Enhancing Image Security: A Hybrid Encryption Approach Incorporating Bogdanov and Duffing Maps with DWT

Abstract

In this study, a novel and robust double image encryption method is introduced by combining the Bogdanov map and the Duffing map chaotic algorithms for image encryption, ensuring both copyright protection and image integrity. This approach also incorporates image watermarking techniques using two distinct images, a message image and a cover image of varying sizes. The message image is initially encrypted using a double encryption method, and at the receiver’s end, double decryption is applied to recover the original message while removing the watermarking component. By leveraging a discrete wavelet transform (DWT), the message image is merged with the cover image to create a watermark image, enhancing security and unpredictability through the utilization of multiple key values.This method also effectively deters potential attackers from recognizing the presence of a message image within a cover image, as it exhibits both a high correlation and entropy value. To assess the image encryption’s effectiveness, various metrics, including NPCR, UACI, MSE, PSNR, entropy, and correlation coefficient, are employed to measure subtle pixel changes