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Available from: Dominique Ginhac
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    ABSTRACT: It is progressively realized that noise can play a constructive role in the domain of nonlinear information pro-cessing. This phenomenon, also known as stochastic resonance (SR) effect, has experienced large varieties of extensions with variations concerning the type of noise, the type of information carrying signal or the type of nonlinear system interacting with the signal-noise mixture. In this article, we propose an interpretation for the mechanism of noise-enhanced image restoration with nonlinear PDE (Partial Differential Equation) recently demonstrated in literature. More precisely, a link is established between the action of noise in a nonlinear Perona–Malik anisotropic diffusion and stochastic resonance in memoryless nonlinear systems for 1-D signals. For illustration some preliminary results are presented on classical "camera-man" image and the inner of SR mechanism is theoretically and practically studied using a simple set of parameters regarding the PDE used and the modeling of boundaries within images.
    Full-text · Article · Jan 2012
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    ABSTRACT: We propose a new algorithm inspired by the properties of diffusion processes for image filtering. We show that purely nonlinear diffusion processes ruled by Fisher equation allows contrast enhancement and noise filtering, but involves a blurry image. By contrast, anisotropic diffusion, described by Perona and Malik algorithm, allows noise filtering and preserves the edges. We show that combining the properties of anisotropic diffusion with those of nonlinear diffusion provides a better processing tool which enables noise filtering, contrast enhancement and edge preserving.
    No preview · Article · Jun 2009 · Physics Letters A
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    ABSTRACT: An electrical transmission lattice exactly ruled by the Klein-Gordon equation is proposed. It is experimentally shown that this medium transmits energy even outside its bandpass via the supratransmission effect. Information transmission applications are discussed.
    No preview · Article · Feb 2010 · Electronics Letters
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