Digital image sharpening using fractional derivative and mach band effect

In this paper, a new digital image sharpening method is presented by using fractional derivative and Mach band effect. First, fractional order digital differentiator is designed by using the Grünwald-Letnikov derivative. Next, the Mach band effect and fractional order digital differentiator are used to construct an image sharpening algorithm. Finally, the numerical examples are shown to demonstrate the effectiveness of the proposed method.