12 April 2017 Estimation of phase derivative from a single fringe pattern using Riesz transforms
Yassine Tounsi, Sara Zada, Desire Muhire, Ahmed Siari, Abdelkrim Nassim
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Abstract
We propose a technique to estimate the phase derivative in both x and y directions based on Riesz transform from a single speckle correlation fringes. The originality of this technique is to exploit Riesz transform for phase derivatives estimation, spatial modulation, speckle denoising, and measure of features similarity. Phase modulation process is realized by combining a digital spatial carrier and Riesz quadrature; speckle denoising is computed using Riesz wavelets transform, and the performance is evaluated by Riesz features SIMilarity. Before applying our method on real speckle correlation fringes, its performance is tested by numerical simulation.
© 2017 Society of Photo-Optical Instrumentation Engineers (SPIE) 0091-3286/2017/$25.00 © 2017 SPIE
Yassine Tounsi, Sara Zada, Desire Muhire, Ahmed Siari, and Abdelkrim Nassim "Estimation of phase derivative from a single fringe pattern using Riesz transforms," Optical Engineering 56(11), 111706 (12 April 2017). https://doi.org/10.1117/1.OE.56.11.111706
Received: 6 January 2017; Accepted: 28 March 2017; Published: 12 April 2017
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CITATIONS
Cited by 4 scholarly publications.
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KEYWORDS
Transform theory

Fringe analysis

Speckle

Wavelets

Wavelet transforms

Modulation

Denoising

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