2020
DOI: 10.1007/s00340-020-7399-1
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Investigation and classification of fibre deformation using interferometric and machine learning techniques

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Cited by 13 publications
(7 citation statements)
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“…Here, E()x,y presents the illumination of the background, D()x,y refers to the demodulated amplitude, uo is the carrier frequency, ψ()x,y is the desired phase object, and μ()x,y presents the additive noise that formed in the microinterferogram. The computational phase‐shifting interferometric method using a single‐shot microinterferogram technique that proposed in References (Omar, 2020a; Omar, 2020b) are considered to yield three daughter microinterferograms, with accurately known phase shift (π/2) rad between them, from the captured microinterferogram in Equation (1) as given in the following equations h2()x,y=E()x,y+D()x,ycos[]2πuox+ψ()x,y+π2+μ()x,y h3()x,y=E()x,y+D()x,ycos[]2πuox+ψ()x,y+π+μ()x,y h4()x,y=E()x,y+D()x,ycos[]2πuox+ψ()x,y+3π2+μ()x,y Before demodulating the phase object via the four‐frame phase shifting algorithm, the noisy microinterferograms in Equations (…”
Section: The Suggested Methodsmentioning
confidence: 99%
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“…Here, E()x,y presents the illumination of the background, D()x,y refers to the demodulated amplitude, uo is the carrier frequency, ψ()x,y is the desired phase object, and μ()x,y presents the additive noise that formed in the microinterferogram. The computational phase‐shifting interferometric method using a single‐shot microinterferogram technique that proposed in References (Omar, 2020a; Omar, 2020b) are considered to yield three daughter microinterferograms, with accurately known phase shift (π/2) rad between them, from the captured microinterferogram in Equation (1) as given in the following equations h2()x,y=E()x,y+D()x,ycos[]2πuox+ψ()x,y+π2+μ()x,y h3()x,y=E()x,y+D()x,ycos[]2πuox+ψ()x,y+π+μ()x,y h4()x,y=E()x,y+D()x,ycos[]2πuox+ψ()x,y+3π2+μ()x,y Before demodulating the phase object via the four‐frame phase shifting algorithm, the noisy microinterferograms in Equations (…”
Section: The Suggested Methodsmentioning
confidence: 99%
“…Convolution neural networks (CNNs) are subtypes of deep neural network (DNN) that applied to perform significant tasks such as images classification, natural language processing, segmentation, and image reconstruction (Karim et al, 2018; LeCun, Bengio, & Hinton, 2015; Omar, 2020a; Omar, 2020b; Omar et al, 2020). Generally, the structure of the CNN includes three layers; input layer, multiple convolutional layers (hidden layers), and output layer (LeCun et al, 2015).…”
Section: Introductionmentioning
confidence: 99%
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“…One of them is captured at the focus plane and the other two intensity images are captured at defined defocus planes [ 11 , 12 ]. The demodulated phase object via the TIE technique has worthy information such as surface profile, refractive index, degree of crystallinity, and polarizability [ 10 , 13 ]. The TIE technique has many unique advantages such as stability in measurements, simple optical setup (does not need reference beam), produce directly absolute phase map, capabilities to work with partially coherent source, and does not need iterations (simple calculations) [ 10 , 12 , 14 ].…”
Section: Introductionmentioning
confidence: 99%