Skip to main content
Log in

A new self-embedding digital watermarking encryption scheme

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

For image information transmission security and copyright disputes, a novel and effective digital image watermarking encryption scheme is designed by combining zero watermarking and digital image encryption. In the aspect of watermark acquisition, the Canny operator is used to extract the edge features of the plaintext image, and the embedded watermark with a small amount of data and high similarity to the plaintext is obtained. This operation enables better post-embed invisibility as well as cost savings on transfer time. In the image encryption part, combined with DCT compression technology, the Fisher shuffling algorithm is improved, which can effectively scramble the position of pixels and reduce the time complexity of its operation. The improved gravity model algorithm is used to complete the diffusion operation so that the plaintext information is further hidden in the pixels. Simulation results and security analysis show that the proposed algorithm performs well in terms of time cost and encryption effect. The results of watermark restoration and reconstruction show that the scheme has an excellent performance in realizing the non-visualization and robustness of the watermark.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Naman, H., Hussien, N., Al-dabag, M., Alrikabi, H.: Encryption system for hiding information based on Internet of Things. Int. J. Interact. Mobile Technol. 15, 172–183 (2021)

    Google Scholar 

  2. Alhayani, B., Abdallah, A.A.: Manufacturing intelligent Corvus corone module for a secured two way image transmission under WSN. Eng. Comput. 38(4), 1751–1788 (2021)

    Google Scholar 

  3. Chen, L., Yin, H., Yuan, L., Lopes, A.M., Machado, J.A.T., Wu, R.: A novel color image encryption algorithm based on a fractional-order discrete chaotic neural net-work and DNA sequence operations. Front. Inform. Technol. Elect. Eng. 21(6), 866–879 (2020)

    Google Scholar 

  4. Pourasad, Y., Ranjbarzadeh, R., Mardani, A.: A new algorithm for digital image encryption based on chaos theory. Entropy 23(3), 341 (2021)

    MathSciNet  Google Scholar 

  5. Zhang, Z., Cao, Y., Jahanshahi, H., Mou, J.: Chaotic color multi-image compression-encryption/LSB data type steganography scheme for NFT transaction security. J. King Saud Univ. Comput. Inf. Sci. 10(35), 101839 (2023)

    Google Scholar 

  6. Wang, X., Chen, S., Zhang, Y.: A chaotic image encryption algorithm based on random dynamic mixing. Opt. Laser Technol. 138, 106837 (2021)

    Google Scholar 

  7. Xian, X., Wang, X.: Fractal sorting matrix and its application on chaotic image encryption. Inf. Sci. 547, 1154–1169 (2021)

    MathSciNet  Google Scholar 

  8. Wang, M., Mou, J., Qin, L., Jahanshahi, H.: A memristor-coupled heterogeneous discrete neural networks with infinite multi-structure hyperchaotic attractors. Eur. Phys. J. Plus 138(12), 1137 (2023)

    Google Scholar 

  9. Sha, Y., Mou, J., Wang, J., Banerjee, S., Sun, B.: Chaotic image encryption with Hopfield neural network. Fractals 31(6), 2340107 (2023)

    Google Scholar 

  10. Wang, L., Zhou, N., Sun, B., Cao, Y., Mou, J.: Novel self-embedding holographic watermarking image encryption protection scheme. Chin. Phys. B (2024). https://doi.org/10.1088/1674-1056/ad1c5b

    Article  Google Scholar 

  11. Ma, Y., Mou, J., Banerjee, S., Miao, M.: A quartic nonlinear flux-controlled memristor model and its application in chaotic system. Appl. Comput. Math. 22(3), 317–337 (2023)

    Google Scholar 

  12. Zhu, S., Deng, X., Zhang, W., et al.: Secure image encryption scheme based on a new robust chaotic map and strong S-box. Math. Comput. Simul. 207, 322–346 (2023)

    MathSciNet  Google Scholar 

  13. Chen, X., Banerjee, S., Cao, Y., Mou, J.: A chaotic multiple images encryption algorithm based on block scrambling and dynamic DNA coding. Int. J. Bifurc. Chaos 33(16), 2350190 (2023)

    MathSciNet  Google Scholar 

  14. Lai, Q., Hu, G., Erkan, U., et al.: A novel pixel-split image encryption scheme based on 2D Salomon map. Expert Syst. Appl. 213, 118845 (2023)

    Google Scholar 

  15. Jain, K., Aji, A., Krishnan, P.: Medical image encryption scheme using multiple chaotic maps. Pattern Recognit. Lett. 152, 356–364 (2021)

    Google Scholar 

  16. Zhou, W., Wang, X., Wang, M., et al.: A new combination chaotic system and its application in a new Bit-level image encryption scheme. Opt. Lasers Eng. 149, 106782 (2022)

