Non-Additive Cost Functions for Color Image Steganography Based on Inter-Channel Correlations and Differences

Despite the strong presence of color images for communication, scholars have mainly devoted their attention to research on steganography for grayscale images. In contrast to grayscale images, color images have three interrelated color channels, and the relationships among the three channels have a strong impact on the steganography security. In this paper, we present a steganographic scheme for spatial color images by exploiting the correlations and differences between the color channels. We find that the G channel has a stronger correlation with R and B than the one between R and B, and thus, synchronizing the modification directions of the R and B channels with those from the G channel will have better resistance to detection. In addition, the payload capacity and the distribution of complex regions between channels are different. Based on these findings, we design a new strategy for defining non-additive costs for color image steganography, called G-channel-related Inter-channel Non-Additive (GINA) strategy. The GINA strategy can make the modification directions of the R and B channels consistent with those of the G channel and can adaptively distribute the embedding capacity between the three channels. Specifically, this strategy will not violate the Complexity Prior rule. The experimental results show that the proposed GINA strategy can significantly improve the performance in terms of resisting color image steganalysis compared with previous methods.