Data di Pubblicazione:
2017
Citazione:
A new nonlocal nonlinear diffusion equation for image denoising and data analysis / G. Aletti, M. Moroni, G. Naldi. - (2017 Jul 20).
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.
Tipologia IRIS:
24 - Pre-print
Keywords:
nonlocal operators; nonlinear diffusion; feature extraction; signal processing
Elenco autori:
G. Aletti, M. Moroni, G. Naldi
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