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• W3100889748 abstract "In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically detected parameter related to the local bounded variation and the local oscillating pattern of the noisy input signal. We provide a mathematical analysis of the existence of the solution of our nonlinear and nonlocal diffusion equation in the two dimensional case (images processing). Finally, we propose a numerical scheme with some numerical experiments which demonstrate the effectiveness of the new method." @default.
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• W3100889748 date "2019-07-18" @default.
• W3100889748 modified "2023-09-26" @default.
• W3100889748 title "A New Nonlocal Nonlinear Diffusion Equation for Data Analysis" @default.
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• W3100889748 doi "https://doi.org/10.1007/s10440-019-00281-1" @default.
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