Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms

Servı́n, Manuel; Marroquín, José L.; Cuevas, Francisco Javier Panera

doi:10.1364/josaa.18.000689

Cited by 129 publications

(79 citation statements)

References 7 publications

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“…In this work, PSO is presented to carry out the optimization process, where a parametric estimation of a non-linear function is proposed to fit the phase of a fringe pattern. Then, the PSO technique fits a global non-linear function instead of a local plane to each pixel, just as it is done in regularization techniques [27] and [28]. The fitting function is chosen depending on prior knowledge of the demodulation problem, such as object shape, carrier frequency, pupil size, etc; when no prior information about the shape of ( ) , x y φ is known, a polynomial fitting is recommended.…”

Section: Particle Swarm Optimizationmentioning

confidence: 99%

Demodulation of Interferograms based on Particle Swarm Optimization

Jimenez¹,

Sossa²,

Cuevas³

et al. 2012

Polibits

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Abstract-A parametric method to carry out fringe pattern demodulation by means of a particle swarm optimization is presented. The phase is approximated by the parametric estimation of an nth-grade polynomial so that no further unwrapping is required. A particle swarm is used to optimize the input parameters of the function that estimates the phase. A fitness function is established to evaluate the particles, which considers: (a) the closeness between the observed fringes and the recovered fringes, (b) the phase smoothness and c) the prior knowledge of the object, such as its shape and size. The swarm of particles evolves until a fitness average threshold is obtained. We demonstrate that the method is able to successfully demodulate fringe patterns and even a one-image closed-fringe pattern.

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Section: Particle Swarm Optimizationmentioning

confidence: 99%

Demodulation of Interferograms based on Particle Swarm Optimization

Jimenez¹,

Sossa²,

Cuevas³

et al. 2012

Polibits

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show abstract

“…Using this arbitrary classification (actually the negative of the above statement could also have been used) coupled with the quality-following scanning strategy, 12 one is able preferably to follow a scanning path defined by the fringes. 8 The main and essential advantage of following the fringes is to avoid crossing straight through the critical points of the modulating phase. The reason is that the 2D-QPT system does not estimate the local curvature of the modulating phase (only its value and gradient), so the 2D-QPT does not know how to handle the variety of critical points (minima, maxima, or saddles).…”

Section: Demodulation Of Two-dimensional Closed-fringe Patterns Usingmentioning

confidence: 99%

“…8 The improvement resides in the sequential quadrature estimation of the interferogram's fringes by the RQPT. Although the main objective of any fringe pattern demodulation technique is to find the modulating phase, it is of interest to note (as we will see) that the sequential calculation of the interferogram's quadrature highly improves the robustness of the RPT system presented in past publications.…”

Section: Introductionmentioning

confidence: 99%

Regularized quadrature and phase tracking from a single closed-fringe interferogram

2004

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A new sequential phase demodulator based on a regularized quadrature and phase tracker system (RQPT) is applied to demodulate two-dimensional fringe patterns. This RQPT system tracks the fringe pattern's quadrature and phase in a sequential way by following the path of the fringes. To make the RQPT system more robust to noise, the modulating phase around a small neighborhood is modeled as a plane and the quadrature of the signal is estimated simultaneously with the fringe's modulating phase. By sequentially calculating the quadrature of the fringe pattern, one obtains a more robust sequential demodulator than was previously possible. This system may be applied to the demodulation of a single interferogram having closed fringes.

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“…1 To solve this problem, researchers have developed several methods. [2][3][4][5] Recently two quadrature methods have appeared, based on the isotropic generalization of the onedimensional Hilbert transform for the phase demodulation from a single fringe pattern, 4,5 in which the importance of the fringe orientation is made explicit, appearing as a term of the quadrature operator.…”

Section: Introductionmentioning

confidence: 99%

Estimation of the orientation term of the general quadrature transform from a single n-dimensional fringe pattern

et al. 2005

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The spatial orientation of the fringe has been demonstrated to be a key point in the reliable phase demodulation from a single n-dimensional fringe pattern regardless of the frequency spectrum of the signal. The recently introduced general n-dimensional quadrature transform (GQT) makes explicit the importance of the fringe orientation in the demodulation process. The GQT is a quadrature operator that transforms cos into Ϫsin -where is the modulating phase-and it is composed of two terms: an orientation factor directly related to the fringe's spatial orientation and an isotropic n-dimensional generalization of the one-dimensional Hilbert transform. We present a method for the determination of the orientation factor in a general n-dimensional case and its application to the demodulation of a single fringe pattern by the GQT. We have tested the algorithm with simulated as well as real photoelastic fringe patterns with good results.

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Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms

Cited by 129 publications

References 7 publications

Demodulation of Interferograms based on Particle Swarm Optimization

Demodulation of Interferograms based on Particle Swarm Optimization

Regularized quadrature and phase tracking from a single closed-fringe interferogram

Estimation of the orientation term of the general quadrature transform from a single n-dimensional fringe pattern

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