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Modified Zernike Moments and Its Application in Geometrically Resilient Image Zero-Watermarking

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Abstract

Traditional watermarking, which embeds watermark information into images for copyright protection, cannot be effectively used in applications with high integrity requirements such as medical and military images, because watermark embedding will destroy original images. We propose a robust modified Zernike moments (MZMs)-based zero-watermarking algorithm for image copyright protection without changing the original image. In this paper, a new type of radial basis function of Zernike moments (ZMs) is designed, and based on this, MZMs are constructed, which effectively improves the performance of ZMs. Then a robust geometric-attack-resistant zero-watermarking algorithm based on MZMs is proposed for image lossless copyright protection. Experimental results demonstrate that our algorithm can effectively resist common image processing attacks and geometric attacks, with superior robustness to other state-of-the-art algorithms.

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References

  1. A. Bobeica, I.C. Dragoi, I. Caciula, D. Coltuc, F. Albu, F. Yang, Capacity Control for Prediction Error Expansion based Audio Reversible Data Hiding. In: 2018 22nd International Conference on System Theory, Control and Computing (ICSTCC), pp. 810–815 (2018).

  2. T.H. Chen, G.B. Horng, W.B. Lee, A publicly verifiable copyright-proving scheme resistant to malicious attacks. IEEE Trans. Ind. Electron. 52(1), 327–334 (2005)

    Article  Google Scholar 

  3. A. Daoui, H. Karmouni, O. El Ogri, M. Sayyouri, H. Qjidaa, Robust image encryption and zero-watermarking scheme using SCA and modified logistic map. Expert Syst. Appl. 190, 116193 (2022)

    Article  Google Scholar 

  4. G. Gao, G. Jiang, Bessel-Fourier moment-based robust image zero-watermarking. Multimed. Tools Appl. 74(3), 841–858 (2015)

    Article  Google Scholar 

  5. X. Kang, F. Zhao, Y. Chen, G. Lin, C. Jing, Combining polar harmonic transforms and 2D compound chaotic map for distinguishable and robust color image zero-watermarking algorithm. J. Vis. Commun. Image Represent. 70, 102804 (2020)

    Article  Google Scholar 

  6. Q. Li, X. Wang, X. Wang, B. Ma, C. Wang, Y. Shi, An encrypted coverless information hiding method based on generative models. Inf. Sci. 553, 19–30 (2021)

    Article  MathSciNet  Google Scholar 

  7. J. Liu, J. Li, K. Zhang, U.A. Bhatti, Y. Ai, Zero-Watermarking algorithm for medical images based on dual-tree complex wavelet transform and discrete cosine transform. J. Med. Imaging Health Inform. 9(1), 188–194 (2019)

    Article  Google Scholar 

  8. J. Liu, J. Li, J. Ma, N. Sadiq, U.A. Bhatti, Y. Ai, A robust multi-watermarking algorithm for medical images based on DTCWT-DCT and Henon map. Appl Sci-Basel. 9(4), 700 (2019)

    Article  Google Scholar 

  9. J. Liu, J. Li, J. Cheng, J. Ma, N. Sadiq, B. Han, Q. Geng, Y. Ai, A novel robust watermarking algorithm for encrypted medical image based on DTCWT-DCT and chaotic map. CMC-Comput. Mat. Contin. 61(2), 889–910 (2019)

    Google Scholar 

  10. X. Liu, B. Chen, G. Coatrieux, H. Shu, Color image zero-watermarking based on SVD and visual cryptography in DWT domain. In: Eighth International Conference on Graphic and Image Processing (ICGIP 2016), pp. 102251N (2016).

  11. X. Liu, G. Han, J. Wu, Z. Shao, G. Coatrieux, H. Shu, Fractional Krawtchouk transform with an application to image watermarking. IEEE Trans. Signal Process. 65(7), 1894–1908 (2017)

    Article  MathSciNet  Google Scholar 

  12. B. Ma, Y.Q. Shi, A reversible data hiding scheme based on code division multiplexing. IEEE Trans. Inf. Forensic Secur. 11(9), 1914–1927 (2016)

    Article  Google Scholar 

  13. Z. Shao, Y. Shang, Y. Zhang, X. Liu, G. Guo, Robust watermarking using orthogonal Fourier-Mellin moments and chaotic map for double images. Signal Process. 120, 522–531 (2016)

    Article  Google Scholar 

  14. U. SIPI, The USC-SIPI image database. (2016). https://sipi.usc.edu/database/

  15. L. Sun, J.C. Xu, X.X. Zhang, W. Dong, Y. Tian, A novel generalized Arnold transform-based zero-watermarking scheme. Appl. Math. Inf. Sci. 4, 2023–2035 (2015)

    Google Scholar 

  16. T.M. Thanh, K. Tanaka, An image zero-watermarking algorithm based on the encryption of visual map feature with watermark information. Multimed. Tools Appl. 76(11), 13455–13471 (2017)

    Article  Google Scholar 

  17. H.H. Tsai, H.C. Tseng, Y.S. Lai, Robust lossless image watermarking based on α-trimmed mean algorithm and support vector machine. J Syst Softw. 83(6), 1015–1028 (2010)

    Article  Google Scholar 

  18. H.H. Tsai, Y.S. Lai, S.C. Lo, A zero-watermark scheme with geometrical invariants using SVM and PSO against geometrical attacks for image protection. J. Syst. Softw. 86(2), 335–348 (2013)

    Article  Google Scholar 

  19. C. Wang, X. Wang, Z. Xia, Geometrically invariant image watermarking based on fast radial harmonic fourier moments. Signal Process-Image Commun. 45, 10–23 (2016)

