基于多目标优化的加密图像可逆信息隐藏

针对加密前预留空间（RRBE）嵌入算法需要进行一系列的预处理工作，以及加密后腾出空间（VRAE）嵌入算法嵌入空间较小的缺点，为了在提高嵌入率的同时缩减算法流程和减少工作量，提出一种基于多目标优化的加密图像可逆信息隐藏算法。该算法将RRBE与VRAE中两个具有代表性的算法在同一载体中结合使用，并以信息嵌入量、直接解密图像失真、提取错误率、计算复杂度等性能评价指标作为优化子目标，再利用功效系数法建立模型求解出两种算法应用比例的相对最优解。实验结果表明，所提算法不仅能够降低单独使用RRBE算法的计算复杂度，还能使图像处理用户够根据实际应用场景中不同的需求灵活地分配优化目标，同时也能获得较好的图像质量和令人满意的信息嵌入量。

Reversible data hiding in encrypted image based on multi-objective optimization

Focusing on the issues that the Reserving Room Before Encryption （RRBE） embedding algorithm requires a series of pre-processing work and Vacating Room After Encryption （VRAE） embedding algorithm has less embedding space， an algorithm of reversible data hiding in encrypted image based on multi-objective optimization was proposed to improve the embedding rate as well as reducing the algorithm process and workload. In this algorithm， two representative algorithms in RRBE and VRAE were combined and used in the same carrier， and performance evaluation indicators such as the amount of information embedded， distortion of direct decryption of image， extraction error rate， and computational complexity were formulated as the optimization sub-objectives. Then， the efficiency coefficient method was used to establish a model to solve the relative optimal solution of the application ratio of the two algorithms. Experimental results show that the proposed algorithm reduces the computational complexity of using RRBE algorithm alone， enables image processing users to flexibly allocate optimization objectives according to different needs in actual application scenarios， and at the same time obtains better image quality and a satisfactory amount of information embedding.