Due to the rapid growth of multimedia transmission over the internet, the challenges of image security have become an important research topic. In this paper, an Adaptive Multiband Signal Decomposition (AMSD) is proposed and its application for image encryption is explored. Like the conventional multiband wavelet transform, the AMSD can decompose the original image into multiband subimages. The perfect reconstruction of the original image from the decomposed multibands is achieved. In addition, a novel image encryption algorithm based on the adaptive multiband image decomposition with three dimensional discrete chaotic maps is developed and its performance is evaluated using common security analysis methods. Simulation results show that the proposed encryption algorithm has great degree of security and can resist various typical attacks.

由于因特网上多媒体传输的迅速增长，图像安全的挑战已成为重要的研究课题。本文提出了一种自适应多频带信号分解（AMSD）技术，并探讨了其在图像加密中的应用。像传统的多波段小波变换一样，AMSD可以将原始图像分解为多波段子图像。从分解的多频带中可以完美地重建原始图像。此外，提出了一种基于自适应离散多维度图像分解的三维离散混沌映射图像加密算法，并通过常用的安全性分析方法对其性能进行了评估。仿真结果表明，所提出的加密算法具有较高的安全性，可以抵抗各种典型的攻击。