    Google Scholar 

  17. Huang, X., Dong, Y., Ye, G., et al.: Meaningful image encryption algorithm based on compressive sensing and integer wavelet transform. Front. Comput. Sci. 17(3), 173804 (2023)

    Google Scholar 

  18. Wang, L., Cao, Y., Jahanshahi, H., Wang, Z., Mou, J.: Color image encryption algorithm based on Double layer Josephus scramble and laser chaotic system. Optik 275, 170590 (2023)

    Google Scholar 

  19. Mou, J., Han, Z., Cao, Y., Banerjee, S.: Discrete second-order memristor and its application to chaotic map. IEEE Trans. Circuits Syst. II Express Briefs (2024). https://doi.org/10.1109/TCSII.2023.3348998

    Article  Google Scholar 

  20. Wang, X., Cao, Y., Li, H., Li, B.: A chaos-enhanced fractional-order chaotic system with self-reproduction based on a memcapacitor and meminductor. Fractal Fract. 7(8), 582 (2023)

    Google Scholar 

  21. Ren, L., Qin, L., Jahanshahi, H., Mou, J.: Infinite coexistence attractors and scrolls in fractional-order discrete neuron map. Int. J. Bifurc. Chaos 33(16), 2350197 (2023)

    Google Scholar 

  22. Lu, X., Xie, E.Y., Li, C.: Periodicity analysis of the logistic map over ring \({Z}_{3^n}\). Int. J. Bifurc. Chaos 33(05), 2350063 (2023)

    Google Scholar 

  23. Shmatkov, D.: Copyright protection for sports and robotics moves: new challenges. Law Innov. 2(34), 23–29 (2021)

    Google Scholar 

  24. Zhang, X., Sun, X., Sun, X., et al.: Robust reversible audio watermarking scheme for telemedicine and privacy protection. Comput. Mater. Contin. (2022). https://doi.org/10.32604/cmc.2022.022304

    Article  Google Scholar 

  25. Wu, H., Ye, G., Yap, W.S., et al.: Reversible blind image hiding algorithm based on compressive sensing and fusion mechanism. Opt. Laser Technol. 167, 109755 (2023)

    Google Scholar 

  26. Ye, G., Wu, H., Liu, M., Huang, X.: Reversible image-hiding algorithm based on singular value sampling and compressive sensing. Chaos Solitons Fractals 171, 113469 (2023)

    MathSciNet  Google Scholar 

  27. Guan, Q., Deng, H., Liang, W., et al.: Multi-images encryption and watermarking with small number of keys via computational ghost imaging. Opt. Laser Technol. 168, 109957 (2024)

    Google Scholar 

  28. Liu, S., Pan, Z., Song, H.: Digital image watermarking method based on DCT and fractal encoding. IET Image Process. 11(10), 815–821 (2017)

    Google Scholar 

  29. Chen, B., Wornell, G.W.: Quantization index modulation: a class of provably good methods for digital watermarking and information embedding. IEEE Trans. Inf. Theory 47(4), 1423–1443 (2001)

    MathSciNet  Google Scholar 

  30. Mohammed, A.O., Hussein, H.I., Mstafa, R.J., et al.: A blind and robust color image watermarking scheme based on DCT and DWT domains. Multimed. Tools Appl. 82, 1–27 (2023)

    Google Scholar 

  31. Vignesh, D., Fataf, N.A.A., Banerjee, S.: A novel fractional sine chaotic map and its application to image encryption and watermarking. Appl. Sci. 13(11), 6556 (2023)

    Google Scholar 

  32. Sonam, Sehra, K., Singh, R.P., et al.: Secure digital image watermarking using memristor-based hyperchaotic circuit. Vis. Comput. 39(10), 4459–4485 (2023)

    Google Scholar 

  33. Faheem, Z.B., Hanif, D., Arslan, F., et al.: An edge inspired image watermarking approach using compass edge detector and LSB in cybersecurity. Comput. Electr. Eng. 111, 108979 (2023)

    Google Scholar 

  34. Singh, R.K.: A hybrid approach of cryptography: watermarking scheme based on quantum chaos. Int. J. Soc. Ecol. Sustain. Dev. 14(1), 1–19 (2023)

    Google Scholar 

  35. Su, Q., Wang, G., Lv, G., Zhang, X., Deng, G., Chen, B.: A novel blind color image watermarking based on contourlet transform and Hessenberg decomposition. Multimed. Tools Appl. 76(6), 8781–8801 (2017)

    Google Scholar 

  36. Elbasi, E., Mostafa, N., Cina, E.: Robust, secure and semi-blind watermarking technique using flexible scaling factor in block-based wavelet algorithm. Electronics 11(22), 3680 (2022)

