The Impact of the Type of Fractional Schemes on Image Denoising Algorithms in the Fourier Domain
Milorad P. Paskaš · 2023
Fractional anisotropic diffusion in the Fourier domain is a widely accepted model in image denoising. This paper advocates a modification of the classical model regarding the differential operator where central fractional differences on the integer mesh grid are implemented. Convergence analysis of the proposed model allows lower time step, thus requiring less computation time. Numerical experiments conducted with two objective measures are promising especially with respect to lower orders of differentiation. For higher orders results are comparable with classical model, while computation time is significantly reduced.