    Article  Google Scholar 

  20. C. Wang, X. Wang, Z. Xia, C. Zhang, Ternary radial harmonic fourier moments based robust stereo image zero-watermarking algorithm. Inf. Sci. 470, 109–120 (2019)

    Article  Google Scholar 

  21. C. Wang, X. Wang, Z. Xia, B. Ma, Y.-Q. Shi, Image description with polar harmonic fourier moments. IEEE Trans. Circuits Syst. Video Technol. 30(12), 4440–4452 (2020)

    Article  Google Scholar 

  22. C. Wang, Q. Hao, B. Ma, J. Li, H. Gao, Fractional-order quaternion exponential moments for color images. Appl. Math. Comput. 400, 126061 (2021)

    MathSciNet  MATH  Google Scholar 

  23. C. Wang, B. Ma, Z. Xia, J. Li, Q. Li, Y.-Q. Shi, Stereoscopic image description with trinion fractional-order continuous orthogonal moments. IEEE Trans. Circuits Syst. Video Technol. 32(4), 1998–2012 (2022)

    Article  Google Scholar 

  24. C. Wang, Q. Hao, B. Ma, X. Wu, J. Li, Z. Xia, H. Gao, Octonion continuous orthogonal moments and their applications in color stereoscopic image reconstruction and zero-watermarking. Eng Appl. Artif. Intell. 106, 104450 (2021)

    Article  Google Scholar 

  25. C.P. Wang, X.Y. Wang, X.J. Chen, C. Zhang, Robust zero-watermarking algorithm based on polar complex exponential transform and logistic mapping. Multimed. Tools Appl. 76(24), 26355–26376 (2017)

    Article  Google Scholar 

  26. C.P. Wang, X.Y. Wang, Z.Q. Xia, C. Zhang, X.J. Chen, Geometrically resilient color image zero-watermarking algorithm based on quaternion Exponent moments. J. Vis Commun. Image Represent. 41, 247–259 (2016)

    Article  Google Scholar 

  27. C.P. Wang, X.Y. Wang, Y.W. Li, Z.Q. Xia, C. Zhang, Quaternion polar harmonic fourier moments for color images. Inf. Sci. 450, 141–156 (2018)

    Article  MathSciNet  Google Scholar 

  28. K. Wang, H. Wang, J. Wang, Terrain matching by fusing HOG with Zernike moments. IEEE Trans. Aerosp. Electron. Syst. 56(2), 1290–1300 (2020)

    Article  Google Scholar 

  29. Q. Wen, T.F. Sun, S.X. Wang, Based zero-watermark digital watermarking technology. In: The Third China Information Hiding and Multimedia Security Workshop (CIHW), pp. 102–109 (2001).

  30. Q. Wen, T.F. Sun, S.X. Wang, Concept and application of zero-watermark. Acta. Electron. Sin. 31, 214–216 (2003)

    Google Scholar 

  31. Z. Xia, X. Wang, W. Zhou, R. Li, C. Wang, C. Zhang, Color medical image lossless watermarking using chaotic system and accurate quaternion polar harmonic transforms. Signal Process. 157, 108–118 (2019)

    Article  Google Scholar 

  32. Z. Xia, X. Wang, C. Wang, B. Ma, M. Wang, Y.-Q. Shi, Local quaternion polar harmonic fourier moments-based multiple zero-watermarking scheme for color medical images. Knowl. Syst. 216, 106568 (2021)

    Article  Google Scholar 

  33. Z. Xia, X. Wang, C. Wang, B. Ma, H. Zhang, Q. Li, Novel quaternion polar complex exponential transform and its application in color image zero-watermarking. Digit. Signal Prog. 116, 103130 (2021)

    Article  Google Scholar 

  34. M. Yamni, H. Karmouni, M. Sayyouri, H. Qjidaa, Robust zero-watermarking scheme based on novel quaternion radial fractional Charlier moments. Multimed. Tools Appl. 80(14), 21679–21708 (2021)

    Article  Google Scholar 

  35. H.Y. Yang, S.R. Qi, P.P. Niu, X.Y. Wang, Color image zero-watermarking based on fast quaternion generic polar complex exponential transform. Signal Process-Image Commun. 82, 115747 (2020)

    Article  Google Scholar 

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Acknowledgements

This work was supported by the 2021 Liaoning Provincial Natural Science Foundation Innovation Capability Enhancement Joint Fund (No: 2021-NLTS-13-01) and Liaoning Provincial Department of Education Science Foundation (Nos: JL-2004 and LJKZ1088).

Funding

Liaoning Provincial Natural Science Foundation Innovation Capability Enhancement Joint Fund, 2021-NLTS-13-01, Hongjiang Wang, Liaoning Provincial Department of Education Science Foundation, JL-2004, Hongjiang Wang, LJKZ1088, Tingting Zhao.

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Authors and Affiliations

  1. College of Information, Shenyang Institute of Engineering, Shenyang, 110136, China

    Hongjiang Wang & Tingting Zhao

  2. Public Infrastructure Department, Shenyang Conservatory of Music, Shenyang, 110818, China

    Yan Chen

Authors
  1. Hongjiang Wang
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  2. Yan Chen
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  3. Tingting Zhao
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Correspondence to Hongjiang Wang.

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Wang, H., Chen, Y. & Zhao, T. Modified Zernike Moments and Its Application in Geometrically Resilient Image Zero-Watermarking. Circuits Syst Signal Process 41, 6844–6861 (2022). https://doi.org/10.1007/s00034-022-02076-6

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