基于改进的一维混沌映射和位平面的图像加密算法

A Novel Bit-Level Image Encryption Algorithm Based on Improved 1D Chaotic Maps

本文提出一种基于位平面的一维混沌映射的图像加密算法,首先,对常见映射进行性能分析,指出其不足,通过在一维映射的基础上提出新的混沌映射,对其进行改进,改进后的映射在Lyapunov指数、分岔图上均表现出良好的随机性,并扩大了其混沌范围,然后,利用新的混沌映射设计了一种灰度图像加密算法,在置乱阶段采用位平面置乱,扩散阶段则在像素平面扩散,最后对本文提出的加密算法进行了相关的性能分析,如密钥分析、敏感性分析、统计分析等等,基于所有仿真实验分析,本文所提出的算法,在数字图像加密中具有较好的性能。

This paper presents a novel bit-level image encryption algorithm based on improved one-dimen- sional chaotic maps. Firstly, we improve some typical 1D chaotic maps. Simulations and perfor-mance evaluations show that the improved chaotic maps own better chaotic performances and larger chaotic ranges compared with the conventional chaotic maps. Then, a novel bit-level image encryption algorithm is designed using the improved chaotic systems. Bit-level shuffling is adopted at the stage of scrambling and pixel-level bitxor operation is performed at the diffusion phase. The simulation results and performance analysis show that the proposed image encryption algorithm is both secure and reliable for image encryption.