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An embedding approach using orthogonal matrices of the singular value decomposition for image steganography

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Abstract

This paper aims to reduce the embedding errors, maintain the image fidelity, and reduce the errors, when detecting the embedded messages in images. An embedding approach is proposed that depends on using the orthogonal matrices of the Singular Value Decomposition (SVD) as a vessel for embedding information instead of embedding in the singular values of the images. Three ways are suggested to reduce the embedding errors and maintain the image fidelity, when detecting the embedded message. These ways are increasing the number of columns protected without embedding, choosing the suitable block size to embed in and adjusting the singular values in order to give a high quality of the stego image. Results show that utilization of the orthogonal matrices of the SVD for information hiding can be as effective as using transform-based techniques, and it gives better results than those obtained with the Least Significant Bit (LSB) technique.

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References

  1. Bao P, Ma X (2005) Image Adaptive Watermarking Using Wavelet Domain Singular Value Decomposition. IEEE Transactions on Circuits And Systems For Video Technology 15(1)

  2. Barni M, Bartolini F, Cappellini V, Piva A (1997) Robust watermarking of still images for copyright protection. 13th International Conference on Digital Signal Processing Proceedings, DSP 97, (vol. 1, pp)

  3. Chandra D (2002) Digital Image Watermarking Using Singular Value Decomposition. Proceedings of 45th IEEE Midwest Symposium on Circuits and Systems, Tulsa, pp 264–267

    Google Scholar 

  4. Cox IJ, Miller ML, Bloom JA (2002) Digital watermarking. Morgan Kaufmann Publishers, San Francisco

    Google Scholar 

  5. Crandall R (1998) Some Notes on Steganography. Posted on Steganography Mailing List, http://os.inf.tu-dresden.de/_westfeld/crandall.pdf

  6. Fridrich J and M. Goljan. 2002, “Practical steganalysis—state of the art,” Proceedings SPIE Photonics West, 4675, pp. 1–13, (San Jose).

  7. Fridrich J, Goljan M, Du R (2001) Detecting LSB Steganography in Color and Gray Images. Magazine of IEEE Multimedia (Special Issue on Security), pp. 22–28

  8. Ganic E, Eskicioglu AM (2005) Robust Embedding of Visual Watermarks Using DWT-SVD. Journal of Electronic Imaging

  9. Huffman W, Pless V (2003) Fundamentals of Error-Correcting Codes. Cambridge University Press, Cambridge

    Book  Google Scholar 

  10. Lay D (2000) Linear Algebra and Its Applications. Addison Wesley Longman, Inc, New York

    MATH  Google Scholar 

  11. Li X, Ma J, Wang W, Xiong Y, Zhang J (2013) A novel smart card and dynamic ID based remote user authentication scheme for multi-server environment. Math Comput Model 58(1–2):85–95

    Article  Google Scholar 

  12. Liao X, Li K, Yin J (2017) Separable data hiding in encrypted image based on compressive sensing and discrete Fourier transform. Multimed Tools Appl 77(8):20739–20753

    Article  Google Scholar 

  13. Liao X, Qin Z, Ding L (2017) Data embedding in digital images using critical functions. Signal Process Image Commun 58:146–156

    Article  Google Scholar 

  14. Liaoa X, Yina J, Guoa S, Li b X, Sangaiahc AK (2017) Medical JPEG image steganography based on preserving inter-block dependencies. Comput Electr Eng 67:320–329

    Article  Google Scholar 

  15. Liu R, Tan T (2002) An SVD-Based Watermarking Scheme for Protecting Rightful ownership. IEEE Transactions on Multimedia 4(1)

  16. Schneier B (1996) Applied Cryptography, second edn. John Wiley and Sons, New York

  17. Sun R, Sun H, Yao T (2002) A SVD and quantization based semi-fragile watermarking technique for image authentication. Proc IEEE International Conf Signal Processing 2:1592–1595

    Article  Google Scholar 

  18. Tsai M, Yu K, Chen Y (2000) Joint wavelet and spatial transformation for digital watermarking. IEEE Trans Consum Electron 46(1):237

    Article  Google Scholar 

  19. Xin Liao GS, Yin G, Wang H, Li X, Sangaiahc AK (2017) New cubic reference table based image steganography. Multimed Tools Appl 77(8):10033–10050

    Article  Google Scholar 

  20. Xinzhong Z, Jianmin Z, Huiying X (2006) A Digital Watermarking Algorithm and Implementation Based on Improved SVD. The 18th International Conference on Pattern Recognition (ICPR’06) 3:651–656

    Article  Google Scholar 

Download references

Acknowledgements

This research was funded by the Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding program. The authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group No (RG-1440-039).

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Correspondence to Mohammed Amoon.

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Abdallah, H.A., Amoon, M., Hadhoud, M.M. et al. An embedding approach using orthogonal matrices of the singular value decomposition for image steganography. Multimed Tools Appl 79, 7175–7191 (2020). https://doi.org/10.1007/s11042-019-7657-6

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  • DOI: https://doi.org/10.1007/s11042-019-7657-6

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