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基于BSVD分解和Radon变换的NSCT域鲁棒水印算法
陈青, 卜莹, 李伟
上海理工大学,上海 200125
摘要:目的 为了提高水印算法的不可见性及抗旋转攻击的能力,提出一种基于BSVD分解和Radon变换的NSCT域鲁棒水印算法。方法 首先对水印图像进行Arnold变换,然后对载体图像进行NSCT变换,接着对低频子带进行不重叠分块,最后对各子块进行BSVD分解,选择合适的缩放因子,将水印嵌入奇异矩阵的最大奇异值中。提取水印时,先用Radon变换对含水印信息的载体图像进行校正,再提取出水印信息。结果 实验显示,文中算法具有很好的不可见性,PSNR值均在60 dB之上,并且能够抵抗常规信号的攻击,NC值均大于0.95。结论 该水印算法具有良好的不可见性和鲁棒性,抵抗旋转攻击的能力较强。
关键词:  NSCT变换  BSVD分解  Radon变换  几何校正
DOI:10.19554/j.cnki.1001-3563.2019.13.034
分类号:TP391
基金项目:国家高技术研究发展计划(863计划)(2012AA050206);上海自然科学基金(12ZR1420800);上海理工大学国家级项目培育基金(16HJPY-MS06)
Robust Watermarking Algorithm in NSCT Domain Based on BSVD Decomposition and Radon Transform
CHEN Qing, BU Ying, LI Wei
University of Shanghai for Science and Technology, Shanghai 200125, China
Abstract:The paper aims to propose a robust watermarking algorithm based on BSVD decomposition and Radon transform to improve the imperceptibility of watermarking algorithm and the ability of anti-rotation attack. First, the watermarking image was transformed by Arnold transform, then the host image was transformed by NSCT, then the low-frequency sub-block was divided into non-overlapping blocks. Finally, each sub-block was decomposed by BSVD, and the appropriate scaling factor was selected to embed the watermarking into the maximum singular value of the singular matrix. When extracting watermarking, Radon transform was used to correct the host image with the watermarking information, and then the watermarking information was extracted. Experiments showed that the proposed algorithm had good imperceptibility; its PSNR values were above 60 dB; it can resist conventional signal attacks; and its NC values were greater than 0.95. The watermarking algorithm has good imperceptibility and robustness, and has strong ability to resist rotation attack.
Key words:  NSCT transform  BSVD decomposition  Radon transform  geometric correction

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