基于迭代复数模型的多图像无损同步加密算法研究  

The Study on Synchronous Lossless Encryption Algorithm for Multi-image Based on Iteration Plural Model

作　　者：张红梅[1] 张智高[2] 裴志利[1] 

机构地区：[1]内蒙古民族大学计算机科学与技术学院,通辽028000 [2]内蒙古民族大学数学学院,通辽028000

出　　处：《科学技术与工程》2014年第26期123-130,共8页Science Technology and Engineering

基　　金：国家自然科学基金资助项目(61163034;61373067);内蒙古自治区"草原英才工程"(2013);内蒙古自治区"青年科技领军人才"(NJYT-14 A09);内蒙古自然科学基金资助项目(2013MS0911);内蒙古自治区"321人才工程"二层次人选(2010);内蒙古人才开发基金(2011);内蒙古民族大学科学研究项目(NMD1231)资助

摘　　要：当前的多图像加密算法都是将多个明文压缩成一幅图像,再进行加密;但压缩易产生块效应。对此,避开压缩,设计图像复数模型,将多个明文以复数形式叠加成复合图像,提出了基于迭代复数模型的多图像无损加密算法。引入DCT(discrete cosine transform)与ZigZag扫描,将多个明文演变为矩阵;设计迭代图像复数模型,将多个矩阵转变成一个复数矩阵,形成实部与虚部;借助Tent混沌映射扰乱复数矩阵的实部与虚部;通过IDCT(inverse discrete cosine transform)机制,形成复合置乱图像;再结合优化序列,构造加密函数,对复合置乱图像进行扩散。通过提取复数矩阵的实部与虚部,即可得到解密图像,彻底消除了失真现象。仿真结果显示:该加密机制高度安全,密文实部与虚部截然不同;且与当前多图像加密机制相比,算法几乎无失真,解密质量更高,显著消除了块效应。The current multi-image eneryption algorithms were compressing several images into single image for encryption; hut the block effects and crosstalk effects were induced to cause serious distortion of ciphertexl by multi-image compressing. So avoiding compression, the image plural model was designed to form the composite im age Dy the superposilion of plural mode, and the synchronous lossless eneryption algorithm for multi-Image based on iteration plural model. The DCT （discrete cosine transform） and Zigzag scanning to transform multiple images into matrixes; anti taking these matrixes into composite matrix for producing the real and imaginary parts by using the ileration image plural model ; the position between real and imaginary parts of plural matrix were permutated t）y Tent map. Then the composile permutation image was formed hy the IDCT （inverse discrete cosine transform）. Finally, lhe double enerypt fimction was constructed with chaos phase mask to diffusion composite permutation image. The decryption image was obtained hy extracting real and imaginary parts of plural matrix to completely eliminate the dislnrtion. Experiment results were showed that this encryption algorithm was highly secure with excellent quality ; cmnpared with cmxent multi-image eneryption algorithm, the deeryption quality of the algorithmas highest to efectively eliminate the block effects.

关 键 词：多图像无损 加密迭代 复数模型 复数矩阵 实部与虚部 优化序列 块效应 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]