A denoising model based on the fractional Beltrami regularization and its numerical solution

Anisotropic equation based on fractional diffusion tensor for image noise removal

“…One of our contribution in this paper is to reduce this drawback. To remedy this problem, we propose a new edge detector based on the fractional derivative [2,17,[22][23][24][25]. This latter model proves to be a potent tool, particularly when modeling nonlinear phenomena.…”

“…Image processing is a method that aims to improve the image quality, to get an enhanced image or to extract some useful information from it, in order to adjust the obtained image for further processing or analysis. Image processing has many domains such as image denoising [1–5] (which is the main work in our paper), image super‐resolution [6–8], image recognition [9], image encryption [10, 11], image reconstruction [12]. For image denoising, it can be reformulated mathematically, by finding an approximation of $$$$ {u}_0=u+\mu, $$$$ where $$$ u $$$ is the original image from a degraded or noisy image $$$ u $$$, and $$$ \mu $$$ is the Gaussian noise.…”