目的 为防范数字图像遭遇侵权、盗版及恶意篡改,保障产品包装盒图像的安全可靠性,构建有效的版权保护与内容认证机制。方法 提出一种基于分数阶四元数傅里叶变换（FrQFT）的彩色图像鲁棒数字水印算法,首先对彩色载体图像执行FrQFT变换,将其转换至变换域,随后通过修改图像分块的FrQFT系数,完成水印信息的隐蔽嵌入。结果 实验结果表明,所提算法具备显著优越性,在多种攻击测试中表现稳定,其中抗JPEG压缩能力尤为突出,水印提取准确率高。结论 该算法通过全局误差扩散机制,实现了不可感知性与鲁棒性的高效平衡,同时,FrQFT兼具空频域特征的独特优势,使其较传统单一域算法在应用场景适配与性能优化上更具灵活性。
Abstract
The work aims to address the issues of infringement, piracy and malicious tampering faced by digital images, to ensure the security and reliability of product packaging box images, and construct a rigorous and effective mechanism for copyright protection and content authentication. A robust digital watermarking algorithm for color images based on Fractional Quaternion Fourier Transform (FrQFT) was proposed. Firstly, the color carrier image was transformed into the transform domain via FrQFT. Subsequently, the watermark information was embedded invisibly by modifying the FrQFT coefficients of image blocks. Experimental validation results demonstrated that the proposed algorithm exhibited significant superiority and maintained stable performance under various attack scenarios. Notably, it showed exceptional robustness against JPEG compression attacks, with a high accuracy rate in watermark extraction. The algorithm realized an efficient balance between imperceptibility and robustness through a global error diffusion mechanism. Furthermore, the FrQFT possesses the distinctive characteristic of integrating both spatial and frequency domain features, which enables the algorithm to achieve higher flexibility in adapting to application scenarios and optimizing performance compared with conventional single-domain algorithms.
关键词
数字水印 /
分数阶四元数傅里叶变换 /
彩色包装图像 /
四元数傅里叶变换 /
分数傅里叶变换
Key words
digital watermark /
FrQFT /
colorful packaging image /
Quaternion Fourier Transform /
Fractional Fourier Transform
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基金
国家自然科学基金面上项目（52375270）
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