• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

计算机工程与科学 ›› 2026, Vol. 48 ›› Issue (4): 650-658.

• 计算机网络与信息安全 • 上一篇    下一篇

基于差分中值定理的可逆隐藏简牍图像水印算法

刘雪艳,李喜良,齐钰娇,贾博龙   

  1. (西北师范大学人工智能与计算机学院(软件学院),甘肃 兰州 730070)

  • 收稿日期:2024-07-19 修回日期:2024-11-27 出版日期:2026-04-25 发布日期:2026-04-30
  • 基金资助:
    国家自然科学基金(62262060,61662071);甘肃科技计划(22JR5RA158);甘肃省教育厅产业支撑计划(2022CYZC-17)

A reversible hidden bamboo slips image watermarking algorithm  based on mean value theorem of divided difference

LIU Xueyan,LI Xiliang,QI Yujiao,JIA Bolong   

  1. (College of Artificial Intelligence and Computer Science,Northwest Normal  University,Lanzhou 730070,China) 
  • Received:2024-07-19 Revised:2024-11-27 Online:2026-04-25 Published:2026-04-30

摘要: 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。


关键词: 简牍图像, Logistic映射, 差分中值定理, 最低有效位

Abstract: 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.

Key words: bamboo slips image, Logistic mapping, mean value theorem of divided difference, least significant bit