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Bahich M.,Equipe dOptique Appliquee et Traitement dImages | Bailich M.,Equipe dElectronique et Telecommunications | Imloul A.,Equipe dOptique Appliquee et Traitement dImages | Afifi M.,Equipe dOptique Appliquee et Traitement dImages | Barj E.,Equipe dOptique Appliquee et Traitement dImages
Optics Communications | Year: 2013

Today, more severe industrial constraints of realization require frequently a measurement and control techniques. The optical metrology methods allow a non-destructive control of a wide range of parameters (deformations, displacements⋯), with a very high accuracy. The phase retrieval is a successful measurement technique which allows the reconstruction of 3D images of physical parameters from the intensity fringe patterns. This research work articulates around the phase retrieval from a single fringe pattern using the wavelet-based techniques. We present here a comparative study of the phase retrieval algorithms based on the one and two-dimensional continuous wavelet transforms for getting access to the phase distribution via local analysis of a noisy fringe patterns. An evaluation through numerical simulations was conducted to prove the validity and the performance of the algorithms. The main advantage of these techniques is their ability to offer a metrological solution adapted to the dynamic analysis needs in disruptive environments. © 2012 Elsevier B.V. All rights reserved. Source


Bahich M.,Equipe dOptique Appliquee et Traitement dImages | Afifi M.,Equipe dOptique Appliquee et Traitement dImages | Barj E.,Equipe dOptique Appliquee et Traitement dImages
Optik | Year: 2011

Hilbert transform and continuous wavelet transform are combined to form an algorithm for the analysis of a single fringe pattern with open or closed fringes. Only one recorded fringe pattern is needed to extract the phase information. A second π/2 phase shifted fringe pattern should first be generated from the other using Hilbert transform to superpose numerically the spatial carrier. Several phase extraction techniques are conceived to demodulate fringe patterns. In this paper, the wavelet technique is used to obtain the required phase distribution. The algorithm offers an advantage that it is appropriate when the spatial carrier is impossible to be added experimentally. Finally, a simulation was carried out to validate the algorithm, giving good results. © 2011 Elsevier GmbH. All rights reserved. Source

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