Weighted least-squares phase unwrapping algorithm based on derivative variance correlation map

Lu, Yuangang; Wang, Xiangzhao; Zhang, Xuping

doi:10.1016/j.ijleo.2006.01.006

Cited by 43 publications

(20 citation statements)

References 10 publications

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“…(19), the wrapped phase can be retrieved as φðx; yÞ ¼ arctan Im cðx; yÞ Re cðx; yÞ ; (20) where ImðÞ and ReðÞ are the mean imaginary and real parts of cðx; yÞ. BPF½: is the operator of the band pass filter and F I fðε; δÞ is the fundamental spectrum of Ffðε; δÞ.…”

Section: Ft Methodsmentioning

confidence: 99%

Digital carrier superposition by Hilbert–Huang transform for optical phase recovery in speckle shearing interferometry

Amar¹,

Bahich²,

Dalimi³

et al. 2015

Opt. Eng

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Industrial production constraints often require technical tests and controls. Optical metrology methods allow a non destructive test of wide range of parameters, such as defects and displacements, with very good accuracy. The phase retrieval is an effective way that allows three-dimensional profile reconstruction from intensity shearograms. This research work focuses on the extraction of the phase from one uncarrier shearogram using the Hilbert-Huang transform. An algorithm for the phase calculation based on the bidimensional empirical mode decomposition, Hilbert transform (HT), and Fourier transform (FT) is presented. A spatial digital carrier has been superimposed before the application of the FT or HT which uses two π 2 shifted shearograms, to get access to the phase map via a global analysis of intensity images. An evaluation was made through a numerical simulation to validate and confirm the performance of the proposed algorithm. The main advantage of this technique is its ability to provide a metrological solution for fast dynamic analysis.

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Section: Ft Methodsmentioning

confidence: 99%

Digital carrier superposition by Hilbert–Huang transform for optical phase recovery in speckle shearing interferometry

Amar¹,

Bahich²,

Dalimi³

et al. 2015

Opt. Eng

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“…The derivative variance correlation map (Lu et al, 2005;Lu et al, 2006;Lu et al, 2007) is a hybrid from two commonly used quality maps, the pseudo-correlation map and the derivative variance map. The value of the quality map for pixel (m, n) is calculated according to …”

Section: Derivative Variance Correlation Mapmentioning

confidence: 99%

Quality Map Generation in Two-Dimensional Phase Unwrapping Process by Using Edge Detection Techniques

Lu¹,

Zhao²,

Zhang³

2010

Vision Sensors and Edge Detection

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“…For years, a great deal of techniques have been developed. As a general rule, most of these algorithms can be classified into two categories: path-following [11][12][13] and minimum-norm methods [14][15][16][17]. In the first class approaches, different quality maps, including correlation, pseudocorrelation, phase derivative variance, or maximum phase gradient, are possible means for helping with the path-selection problem.…”

Section: Introductionmentioning

confidence: 99%

Robust wrapping-free phase retrieval method based on weighted least squares method

Wang

Zhou

et al. 2017

Optics and Lasers in Engineering

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For many profilometry techniques, phase unwrapping is one of the most challenging process. In order to sidestep the phase unwrapping process, Perciante et. al [Appl Opt 2015; 54(10):3018-23] proposed a wrapping-free method based on the direct integration of the spatial derivatives of the patterns to retrieve the phase. But it is only applicable for the case of the phase continuity for the tested object, which means it may fail to handle fringe patterns containing complicated singularities, such as noise, shadow, shears and surface discontinuity. In view of this problems, a robust wrapping-free phase retrieval method is proposed in this paper, which is based on combined Perciante's method and weighted least-squares method. Two partial derivatives of the desired phase is obtained from the fringe patterns, meanwhile the carrier is eliminated using direct phase difference method. The phase singularities are determined using derivative variance correlation map (DVCM), and the weighting coefficient is obtained from the binary mask of the reverse DVCM. Simulations and experiments are conducted to prove the validity of the proposed method. Results are analyzed and compared with those of Perciante's method, demonstrating that the proposed method can be available for measuring objects with some kinds of singularities sources.

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Weighted least-squares phase unwrapping algorithm based on derivative variance correlation map

Cited by 43 publications

References 10 publications

Digital carrier superposition by Hilbert–Huang transform for optical phase recovery in speckle shearing interferometry

Digital carrier superposition by Hilbert–Huang transform for optical phase recovery in speckle shearing interferometry

Quality Map Generation in Two-Dimensional Phase Unwrapping Process by Using Edge Detection Techniques

Robust wrapping-free phase retrieval method based on weighted least squares method

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