many cases. This method allows us to design a two-shot phase reconstruction algorithm without the need for least squares iteration or pre-filtering, effectively mitigating residual background to the greatest extent. It combines the advantages of both the Gram-Schmidt orthonormalization method and the Lissajous ellipse fitting method, making our hyper ellipse fitting approach a simple, flexible, and accurate phase retrieval algorithm. Experiments show that by using the weighted least squares method and adjusting the weights, this method can prioritize data points with more significant information or higher reliability, ensuring more accurate estimation of the ellipse parameters.

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A two steps phase-shifting demodulation method using the VU factorization

Cited by 3 publications

References 18 publications

Single step method for two-frame phase-shifting interferometry with unknown phase shift

Single step method for two-frame phase-shifting interferometry with unknown phase shift

Two-step phase-shifting algorithms with background removal and no background removal

Accurate two-step random phase retrieval approach without pre-filtering based on hyper ellipse fitting

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