Skip to main content

Reversible Data Hiding in Homomorphic Encrypted Images Without Preprocessing

  • Conference paper
  • First Online:
Information Security Applications (WISA 2019)

Abstract

Recently, reversible data hiding in encrypted images (RDH-EI) has been developed to transmit additional data. Besides extracting the hidden data, the original or processed image should be obtained when needed. In this paper, a new RDH-EI method for homomorphic encrypted images is proposed by utilizing the additive homomorphism and self-blinding property in Paillier cryptosystem. Specifically, part of the hidden data may be extracted before image decryption while the rest can be extracted after image decryption. In addition, no preprocessing is required so that homomorphic processing can be performed before data embedding. The experimental results on test images validate that the proposed method is compatible with homomorphic image processing before data embedding. Compared with the state-of-the-art methods, higher embedding capacity can be obtained with the proposed method while the original or processed image can be correctly generated.

The work was partially supported by Natural Science Foundation of China under Grants 61772208, 61672444 and 61632013, and the Fundamental Research Funds for the Central Universities of China, and the Initiation Grant for Faculty Niche Research Areas (IG-FNRA) of HKBU with Grant: RC-FNRA-IG/18-19/SCI/03.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    http://sipi.usc.edu/database/database.php?volume=misc

References

  1. Shi, Y.Q., Li, X., Zhang, X., Wu, H.T., Ma, B.: Reversible data hiding: advances in the past two decades. IEEE Access 4, 3210–3237 (2016)

    Article  Google Scholar 

  2. Cheung, Y.M., Wu, H.T.: A sequential quantization strategy for data embedding and integrity verification. IEEE Trans. Circuits Syst. Video Technol. 17(8), 1007–1016 (2007)

    Article  Google Scholar 

  3. Sachnev, V., Kim, H.J., Nam, J., Suresh, S., Shi, Y.Q.: Reversible watermarking algorithm using sorting and prediction. IEEE Trans. Circuits Syst. Video Technol. 19(7), 989–999 (2009)

    Article  Google Scholar 

  4. Wu, H.T., Cheung, Y.M.: Public authentication of 3d mesh models. In: Proceedings of 2006 IEEE/WIC/ACM International Conference on Web Intelligence, Hong Kong, pp. 940–948 (2016)

    Google Scholar 

  5. Wu, H., Cheung, Y.: A high-capacity data hiding method for polygonal meshes. In: Camenisch, J.L., Collberg, C.S., Johnson, N.F., Sallee, P. (eds.) IH 2006. LNCS, vol. 4437, pp. 188–200. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-74124-4_13

    Chapter  Google Scholar 

  6. Wu, H.T., Huang, J.: Reversible image watermarking on prediction error by efficient histogram modification. Sig. Process. 92(12), 3000–3009 (2012)

    Article  Google Scholar 

  7. Ou, B., Li, X., Zhao, Y., Ni, R., Shi, Y.Q.: Pairwise prediction-error expansion for efficient reversible data hiding. IEEE Trans. Image Process. 22(12), 5010–5021 (2013)

    Article  MathSciNet  Google Scholar 

  8. Wu, H.T., Dugelay, J.L., Shi, Y.Q.: Reversible image data hiding with contrast enhancement. IEEE Signal Process. Lett. 22(1), 81–85 (2015)

    Article  Google Scholar 

  9. Li, X., Zhang, W., Gui, X., Yang, B.: Efficient reversible data hiding based on multiple histograms modification. IEEE Trans. Inf. Forensics Secur. 10(9), 2016–2027 (2015)

    Article  Google Scholar 

  10. Dragoi, I.C., Coltuc, D.: Adaptive pairing reversible watermarking. IEEE Trans. Image Process. 25(5), 2420–2422 (2016)

    Article  MathSciNet  Google Scholar 

  11. Wang, J., Chen, X., Ni, J., Mao, N., Shi, Y.Q.: Multiple histograms based reversible data hiding: framework and realization. IEEE Trans. Circuits Syst. Video Technol. https://doi.org/10.1109/TCSVT.2019.2915584

  12. Wu, H.T., Huang, J., Shi, Y.Q.: A reversible data hiding method with contrast enhancement for medical images. J. Vis. Commun. Image Represent. 31, 146–153 (2015)

    Article  Google Scholar 

  13. Zhang, X.: Reversible data hiding in encrypted images. IEEE Signal Process. Lett. 18(4), 255–258 (2011)

    Article  Google Scholar 

  14. Zhang, X.: Separable reversible data hiding in encrypted image. IEEE Trans. Inf. Forensics Secur. 16(5), 826–832 (2012)

    Article  Google Scholar 

  15. Ma, K., Zhang, W., Sun, W.: Reversible data hiding in encrypted images by reserving room before encryption. IEEE Trans. Inf. Forensics Secur. 8(3), 553–562 (2013)

    Article  Google Scholar 

  16. Wu, X., Sun, W.: High-capacity reversible data hiding in encrypted images by prediction error. Sig. Process. 104, 387–400 (2014)

