An algorithm for the treatment of images affected by both blurring and salt&pepper noise is proposed with a cost only proportional to the number of pixels. The methodology uses an ad-hoc discretization scheme for the Laplace operator, multiplied by a suitable nonlinear term depending on the gradient. Even if this approach resembles a diffusion type algorithm, only one step of the procedure is in general needed, leading to significant time savings. The procedure is successfully tested on some standard black&white images.
Low-cost denoising and deblurring using a novel nonlinear diffusion technique / Funaro, Daniele; Fatone, Lorella. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - 461:(2025), pp. 116423-116423. [10.1016/j.cam.2024.116423]
Low-cost denoising and deblurring using a novel nonlinear diffusion technique
Daniele Funaro;
2025
Abstract
An algorithm for the treatment of images affected by both blurring and salt&pepper noise is proposed with a cost only proportional to the number of pixels. The methodology uses an ad-hoc discretization scheme for the Laplace operator, multiplied by a suitable nonlinear term depending on the gradient. Even if this approach resembles a diffusion type algorithm, only one step of the procedure is in general needed, leading to significant time savings. The procedure is successfully tested on some standard black&white images.
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