Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes

Tang, Chen; Han, Lin-Hai; Ren, Hongwei; Zhou, Danhong; Chang, Yi-Ming; Wang, Xiaohang; Cui, Xiaopeng

doi:10.1364/ol.33.002179

Cited by 91 publications

(29 citation statements)

References 9 publications

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“…In the following numerical experiment we evaluate the quality of the speckle fringe pattern denoising for several distinct algorithms: median filtration, linear Gaussian filtration, Wiener adaptive filtration scheme, anisotropic partial differential equation (PDE) of diffusion [7], regular NLM and the multiplicative variant of the NLM algorithm. The results are presented in the Fig.1.…”

Section: Numerical Resultsmentioning

confidence: 99%

Filtering ESPI Fringe Images with Non-local Means Algorithm

Wielgus

Patorski

2014

Fringe 2013

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IntroductionThe presence of the multiplicative speckle noise, intrinsic to Electronic Speckle Pattern Interferometry (ESPI), limits the quality of ESPI measurements. Of many algorithms proposed to reduce the speckle noise in the image, only few recognize the statistical properties of the speckle noise and the multiplicative relation between the underlying cosinusoidal pattern and the speckle interferogram. Local averaging is a limited approach because of the possibly very high differences between the adjacent pixels in relation to the mean signal value, which corresponds to particularly low signal to noise ratio. In this paper we test an approach based on the non-local means algorithm, which is a global weighted averaging scheme based on the pixels neighborhoods (patches) similarity criterion. Speckle Fringe Pattern Mathematical ModelA detailed probablistic model of the speckle image formation can be found in [1]. It can be rigorously shown, that the speckle optical field amplitude a(x) obeys the Rayleigh distribution, Eq. (1), while phase ϕ(x) obeys the uniform distribution .This implies that the intensity of the speckle pattern obeys the negative exponential distribution. We consider the case in which correlation length is smaller than the resolution of optical system, i.e., there is no correlation between the registered intensities in adjacent pixels. A rather simple way to model the correlation speckle fringe pattern of adequate statistical properties is to calculate the random complex optical field A 1 (x) of given probabilistic distribution and then produce the similar pattern A 2 (x) but with phase component modified by the known function δ(x) ,

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Section: Numerical Resultsmentioning

confidence: 99%

Filtering ESPI Fringe Images with Non-local Means Algorithm

Wielgus

Patorski

2014

Fringe 2013

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“…Apply the idea of the direction mask to the traditional bilateral filtering method, we can obtain the oriented bilateral filtering method. In [2], Tang et.al proposed the second-order oriented PDE models (SOOPDE). That is 2 2 cos sin 2 sin cos…”

Section: Denoise Speckle Noisementioning

confidence: 99%

Electronic speckle pattern interferometry for fracture expansion in nuclear graphite based on PDE image processing methods

et al. 2015

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Nuclear graphite has been widely used as moderating and reflecting materials. However, due to severe neutron irradiation under high temperature, nuclear graphite is prone to deteriorate, resulting in massive microscopic flaws and even cracks under large stress in the later period of its service life. It is indispensable, therefore, to understand the fracture behavior of nuclear graphite to provide reference to structural integrity and safety analysis of nuclear graphite members in reactors. In this paper, we investigated the fracture expansion in nuclear graphite based on PDE image processing methods. We used the secondorder oriented partial differential equations filtering model (SOOPDE) to denoise speckle noise, then used the oriented gradient vector fields for to obtain skeletons. The full-field displacement of fractured nuclear graphite and the location of the crack tip were lastly measured under various loading conditions. Keywords: Electronic speckle pattern interferometry, the oriented partial differential equations image processing, filtering speckle noise, fractured nuclear graphite, the location of the crack tip.

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“…The speckle pattern interferometry is based on the correlation of two speckle patterns captured before and after the surface deformation to calculate the deformation profile [21][22][23][24][25][26][27]. This technique has been widely applied to measure the relevant properties of optically diffusive surfaces in terms of speckle patterns.…”

Section: Introductionmentioning

confidence: 99%

Non-Destructive Testing on Optofluidic Lens Using Speckle Referencing-DSPI

Song¹,

Prasad²,

Matham³

et al. 2017

dtetr

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Abstract. Tunable optofluidic lenses, ranging from in-plane micro-lenses to bulky out-of-plane lenses, were the subjects of research and analysis with much interest over the past decade. However, a reliable and practically feasible metrological approach and methodology is yet to be developed to study the properties and performance of the optofluidic lenses. In this report, we propose and demonstrate to utilize digital speckle pattern interferometry (DSPI) with the aid of speckle referencing to non-destructively evaluate the performance of a pneumatically driven out-of-plane optofluidic lens through measuring the 3-dimensional interface deformation.

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Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes

Cited by 91 publications

References 9 publications

Filtering ESPI Fringe Images with Non-local Means Algorithm

Filtering ESPI Fringe Images with Non-local Means Algorithm

Electronic speckle pattern interferometry for fracture expansion in nuclear graphite based on PDE image processing methods

Non-Destructive Testing on Optofluidic Lens Using Speckle Referencing-DSPI

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