图像插值空间完全可逆可分离密文域信息隐藏算法

密文域可逆信息隐藏技术在医学、云服务、军事、商业等众多领域有着广泛应用，针对现有密文域信息隐藏算法的可逆性不能完全保证、嵌入率低、不能完全分离等不足，提出一种完全可逆可分离密文域信息隐藏算法，首先，给出了适合图像加密遍历矩阵所需满足的条件和构造方法，载体图像拥有者设置密钥1构造遍历矩阵，并对明文图像进行加密，然后将加密图像传送给信息嵌入者，信息嵌入者设置密钥2，以期望插值为目标，根据插值区间大小确定嵌入位数，再由差值修正因子和秘密信息共同确定最终插值，使最终插值最大限度接近期望插值，确保载密图像高质量，整个过程无附加信息、无数据溢出、且均可保证可逆性，密钥1拥有者和密钥2拥有者两种权限互不干涉，是完全可逆可分离算法，平均嵌入率可达到3 bit/pixel，通过与8种优秀算法的实验比较，表明算法在嵌入容量、可逆性、可分离性率等方面相比于对比算法均有一定优势.

A Separable and Reversible Data Hiding Algorithm in Encrypted Domain Based on Image Interpolation Space

Reversible steganography in encrypted domain is widely used in medical,cloud services,military,commercial and other fields.Aiming at the problems of encrypted domain information hiding algorithm,such as incomplete guarantee of reversibility,low embedding rate and incomplete separation,this paper proposed a separable and reversible steganography in encrypted domain.Firstly,the conditions and construction methods for the ergodic matrix of image encryption are given.The carrier image owner sets the key1 to construct the ergodic matrix and encrypts the plaintext image,the information embedder sets the key2,in order to achieve the goal of expectation interpolation,the number of embedding bits is determined according to the size of interpolation interval,and then the final interpolation is determined by the difference correction factor and secret information together,so that the final interpolation is close to the expectation interpolation to the maximum extent,ensuring the high quality of the encrypted image.There is no additional information,no data overflow and reversibility is guaranteed in the whole process,the two permissions do not interfere with each other,and the algorithm is completely reversible and separable,and the average embedding rate can reach 3 bit/pixel.The experimental results show that the algorithm is better than the other eight excellent algorithms in terms of embedding capacity,reversibility and separability.