Caputo and Caputo-Fabrizio fractional differential masks for images enhancement

Image enhancement is one of the most important tasks in the field of image processing. With the help of computer and programming languages many mathematical methods have been implemented to improve the visual quality of an image. One of the most effective methods for this purpose is the histogram equalization. The construction of fractional differential masks for images enhancement has also been proposed. In this paper, we propose a new way of construction of fractional differential mask based on the Caputo and Caputo-Fabrizio derivatives. The effectiveness of the proposed methods have been compared with the histogram equalization method and the multiplication of each pixel of an image by a constant. The experiments results have shown superiority of the proposed methods, with better visual quality and higher gray-level co-occurrence matrix values in four directions.