【摘要】 为了更准确地反映隐写对载体高阶统计特性的影响,文章提出数字图像隐写高阶Markov链统计分布模型.通过对几种常用图像扫描方法构成高阶Markov链模型效果的比较,采用Hilbert扫描方式构建数字图像n阶Markov链模型,进而研究隐写对该模型经验矩阵的影响,提出评估数字图像隐写统计安全性的n阶Markov链模型统计测度,并证明其有界且在特定情况下与ε-secure安全性指标等价.实验说明了文章所提模型经验矩阵在隐写前后的改变情况,与ε-secure安全性指标和图像Markov链模型统计分布测度相比,所提模型统计分布测度对隐写引起载体高阶统计分布改变的反映更为充分.更多还原

【Abstract】 In order to re?ect more accurately the effect of steganography on the high-order statistical characteristics of cover image,a high-order Markov chain statistical model for digital image steganography is proposed.After a comparison of the results of high-order Markov chain model constructed by several common image scanning methods,an n-order Markov chain model for digital image steganography using Hilbert scanning method is adopted.Then the effect of steganography on empirical matrix of the proposed model is studied,a statistical measure for n-order Markov chain model to evaluate the statistical security of digital image steganography is proposed,and the boundedness and equivalence to ε-secure criterion in the given conditions of this measure are proved.Experiments show the changes of empirical matrix of the proposed model in cover and stego images,and comparing with ε-secure criterion and the statistical measure of Markov chain model,the changes of cover-image’s high-order statistical distribution caused by steganography are re?ected more adequately in the statistical measure of the proposed model.更多还原