【摘要】 提出一种基于压缩感知的数字图像加密算法.该算法利用随机高斯矩阵和稀疏变换对数字图像进行压缩感知,将数据压缩和加密的过程同时进行,并利用Sigmoid函数将加密数据的范围缩小到0~255之间,存储成8位二进制数据,从而进一步减少传输数据量,避免加密数据膨胀.其中,Sigmoid函数的参数与加密图像数据特点密切相关,根据不同加密图像自适应产生.试验结果表明,文中算法在增加密钥敏感度,减少密文数据量,增强高斯噪声抗击性能上具有一定的优势.更多还原

【Abstract】 This paper proposes a digital image encryption method based on the theory of compressive sensing.By using the compressive sensing algorithm based on the Gaussian random matrix and the sparse transform,the digital image is compressed and encrypted simultaneously.On this basis, Sigmoid function is used to reduce the encrypted data ranging between 0and 255.Then,8bits per number is used to store data and to avoid data expansion.Besides,the parameters of Sigmoid function are generated adaptively based on the encryption image.Experiments show that the method has following features:increasing key sensitivity,lowering cryptograph volume,and increasing resistance to Gaussian noise.更多还原