测绘通报 ›› 2026, Vol. 0 ›› Issue (7): 82-87,117.doi: 10.13474/j.cnki.11-2246.2026.0712

• 学术研究 • 上一篇    下一篇

基于秘密分享与DCT-QIM的遥感影像数据安全多方水印算法

曹璇1,2,3, 王敏璇1,2,3, 朱长青1,2,3   

  1. 1. 南京师范大学地理科学学院, 江苏 南京 210023;
    2. 虚拟地理环境教育部重点实验室(南京师范大学), 江苏 南京 210023;
    3. 江苏省地理信息资源开发与利用协同创新中心, 江苏 南京 210023
  • 收稿日期:2026-04-29 发布日期:2026-08-15
  • 通讯作者: 王敏璇。E-mail:241302163@njnu.edu.cn
  • 作者简介:曹璇(2005—),女,主要研究方向为地理信息安全。E-mail:3245098466@qq.com
  • 基金资助:
    国家自然科学基金(42571500)

A secure multi-party watermarking algorithm for remote sensing image data based on secret sharing and DCT-QIM

Cao Xuan1,2,3, Wang Minxuan1,2,3, Zhu Changqing1,2,3   

  1. 1. School of Geography, Nanjing Normal University, Nanjing 210023, China;
    2. Key Laboratory of Virtual Geographic Environment (Nanjing Normal University), Ministry of Education, Nanjing 210023, China;
    3. Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing 210023, China
  • Received:2026-04-29 Published:2026-08-15

摘要: [目的] 针对当前多方协作场景中尚缺乏适用于遥感影像数据的稳健水印算法这一问题,本文提出了一种基于秘密分享与DCT-QIM的遥感影像数据安全多方水印算法。[方法] 首先通过分块置乱原始数据,采用加法秘密分享将影像分割为多个加密份额,并分发给不同的协作方;然后各协作方在离散余弦变换域中对各自持有的份额独立执行量化索引调制水印嵌入;最后收集所有含水印的份额,通过加法重构得到含水印影像。[结果] 试验结果表明,嵌入水印后影像的峰值信噪比达50.126 dB,结构相似性指数为0.999,水印嵌入对影像视觉质量的影响极小。在面对裁剪、旋转、高斯噪声及JPEG压缩等多种攻击时,水印信息均能被成功提取,具有良好的稳健性。此外,某一方持有不完整的份额不能恢复原始影像的任何有效信息,也防止单方私下验证、篡改、伪造水印凭证,从而有效保障了多方协作过程中的数据隐私安全。[结论] 本文算法能够在保护遥感影像数据隐私的前提下,实现安全的多方水印协同嵌入,为遥感影像数据多方协作场景下的版权保护提供技术支撑。

关键词: 遥感影像, 数字水印, 秘密分享, 离散余弦变换, 量化索引调制

Abstract: [Purposes] Addressing the current lack of robust watermarking algorithms suitable for remote sensing image data in multi-party collaboration scenarios,this paper proposes a secure multi-party watermarking algorithm for remote sensing image data based on secret sharing and DCT-QIM. [Methods] The algorithm first scrambles the original data in blocks,then uses additive secret sharing to divide the image into multiple encrypted shares,which are distributed to different collaborating parties.Each collaborator independently performs quantization index modulation watermark embedding on their respective shares in the discrete cosine transform domain.After collecting all watermarked shares,the watermarked image is reconstructed through additive reconstruction. [Findings] Experimental results show that the peak signal-to-noise ratio of the watermarked image reaches 50.126 dB and the structural similarity index is 0.999,indicating minimal impact on visual quality.The embedded watermark can be successfully extracted under various attacks,including cropping,rotation,Gaussian noise,and JPEG compression,demonstrating strong robustness.Furthermore,incomplete shares held by any single party cannot reveal any meaningful information about the original image,and such incomplete shares also prevent any individual party from privately verifying,tampering with,or forging watermark credentials,thereby effectively ensuring data privacy and security throughout the multi-party collaboration process. [Conclusions] The proposed algorithm enables secure collaborative multi-party watermark embedding while preserving the privacy of remote sensing image data,providing technical support for copyright protection in multi-party collaboration scenarios involving remote sensing image data.

Key words: remote sensing image, digital watermark, secret sharing, discrete cosine transform, quantized index modulation

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