Nonlinear restoration of pulse and high noisy images via stochastic resonance

We employ nematic liquid crystals as the nonlinear medium to recover noisy images via stochastic resonance, in which nonlinear coupling allows signals to grow at the expense of noise. The process is theoretically analyzed and the cross-correlation is numerically calculated. It is found that the quality of output images is affected by the input noise intensity, the applied voltage and the correlation length of noise light. Noise-hidden images can be effectively recovered by optimizing these parameters. The results suggest that nematic liquid crystals can be used for reconstruction of noisy images via stochastic resonance based on modulation instability with molecule reorientation nonlinearity.

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“…Han et al . developed and proved the model for reconstruction of nanosecond pulse images theoretically and experimentally 11,12 . Zhang et al .…”

Section: Introductionmentioning

confidence: 92%

Reconstruction of noisy images via stochastic resonance in nematic liquid crystals

Feng

Liu

Huang

et al. 2019

Sci Rep

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“…During this process of image enhancement, which uses modulation instability, the nonlinear coefficient of the crystal is controlled by an external voltage. For instance, Sun et al have considered a nanosecond pulse signal carrying a high noisy image as the coherent information to be retrieved by this dynamical SR mechanism based on modulation instability [34]. While the noise intensity is constant, they have shown that an appropriate setting of the voltage controlling the nonlinearity allows one to extract with a fairly good efficiency the hidden image representing the number 20.…”

Section: Nonlinear Resonance In the Context Of Image Processing Visual Perception And Ditheringmentioning

confidence: 99%

On some applications of vibrational resonance on noisy image perception: the role of the perturbation parameters

Morfu¹,

Usama²,

Marquié³

2021

Phil. Trans. R. Soc. A.

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In this paper, we first propose a brief overview of nonlinear resonance applications in the context of image processing. Next, we introduce a threshold detector based on these resonance properties to investigate the perception of subthreshold noisy images. By considering a random perturbation, we revisit the well-known stochastic resonance (SR) detector whose best performances are achieved when the noise intensity is tuned to an optimal value. We then introduce a vibrational resonance detector by replacing the noisy perturbation with a spatial high-frequency signal. To enhance the image perception through this detector, it is shown that the noise level of the input images must be lower than the optimal noise value of the SR-based detector. Under these conditions, considering the same noise level for both detectors, we establish that the vibrational resonance (VR)-based detector significantly outperforms the SR-based detector in terms of image perception. Moreover, we show that whatever the perturbation amplitude, the best perception through the VR detector is ensured when the perturbation frequency exceeds the image size. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

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“…The weak signals excite an instability and reinforce themself at the expense of noise under self-focusing nonlinearity in a photorefractive crystal. The work raises an interesting point of optical image recovery and then is extended to pulse noisy image recovery and underwater object detection [13][14][15]. The nonlinear method presents more detailed information by exploiting the presence and interaction of many photons [16].…”

Section: Introductionmentioning

confidence: 99%

Logical Image Reconstruction by Monitoring a Seeded Potential in Variable Detection Planes

et al. 2020

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Nonlinear restoration of pulse and high noisy images via stochastic resonance

Cited by 12 publications

References 17 publications

Reconstruction of noisy images via stochastic resonance in nematic liquid crystals

Reconstruction of noisy images via stochastic resonance in nematic liquid crystals

On some applications of vibrational resonance on noisy image perception: the role of the perturbation parameters

Logical Image Reconstruction by Monitoring a Seeded Potential in Variable Detection Planes

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