Fractional Fourier Transform-Based Color Image Encryption Algorithm

This document introduces a color image encryption algorithm based on the Fractional Fourier Transform (FrFT), designed specifically for digital image protection. The algorithm operates by applying FrFT to color images in multiple channels (typically RGB), where each color component undergoes fractional Fourier transformation using specific fractional orders that serve as encryption keys. The transformation scrambles both spatial and frequency domain information, providing dual-domain security. This method ensures image confidentiality by allowing only authorized users with correct fractional order keys to decrypt and view the original content. The implementation typically involves separating RGB channels, performing FrFT on each channel with predetermined orders, and recombining the transformed components. For decryption, inverse FrFT with matching orders reconstructs the original image. The algorithm provides enhanced security during network transmission, storage, and sharing of color images while maintaining computational efficiency. Its key advantage lies in fast processing speeds, enabling rapid encryption/decryption of large color image datasets. Code implementation often utilizes optimized FrFT calculations through discrete fractional Fourier transform algorithms with matrix operations. This encryption approach effectively safeguards personal privacy, commercial secrets, and sensitive visual information. Through this technical overview, users can better understand and apply FrFT-based encryption's significance in digital image security systems.