Non-Additive Cost Functions for JPEG Steganography Based on Block Boundary Maintenance

Recent advances show that a reasonable non-additive cost function can significantly improve the security level of additive cost based steganography. So far, there is only one principle, called block boundary continuity (BBC), that has been proposed to define the non-additive cost function for JPEG steganography, and it aims at synchronizing the modification direction of inter-block boundaries in the spatial domain. In this article, we found that JPEG steganography usually introduces more and larger modifications on the boundary than on the inside of each intra-block in the spatial domain, which is another important factor affecting security. Therefore, we present a new principle, called block boundary maintenance (BBM), to minimize the modifications on the spatial block boundaries. In theory, we deduce the BBM principle on how to modify a pair of DCT coefficients of the intra-block to reduce the modifications on the spatial block boundary. According to the BBM principle, we design a new strategy to define non-additive cost functions for JPEG steganography by exploiting the coefficient correlation of the intra-block in the DCT domain. The experimental results show that the BBM-based strategy can minimize modifications on the spatial block boundaries and thus achieve a high-security level when resisting modern JPEG steganalysis. Furthermore, the two principles of BBC and BBM can be fused to further improve the empirical security.