简牍图像水印是简牍图像数据的版权保护、篡改检测和完整性保护的关键技术，然而，目前大多的图像水印密钥缺乏权威机构监管，在感知透明性与安全性之间未能实现良好的平衡。以甘肃简牍博物馆提供的简牍数字图像为研究对象提出基于差分中值定理的可逆隐藏简牍图像水印算法，水印密钥由权威部门和竹简部门结合生成，针对简牍图像出土后纹理及颜色分布不均的特点，嵌入过程基于差分中值定理向简牍图像RGB三通道中嵌入拆分后不同的水印密钥信息，并在最低有效位LSB替换时，利用Logistic映射进行置乱，进一步提高水印密钥信息的安全性与感知透明性。实验结果表明，所提算法嵌入的水印具有较好的不可见性，且算法对被攻击图像的篡改部分具有很高的定位精度。

Bamboo slips image watermarking is a key technology for copyright protection, tampering detection and integrity protection of image data. However, most of the image watermarking keys currently lack the supervision of authoritative institutions, which fails to achieve a good balance between perceived transparency and security. This paper takes the digital images of bamboo slips provided by Gansu Bamboo Slips Museum as the research object, and proposes a reversible hiding watermarking algorithm based on the mean value theorem of divided difference. The watermark key is generated by the combination of the authority department and the department of bamboo slips. In view of the uneven distribution of texture and color of bamboo slips after excavation, different watermark key information after splitting is embedded into the RGB three-channel of bamboo Slips image based on the mean value theorem of divided difference. When the least significant bit (LSB) is replaced, the security and perception transparency of the watermark key information are further improved by using Logistic mapping. The experimental results show that the watermark embedded by the proposed algorithm has good invisibility, and the algorithm has high positioning accuracy for tampered positions of the attacked image.