Weng Chi-Yao, Yang Cheng-Hsing
Department of Computer Science and Artificial Intelligence, National Pingtung University, Pingtung 900, Taiwan.
Entropy (Basel). 2023 Jan 21;25(2):209. doi: 10.3390/e25020209.
Reversible Data Hiding in Encrypted Image (RDHEI) is a technology for embedding secret information in an encrypted image. It allows the extraction of secret information and lossless decryption and the reconstruction of the original image. This paper proposes an RDHEI technique based on Shamir's Secret Sharing technique and multi-project construction technique. Our approach is to let the image owner hide the pixel values in the coefficients of the polynomial by grouping the pixels and constructing a polynomial. Then, we substitute the secret key into the polynomial through Shamir's Secret Sharing technology. It enables the Galois Field calculation to generate the shared pixels. Finally, we divide the shared pixels into 8 bits and allocate them to the pixels of the shared image. Thus, the embedded space is vacated, and the generated shared image is hidden in the secret message. The experimental results demonstrate that our approach has a multi-hider mechanism and each shared image has a fixed embedding rate, which does not decrease as more images are shared. Additionally, the embedding rate is improved compared with the previous approach.
可逆数据隐藏于加密图像（RDHEI）是一种在加密图像中嵌入秘密信息的技术。它允许提取秘密信息并进行无损解密以及重建原始图像。本文提出了一种基于 Shamir 秘密共享技术和多方案构造技术的 RDHEI 技术。我们的方法是让图像所有者通过对像素进行分组并构造一个多项式，将像素值隐藏在多项式的系数中。然后，我们通过 Shamir 秘密共享技术将密钥代入多项式。这使得伽罗瓦域计算能够生成共享像素。最后，我们将共享像素划分为 8 位并将它们分配给共享图像的像素。这样，嵌入空间就被腾空，并且生成的共享图像被隐藏在秘密消息中。实验结果表明，我们的方法具有多隐藏者机制，并且每个共享图像都有固定的嵌入率，该嵌入率不会随着共享图像数量的增加而降低。此外，与先前的方法相比，嵌入率有所提高。