    Google Scholar 

  37. Raj, N.R.N., Shreelekshmi, R.: A survey on fragile watermarking based image authentication schemes. Multimed. Tools Appl. 80, 19307–19333 (2021)

    Google Scholar 

  38. Kumar, S., Singh, B.K.: Entropy based spatial domain image watermarking and its performance analysis. Multimed. Tools Appl. 80(6), 9315–9331 (2021)

    Google Scholar 

  39. Cao, H., Hu, F., Sun, Y., et al.: Robust and reversible color image watermarking based on DFT in the spatial domain. Optik 262, 169319 (2022)

    Google Scholar 

  40. Zuo, M.J., Cheng, S., Gong, L.H.: Secure and robust watermarking scheme based on the hybrid optical bi-stable model in the multi-transform domain. Multimed. Tools Appl. 81(12), 17033–17056 (2022)

    Google Scholar 

  41. Mohammed, A.O., Hussein, H.I., Mstafa, R.J., et al.: A blind and robust color image watermarking scheme based on DCT and DWT domains. Multimed. Tools Appl. 82, 1–27 (2023)

    Google Scholar 

  42. Shi, H., Zhou, S., Chen, M., et al.: A novel zero-watermarking algorithm based on multi-feature and DNA encryption for medical images. Multimed. Tools Appl. 82, 1–46 (2023)

    Google Scholar 

  43. Xiao, D., Zhao, A., Li, F.: Robust watermarking scheme for encrypted images based on scrambling and Kronecker compressed sensing. IEEE Signal Process. Lett. 29, 484–488 (2022)

  44. Li, Z., Zhang, H., Liu, X., et al.: Blind and safety-enhanced dual watermarking algorithm with chaotic system encryption based on RHFM and DWT-DCT. Digit. Signal Process. 115, 103062 (2021)

    Google Scholar 

  45. Karawia, A.: Image encryption based on Fisher-Yates shuffling and three dimensional chaotic economic map. IET Image Proc. 13(12), 2086–2097 (2019)

    Google Scholar 

  46. Li, Y., Liu, B.: Improved edge detection algorithm for canny operator. In: 2022 IEEE 10th Joint International Information Technology and Artificial Intelligence Conference (ITAIC). IEEE, vol. 10, pp. 1–5 (2022)

  47. Alawida, M., Teh, J.S., Samsudin, A.: An image encryption scheme based on hybridizing digital chaos and finite state machine. Signal Process. 164, 249–266 (2019)

    Google Scholar 

  48. Xian, Y., Wang, X.: Fractal sorting matrix and its application on chaotic image encryption. Inf. Sci. 547, 1154–1169 (2021)

    MathSciNet  Google Scholar 

  49. Ye, G., Pan, C., Huang, X., et al.: An efficient pixel-level chaotic image encryption algorithm. Nonlinear Dyn. 94, 745–756 (2018)

    Google Scholar 

  50. Guan, M., Yang, X., Hu, W.: Chaotic image encryption algorithm using frequency-domain DNA encoding. IET Image Process. 13(9), 1535–1539 (2019)

    Google Scholar 

  51. Wang, X., Sun, H.: A chaotic image encryption algorithm based on improved Joseph traversal and cyclic shift function. Opt. Laser Technol. 122, 105854 (2020)

    Google Scholar 

  52. Zhou, S.: A real-time one-time pad DNA-chaos image encryption algorithm based on multiple keys. Opt. Laser Technol. 143, 107359 (2021)

    Google Scholar 

  53. Luo, Y., Lin, J., Liu, J., et al.: A robust image encryption algorithm based on Chua’s circuit and compressive sensing. Signal Process. 161, 227–247 (2019)

    Google Scholar 

  54. Laiphrakpam, D.S., Khumanthem, M.S.: A robust image encryption scheme based on chaotic system and elliptic curve over finite field. Multimed. Tools Appl. 77(7), 8629–8652 (2018)

    Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 62061014); Basic scientific research projects in department of education of Liaoning Province (Grant Nos. LJKZR20220075).

Funding

Basic scientific research projects in department of education of Liaoning Province (Grant Nos. LJKZR20220075).

Author information

Authors and Affiliations

Authors

Contributions

Linian Wang designed and carried out experiments, data analyzed and manuscript wrote. Jun Mou, Bo Sun and Santo made the theoretical guidance for this paper. Yinghong Cao improved the algorithm. All authors reviewed the manuscript.

Corresponding author

Correspondence to Bo Sun.

Ethics declarations

Conflict of interest

No conflicts of interests about the publication by all authors.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, L., Banerjee, S., Cao, Y. et al. A new self-embedding digital watermarking encryption scheme. Nonlinear Dyn 112, 8637–8652 (2024). https://doi.org/10.1007/s11071-024-09521-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-024-09521-y

Keywords

Navigation