    Article  Google Scholar 

  17. Shiu, C.-W., Chen, Y.-C., Hong, W.: Encrypted image-based reversible data hiding with public key cryptography from difference expansion. Sig. Process. Image Commun. 39, 226–233 (2015)

    Article  Google Scholar 

  18. Cao, X., Du, L., Wei, X., Meng, D.: High capacity reversible data hiding in encrypted images by patch-level sparse representation. IEEE Trans. Cybern. 46(5), 1132–1143 (2016)

    Article  Google Scholar 

  19. Qian, Z., Zhang, X.: Reversible data hiding in encrypted image with distributed source encoding. IEEE Trans. Circuits Syst. Video Technol. 26(4), 636–646 (2016)

    Article  MathSciNet  Google Scholar 

  20. Zhou, J., Sun, W., Dong, L., Liu, X., Au, O.C., Tang, Y.Y.: Secure reversible image data hiding over encrypted domain via key modulation. IEEE Trans. Circuits Syst. Video Technol. 26(3), 441–452 (2016)

    Article  Google Scholar 

  21. Puteaux, P., Puech, W.: An efficient MSB prediction-based method for high-capacity reversible data hiding in encrypted images. IEEE Trans. Inf. Forensics Secur. 13(7), 1670–1681 (2018)

    Article  Google Scholar 

  22. Zhang, X., Long, J., Wang, Z., Cheng, H.: Lossless and reversible data hiding in encrypted images with public key cryptography. IEEE Trans. Circuits Syst. Video Technol. 26(9), 1622–1631 (2016)

    Article  Google Scholar 

  23. Xu, D., Wang, R.: Separable and error-free reversible data hiding in encrypted imagesn. Sig. Process. 123, 9–21 (2016)

    Article  Google Scholar 

  24. Xiang, S., Luo, X.: Reversible data hiding in homomorphic encrypted domain by mirroring ciphertext group. IEEE Trans. Circuits Syst. Video Technol. 28(11), 3099–3110 (2018)

    Article  MathSciNet  Google Scholar 

  25. Wu, H.T., Cheung, Y.M., Huang, J.: Reversible data hiding in Paillier Cryptosystem. J. Vis. Commun. Image Represent. 40, 765–771 (2016)

    Article  Google Scholar 

  26. Wu, X., Chen, B., Weng, J.: Reversible data hiding for encrypted signals by homomorphic encryption and signal energy transfer. J. Vis. Commun. Image Represent. 41, 58–64 (2016)

    Article  Google Scholar 

  27. Wu, H.T., Cheung, Y.M., Yang, Z., Tang, S.: A high-capacity reversible data hiding method for homomorphic encrypted images. J. Vis. Commun. Image Represent. 62, 87–96 (2019)

    Article  Google Scholar 

  28. Wu, H.T., Yang, Z., Cheung, Y.M., Xu, L., Tang, S.: High-capacity reversible data hiding in encrypted images by bit plane partition and MSB prediction. IEEE Access 7, 62361–62371 (2019)

    Article  Google Scholar 

  29. Barni, M., Kalker, T., Katzenbeisser, S.: Inspiring new research in the field of signal processing in the encrypted domain. IEEE Sig. Process. Mag. 30(2), 16–16 (2013)

    Article  Google Scholar 

  30. Paillier, P.: Public-key cryptosystems based on composite degree residuosity classes. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 223–238. Springer, Heidelberg (1999). https://doi.org/10.1007/3-540-48910-X_16

    Chapter  Google Scholar 

  31. Gentry, C.: Fully homomorphic encryption using ideal lattices. In: Proceedings of the 41st ACM Symposium on Theory of Computing, pp. 169–178 (2009)

    Google Scholar 

  32. Brakershi, Z., Vaikuntanathan, V.: Efficient fully homomorphic encryption from (standard) LWE. SIAM J. Comput. 43(2), 831–871 (2014)

    Article  MathSciNet  Google Scholar 

  33. Haghighat, M., Zonouz, S., Abdel-Mottaleb, M.: Security and privacy in cloud computing: vision, trends, and challenges. IEEE Trans. Cloud Comput. 2(2), 30–38 (2015)

    Article  Google Scholar 

  34. Zhang, X., Yang, Z., Liu, Y., Tang, S.: Reliable task assignment for spatial crowdsourcing. IEEE Trans. Emerg. Top. Comput. 7(1), 174–186 (2019)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hao-Tian Wu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Wu, HT., Cheung, Ym., Zhuang, Z., Tang, S. (2020). Reversible Data Hiding in Homomorphic Encrypted Images Without Preprocessing. In: You, I. (eds) Information Security Applications. WISA 2019. Lecture Notes in Computer Science(), vol 11897. Springer, Cham. https://doi.org/10.1007/978-3-030-39303-8_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-39303-8_11

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-39302-1

  • Online ISBN: 978-3-030-39303-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics