Image enhancement based on fractional calculus and genetic algorithm

Abstract

Image enhancement is an interesting topic in the image processing area. In this work, image enhancement with fractional-order derivative and genetic algorithm is proposed. Fractional-order derivative possesses a non-local property, which is helpful to find the fine edges of the image. In this paper, firstly, fractional-order partial differences are computed in forward x-direction, backward x-direction, forward y-direction, and backward y-direction. These differences are represented based on discrete Fourier transform (DFT). Finally, genetic algorithm (GA) is applied for the fractional-order selection to get optimum results and the fractional-order is chosen in the range from 0 to 1. The experimental results give the superiority of the proposed algorithm than the traditional methods.