The fractional Laplacian based image inpainting

Image inpainting is the process of repairing damaged or missing areas an image by utilizing information from its surrounding environment. The fractional order operator, which processes details like textures and edges with a finer scale, has demonstrated better outcomes success in processing. This study draws inspiration definition singular integral Laplacian presents two adaptive variational functionals for inpainting, showcasing stable scheme. Moreover, numerical discretisation scheme used derived PDEs was constructed. proposed models can simultaneously restore missing, corrupted, undesirable regions while removing noise. Numerical experiments were conducted to test techniques, accompanied method comparisons.