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A blind dual color images watermarking based on quaternion singular value decomposition

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Abstract

With the rapid development of the Internet, the color digital image copyright protection is facing severe challenges. Simultaneously, the color digital images are often attacked by a variety of attacks. For protecting the copyright of the color image, this paper proposes a blind color image watermarking algorithm based on Quaternion Singular Value Decomposition (QSVD). Firstly, the characteristic of quaternion that can make the color image channels associated with each other is applied to this paper for guaranteeing the anti-attack performance. Based on the above strategy, the non-overlapping image blocks are converted into quaternion image blocks. Then, the quaternion image blocks are decomposed by Singular Value Decomposition (SVD) and the diagonal matrix is obtained. Finally, the maximum eigenvalue of the diagonal matrix is quantized to complete the embedding and blind extraction of the color digital watermark. The simulation results show that the algorithm has good imperceptible and strong robustness for conventional and geometric attacks. Compared with other methods considered in this paper, the invisibility and robustness of the proposed method are improved.

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Acknowledgements

The work was supported by the National Natural Science Foundations of China (No. 61771231, 61772253, 61873117, 61872170 and 61803253), the Key Project of Shandong Natural Science Foundation (No. ZR2020KF023) and the Key Research and Development Program of Shandong Province (No. 2019GGX101025).

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Correspondence to Qingtang Su.

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Sun, Y., Su, Q., Wang, H. et al. A blind dual color images watermarking based on quaternion singular value decomposition. Multimed Tools Appl 81, 6091–6113 (2022). https://doi.org/10.1007/s11042-021-11815-x

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