Phase stepping: a new self-calibrating algorithm

Surrel, Yves

doi:10.1364/ao.32.003598

Cited by 174 publications

(90 citation statements)

References 5 publications

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“…The algorithm I find is different from the well-known basic form in which the equational expression has sine components in the numerator and cosine components in the denominator 10) . In addition, it works for a high-speed precision profilometer using a phase shift greater than 2π 11) .…”

Section: Introductionmentioning

confidence: 84%

Phase-shift algorithm for white-light interferometry insensitive to linear errors in phase shift

Adachi

2008

OPT REV

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White-light interference has changes in fringe contrast. When phase-shift techniques are applied to white-light interference, the phase-shift algorithm which can extract the phase accurately under the contrast changes is required. There is often another requirement that the phase shift between frames should not be restricted to π/2. Computer simulations show that the well-known algorithms have non-negligible errors under both requirements.To find an algorithm which will satisfy the requirements, I extract individual terms (I j m I k ) in an algorithmic equation by considering symmetry of light intensity against phase, where I j is light intensity just after the j-th phase shift. Using computer simulations, I 1 search for appropriate coefficients by which the terms are multiplied in the equation, finally finding an algorithm which satisfies both the requirements with the phase shift used.

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Section: Introductionmentioning

confidence: 84%

Phase-shift algorithm for white-light interferometry insensitive to linear errors in phase shift

Adachi

2008

OPT REV

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“…The displacement computation is based on the phase shift between the reference and deformed images [33]. In this study, a windowed discrete Fourier transform (WDFT) algorithm was used [34,35,42,43]. It calculates the discrete Fourier transform of the intensity over a set of pixels over a triangular windowed kernel.…”

Section: Methodsmentioning

confidence: 99%

Identification of the Dynamic Properties of Al 5456 FSW Welds Using the Virtual Fields Method

Louëdec

Pierron

Sutton

et al. 2015

J. dynamic behavior mater.

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The present study focuses on the identication of the evolution of the dynamic elasto-plastic properties of Al 5456 FSW welds. An innovative method is proposed to make best use of the data collected with full-eld measurements during dynamic experiments, and achieve identication of the mechanical properties of heterogeneous materials without requiring measurement of the load. Compressive specimens have been submitted to high strain-rate loading through a Split Hopkinson Pressure Bar (SHPB) device while displacement elds were measured using full-eld measurement techniques. Two sets of experiments have been performed using two dierent methods: the Grid Method and Digital Image Correlation. Afterwards, the identication of the elastic and plastic properties of the material was carried out using the Virtual Fields Method. Finally, identication of the evolution of the yield stress throughout the weld has been achieved for strain-rates of the order of 10 3 s −1 .

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“…These phase increments are generally applied using a piezoelectric device (PZT). Although three frames are normally sufficient to compute the phase distribution, the measurement process is sensitive to various systematic [6][7][8][9][10][11][12][13][14][15][16][17][18] and random errors [19][20][21][22][23][24]. The large number of frames has been shown to decrease the sensitivity to these errors.…”

Section: Introductionmentioning

confidence: 99%

“…Most of these algorithms aim at minimizing the errors arising due to the nonlinear characteristic inherent in the piezoelectric device PZT. These algorithms termed as self-compensating [1,[8][9][10]12,22,27] have proved to be effective while compensating deterministic phase shift error, even until third order nonlinearities. Some of the algorithms minimize the effect of other systematic errors such as optical system aberrations [5,18], parasitic fringes [6,28], photodetection errors [29,30] and quantization errors [17,31].…”

Section: Introductionmentioning

confidence: 99%

An integral approach to phase shifting interferometry using a super-resolution frequency estimation method

Patil¹,

Langoju²,

Rastogi³

2004

Opt. Express

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Abstract:The objective of this paper is to describe an integral approachbased on the use of a super-resolution frequency estimation method -to phase shifting interferometry, starting from phase step estimation to phase evaluation at each point on the object surface. Denoising is also taken into consideration for the case of a signal contaminated with white Gaussian noise. The other significant features of the proposal are that it caters to the presence of multiple PZTs in an optical configuration, is capable of determining the harmonic content in the signal and effectively eliminating their influence on measurement, is insensitive to errors arising from PZT miscalibration, is applicable to spherical beams, and is a robust performer even in the presence of white Gaussian intensity noise.

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Phase stepping: a new self-calibrating algorithm

Abstract: A new (N + 1)-bucket algorithm is proposed for phase-stepping systems. It eliminates most of the errors caused by the phase-shifter miscalibration.

Cited by 174 publications

References 5 publications

Phase-shift algorithm for white-light interferometry insensitive to linear errors in phase shift

Phase-shift algorithm for white-light interferometry insensitive to linear errors in phase shift

Identification of the Dynamic Properties of Al 5456 FSW Welds Using the Virtual Fields Method

An integral approach to phase shifting interferometry using a super-resolution frequency estimation method

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