Utilizing reverse genetic algorithms and fractal theory for encrypting images

Many digital services require a reliable security for saving and sending images. Security of images has attracted the attention of many because of the rapid growth of the Internet in today's digital world. In this study a new combined model of encrypting images was used that is made of genetic algorithm and Mandelbrot algorithm. In the early proposed stages, by combining original image with built Mandelbrot algorithm a number of encrypted images were created and these images were used as initial population for the genetic algorithm in following stages. At each stage of the genetic algorithm the response of the previous iteration was optimized until we reach the best encrypted image. Also in our proposed method we can reach to the encrypted image from a reverse operation of genetic algorithm. The best encrypted image is an image with high entropy and low correlation coefficient. Considering the entropy and correlation coefficient that is obtained from our proposed method compared to other methods, our method had better results.