For the problem of the singular value decomposition(SVD) watermarking algorithm caused high false alarm rate and low robustness, this paper proposed an adaptive zero watermarking algorithm, which was based on block NMF and boost normed singular value decomposition. First, it transformed the original gray image into two levels of DWT transform, then divided after the transformation of the LL2 subbands into non-overlapping blocks, and broke down each sub-block into NMF with rank r, then used boost normed singular value decomposition for eigenmatrix derived from NMF decomposition. According to the relationship between the maximum singular value of each block matrix and the mean value of the global maximum singular value, it constructed feature-vector. Finally, the generated feature vector was xor operation with the random encrypted watermark image of Arnold and the logistic map to generate a zero watermark. The parameter β in the singular value matrix must be determined adaptively by the BAS optimization algorithm, and found out the scaling ratio of the most resistant attack. The experimental results show that, in the false alarm problem, the NC value is below 0.4. Under the condition of JPEG compression, noise, filtering, rotation, shearing and mixed attack, the normalized coefficient NC of the extracted watermark image and the original watermark image can reach more than 99%. The method can solve the false positive errors efficiently and has strong robustness. It can resist all kinds of attacks effectively.

[2020-04-05] Printed Article /doc/2018.09.0751/v2