Fringe analysis: Premise and perspectives

Gannavarpu, Rajshekhar; Rastogi, Pramod K.

doi:10.1016/j.optlaseng.2012.04.006

Cited by 109 publications

(29 citation statements)

References 216 publications

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“…The root-mean-square error (RMSE) in estimation of ∆ϕ 1 (x, y)and ∆ϕ 2 (x, y) were found to be 0.0558 and 0.0818 radians, respectively. The error in the phase estimation near the segment boundaries can be further reduced using overlapping segments [12,13], which improves the estimation accuracy, though at a higher computational cost.…”

Section: Simulation and Experimental Resultsmentioning

confidence: 99%

Simultaneous measurement of in-plane and out-of-plane displacements using pseudo-Wigner-Hough transform

Kulkarni

Rastogi

2014

Opt. Express

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Abstract:A new method based on pseudo-Wigner-Hough transform is proposed for the simultaneous measurement of the in-plane and out-of-plane displacements using digital holographic moiré. Multiple interference phases corresponding to the in-plane and out-of-plane displacement components are retrieved from a single moiré fringe pattern. The segmentation of the interference field allows us to approximate it with a multicomponent linear frequency modulated signal. The proposed method accurately and simultaneously estimates all the phase parameters of the signal components without the use of any signal separation techniques. Simulation and experimental results demonstrate the efficacy of the proposed method and its robustness against the variations in object beam intensity.

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Section: Simulation and Experimental Resultsmentioning

confidence: 99%

Simultaneous measurement of in-plane and out-of-plane displacements using pseudo-Wigner-Hough transform

Kulkarni

Rastogi

2014

Opt. Express

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“…Such optical techniques have been applied to measure physical parameters such as curvature radius, displacement, strain, surface profile and refractive index. The information regarding the measured physical quantity is stored in the radius parameter of the captured fringe pattern [1]. Some optical fringes, i.e., elementary fringes that have great importance in optical measurement (e.g., Newton's rings fringe patterns), have a quadratic (i.e., secondorder polynomial) phase.…”

Section: Introductionmentioning

confidence: 99%

Measurement to radius of Newton’s ring fringes using polar coordinate transform

Bai

Liu

et al. 2016

J. Eur. Opt. Soc.-Rapid Publ.

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Background: Newton's ring method is often used to measure many physical parameters. And some measured physical quantity can be extracted by calculating the radius parameter of circular fringes from Newton's ring configuration. Methods: The paper presents a new measuring method for radius of circular fringes, which includes three main steps, i.e., determination of center coordinates of circular fringes, polar coordinates transformation of circular fringes, and gray projection of the transformed result which along the horizontal direction. Then the radius values of each order ring are calculated. Results: The simulated results indicate that the measuring accuracy of the radius under the effect of random noise can keep the degree of less than 0.5 pixels. Conclusions: The proposed method can obtain the radius data of each order closed circular fringes. Also, it has several other advantages, including ability of good anti-noise, sub-pixel accuracy and high reliability, and easy to in-situ use.

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“…Such systems not only find applications in the classical fields of physics and engineering, but have expanded into many other disciplines, such as medicine, life sciences, biometry, communication technology, display of information in three dimensions, analog optical computation, machine vision, and photogrammetry, to mention only a few examples [4][5][6][7][8][9][10]. Figure 1 depicts a generic phase-based measurement system.…”

Section: Introductionmentioning

confidence: 99%

Theory and algorithms of an efficient fringe analysis technology for automatic measurement applications

2015

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Some advances in fringe analysis technology for phase computing are presented. A full scheme for phase evaluation, applicable to automatic applications, is proposed. The proposal consists of: a fringe-pattern normalization method, Fourier fringe-normalized analysis, generalized phase-shifting processing for inhomogeneous nonlinear phase shifts and spatiotemporal visibility, and a phase-unwrapping method by a rounding-least-squares approach. The theoretical principles of each algorithm are given. Numerical examples and an experimental evaluation are presented.

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Fringe analysis: Premise and perspectives

Cited by 109 publications

References 216 publications

Simultaneous measurement of in-plane and out-of-plane displacements using pseudo-Wigner-Hough transform

Simultaneous measurement of in-plane and out-of-plane displacements using pseudo-Wigner-Hough transform

Measurement to radius of Newton’s ring fringes using polar coordinate transform

Theory and algorithms of an efficient fringe analysis technology for automatic measurement applications

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