Department of Electronic Engineering, Tsinghua University, Beijing 100084, China.
Department of Electronic Engineering, National Quemoy University, Kinmen 89250, Taiwan.
Sensors (Basel). 2020 Jul 7;20(13):3802. doi: 10.3390/s20133802.
Secret image sharing is a technique for sharing a secret message in such a fashion that stego image shadows are generated and distributed to individual participants. Without the complete set of shadows shared among all participants, the secret could not be deciphered. This technique may serve as a crucial means for protecting private data in massive Internet of things applications. This can be realized by distributing the stego image shadows to different devices on the Internet so that only the ones who are authorized to access these devices can extract the secret message. In this paper, we proposed a secret image sharing scheme based on a novel maze matrix. A pair of image shadows were produced by hiding secret data into two distinct cover images under the guidance of the maze matrix. A two-layered cheat detection mechanism was devised based on the special characteristics of the proposed maze matrix. In addition to the conventional joint cheating detection, the proposed scheme was able to identify the tampered shadow presented by a cheater without the information from other shadows. Furthermore, in order to improve time efficiency, we derived a pair of Lagrange polynomials to compute the exact pixel values of the shadow images instead of resorting to time-consuming and computationally expensive conventional searching strategies. Experimental results demonstrated the effectiveness and efficiency of the proposed secret sharing scheme and cheat detection mechanism.
秘密图像共享是一种在生成和分发隐藏图像阴影给各个参与者的方式来共享秘密消息的技术。没有所有参与者共享的完整阴影集，秘密就无法被解密。这项技术可以作为保护大规模物联网应用中私人数据的重要手段。这可以通过将隐藏图像阴影分发给互联网上的不同设备来实现，只有授权访问这些设备的人才能提取秘密消息。在本文中，我们提出了一种基于新型迷宫矩阵的秘密图像共享方案。在迷宫矩阵的指导下，通过将秘密数据隐藏到两个不同的掩蔽图像中来生成一对图像阴影。基于提出的迷宫矩阵的特殊特征，设计了一种两层欺骗检测机制。除了传统的联合欺骗检测外，该方案还能够在没有其他阴影信息的情况下识别欺骗者提供的篡改阴影。此外，为了提高时间效率，我们推导出了一对拉格朗日多项式来计算阴影图像的确切像素值，而不是采用耗时且计算密集的传统搜索策略。实验结果证明了所提出的秘密共享方案和欺骗检测机制的有效性和效率。
