arXiv:2510.27307eess.IVcs.CV2025-10

用双四元数矩阵分解实现医疗图像脆弱零水印,防篡改且不修改原图。

A fragile zero-watermarking method based on dual quaternion matrix decomposition

  • 基于双四元数的实部与虚部关系关联图像与水印。
  • 通过矩阵分解提取不可见水印信息,实现版权保护。
  • 适合医疗图像共享场景,可检测微小篡改痕迹。

医学影像在辅助诊断、远程会诊和学术研究中至关重要,但在传输与共享过程中面临严重的版权归属与内容篡改风险。因此,保护医学影像具有重要意义。作为有效的图像版权保护手段,零水印技术通过提取原始载体的稳定特征来构建水印,而无需修改原始图像,为医学影像保护提供了理想方案。本文提出一种基于双四元数矩阵分解的脆弱零水印模型,利用双四元数实部与虚部之间的运算关系,将原始图像与水印图像相关联,并基于双四元数矩阵分解特性生成零水印信息,最终实现对医学图像的版权保护与内容篡改检测。

原文摘要 · Abstract (English)

Medical images play a crucial role in assisting diagnosis, remote consultation, and academic research. However, during the transmission and sharing process, they face serious risks of copyright ownership and content tampering. Therefore, protecting medical images is of great importance. As an effective means of image copyright protection, zero-watermarking technology focuses on constructing watermarks without modifying the original carrier by extracting its stable features, which provides an ideal approach for protecting medical images. This paper aims to propose a fragile zero-watermarking model based on dual quaternion matrix decomposition, which utilizes the operational relationship between the standard part and the dual part of dual quaternions to correlate the original carrier image with the watermark image, and generates zero-watermarking information based on the characteristics of dual quaternion matrix decomposition, ultimately achieving copyright protection and content tampering detection for medical images.

图像水印医疗影像零水印双四元数

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