Secret Image Sharing (SIS) as a secure data sharing scheme in multiple cover images, has become an increasing researchers' concern. In traditional SIS, the cover image can't be recovered losslessly. The distorted cover images would reduce the practicability of the scheme, especially in medical and military images. The lossless recovery of cover images is required since all details of these images are very critical. In current Invertible SIS (ISIS), the secret image and the cover image may not be reconstructed losslessly. In addition, the authentication capability, visual quality of the stego cover image and embedding rate are limited in spatial domain-based ISIS. As an important carrier, the binary cover image is desired in real applications. Therefore, this paper proposes Transform domain-based Invertible and Lossless Secret Image Sharing schemes with Authentication (T-ILSISA), namely Integer Wavelet Transform-based ILSISA (IWT-ILSISA) and Binarization Transform-based ILSISA (BT-ILSISA) respectively. In (k,n) threshold IWT-ILSISA, the pixels of secret image and the data of cover image are regarded as the coefficients of the (k-1) degree polynomial. The values of generated share are embedded into IWT domain of the cover image. In BT-ILSISA, many different cover images are applied. The generated shares are transformed to the meaningful images since noise-like shares are easy to attract the attacker's attention, are suspected to censors and are difficult for identification and management. In the two schemes, the original secret image and the cover image can be recovered losslessly. The experimental results and theoretical analysis demonstrate that the performances of IWT-ILSISA are better than other similar schemes in the terms of embedding capacity, authentication capability and visual quality of the stego cover image. The BT-ILSISA has a lower computational complexity of the recovery.

中文翻译：

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通过身份验证转变基于域的可逆和无损秘密图像共享


秘密图像共享（SIS）作为一种多封面图像的安全数据共享方案，已越来越受到研究人员的关注。传统SIS中，封面图像无法无损恢复。扭曲的封面图像会降低该方案的实用性，特别是在医学和军事图像中。由于这些图像的所有细节都非常关键，因此需要对封面图像进行无损恢复。在当前的可逆SIS（ISIS）中，秘密图像和封面图像可能无法无损地重建。此外，基于空间域的 ISIS 的身份验证能力、隐秘封面图像的视觉质量和嵌入率都受到限制。二值化封面图像作为一种重要的载体，在实际应用中是非常需要的。因此，本文提出基于变换域的可逆无损秘密图像认证共享方案（T-ILSISA），分别为基于整数小波变换的ILSISA（IWT-ILSISA）和基于二值化变换的ILSISA（BT-ILSISA）。在(k,n)阈值IWT-ILSISA中，秘密图像的像素和覆盖图像的数据被视为(k-1)次多项式的系数。生成的份额值嵌入到封面图像的 IWT 域中。在 BT-ILSISA 中，应用了许多不同的封面图像。由于类噪声的共享容易引起攻击者的注意、容易被审查、难以识别和管理，因此将生成的共享转换为有意义的图像。两种方案均可以无损恢复原始秘密图像和封面图像。 实验结果和理论分析表明，IWT-ILSISA在嵌入容量、认证能力和隐秘封面图像的视觉质量方面的性能优于其他类似方案。 BT-ILSISA 的恢复计算复杂度较低。