A Hybrid Image Denoising Method Based on Integer and Fractional-Order Total Variation

This paper introduces a new hybrid fractional model for image denoising. This proposed model is a combination of two models Rudin-Osher-Fatemi and fractional-order total variation. We try to use the advantages of two mentioned models. In this regard, after introducing an appropriate norm space, we prove the existence and uniqueness of the presented model. Furthermore, finite difference method is employed for numerically solving the obtained equation. Finally, the results illustrate the efficiency of the proposed model that yields good visual effects and a better signal-to-noise ratio.