Skip to main content
Log in

Multi-Directional Pixel Difference Histogram Analysis Based on Pixel Blocks of Different Sizes

  • Original Paper
  • Published:
Sensing and Imaging Aims and scope Submit manuscript

Abstract

Wu & Tsai’s one directional pixel value differencing (PVD), and Khodaei & Faez’s two directional PVD are detected by one directional pixel difference histogram (PDH) analysis. Researchers proposed three directional PVD using 2 × 2 size blocks, five directional PVD using 2 × 3 or 3 × 2 size pixel blocks, and 8 directional PVD utilizing 3 × 3 size pixel blocks. These are known as multi-directional PVD (MD PVD) techniques. It has been claimed by researchers that MD PVD is not detected by PDH analysis. This paper proposes a multi-directional PDH (MDPDH) technique which can detect MD PVD techniques. In fact, the proposed MDPDH technique checks one direction in 1 × 2 size blocks, two directions in 1 × 3 size blocks, three directions in 2 × 2 size pixel blocks, five directions in 2 × 3 or 3 × 2 size pixel blocks, and eight directions in 3 × 3 size blocks. This MDPDH technique comprises of five different algorithms. The experimental results reveal that this proposed MDPDH technique is capable of detecting all kinds of MD PVD techniques.

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
Fig. 16
Fig. 17
Fig. 18

Similar content being viewed by others

References

  1. Wu, D. C., & Tsai, W. H. (2003). A steganographic method for images by pixel value differencing. Pattern Recognition Letters, 24(9–10), 1613–1626.

    Article  Google Scholar 

  2. Chang, K.-C., Chang, C.-P., Huang, P. S., & Tu, T.-M. (2008). A novel image steganographic method using tri-way pixel-value differencing. Journal of multimedia, 3(2), 37–44.

    Google Scholar 

  3. Lee, Y. P., Lee, J. C., Chen, W. K., Chang, K. C., Su, J., & Chang, C. P. (2012). High-payload image hiding with quality recovery using tri-way pixel-value differencing. Information Sciences, 191, 214–225.

    Article  Google Scholar 

  4. Zhang, X., & Wang, S. (2004). Vulnerability of pixel-value differencing steganography to histogram analysis and modification for enhanced security. Pattern Recognition Letters, 25(3), 331–339.

    Article  Google Scholar 

  5. Luo, W., Huang, F., & Huang, J. (2011). A more secure steganography based on adaptive pixel-value differencing scheme. Multimedia tools and applications, 52(2–3), 407–430.

    Article  Google Scholar 

  6. Swain, G. (2016). Adaptive pixel value differencing steganography using both vertical and horizontal edges. Multimedia Tools and Applications, 75(21), 13541–13556.

    Article  Google Scholar 

  7. Pradhan, A., Sekhar, K. R., & Swain, G. (2017). Adaptive PVD Steganography using horizontal, vertical, and diagonal edges in six-pixel blocks. Security and Communication Networks, 2017, 1–13.

    Article  Google Scholar 

  8. Balasubramanian, C., Selvakumar, S., & Geetha, S. (2014). High payload image steganography with reduced distortion using octonary pixel pairing scheme. Multimedia Tools and Applications, 73(3), 2223–2245.

    Article  Google Scholar 

  9. Pradhan, A., Sekhar, K. R., & Swain, G. (2016). Digital image steganography based on seven way pixel value Differencing. Indian Journal of Science and Technology, 9(37), 1–11.

    Article  Google Scholar 

  10. Chen, J. (2014). A PVD-based data hiding method with histogram preserving using pixel pair matching. Signal Processing: Image Communication, 29(3), 375–384.

    Google Scholar 

  11. Hussain, M., Wahab, A. W. A., Ho, A. T. S., Javed, N., & Jung, K.-H. (2017). A data hiding scheme using parity-bit pixel value differencing and improved rightmost digit replacement. Signal Processing: Image Communication, 50, 44–57.

    Google Scholar 

  12. Tseng, H. W., & Leng, H. S. (2013). A steganographic method based on pixel-value differencing and the perfect square number. Journal of Applied Mathematics, 2013, 1–8.

    Article  MathSciNet  Google Scholar 

  13. Swain, G. (2019). Very high capacity image steganography technique using quotient value differencing and LSB substitution. Arabian Journal for Science and Engineering, 44(4), 2995–3004.

    Article  Google Scholar 

  14. Hong, W., Chen, T. S., & Luo, C. W. (2012). Data embedding using pixel value differencing and diamond encoding with multiple-base notational system. Journal of Systems and Software, 85(5), 1166–1175.

    Article  Google Scholar 

  15. Hameed, M. A., Aly, S., & Hassaballah, M. (2018). An efficient data hiding method based on adaptive directional pixel value differencing (ADPVD). Multimedia Tools and Applications, 77(12), 14705–14723.

    Article  Google Scholar 

  16. Hosam, O., & Halima, N. B. (2016). Adaptive block-based pixel value differencing steganography. Security and Communication Networks, 9, 5036–5050.

    Article  Google Scholar 

  17. Wu, H. C., Wu, N. I., Tsai, C. S., & Hwang, M. S. (2005). Image steganographic scheme based on pixel-value differencing and LSB replacement methods. IEE Proceedings-Vision, Image and Signal Processing, 152(5), 611–615.

    Article  Google Scholar 

  18. Yang, C. H., Weng, C. Y., Wang, S. J., & Sun, H. M. (2010). Varied PVD+ LSB evading detection programs to spatial domain in data embedding systems. Journal of Systems and Software, 83(10), 1635–1643.

    Article  Google Scholar 

  19. Swain, G. (2014). Digital image steganography using nine-pixel differencing and modified LSB substitution. Indian Journal of Science and Technology, 7(9), 1444–1450.

    Article  Google Scholar 

  20. Darabkh, K. A., Al-Dhamari, A. K., & Jafar, I. F. (2017). A new steganographic algorithm based on multi directional PVD and modified LSB. Information Technology and Control, 46(1), 16–36.

    Article  Google Scholar 

  21. Khodaei, M., & Faez, K. (2012). New adaptive steganographic method using least significant-bit substitution and pixel-value differencing. IET Image Processing, 6(6), 677–686.

    Article  Google Scholar 

  22. Swain, G. (2016). A steganographic method combining LSB substitution and PVD in a block. Procedia Computer Science, 85, 39–44.

    Article  Google Scholar 

  23. Swain, G. (2018). Digital image steganography using eight directional PVD against RS analysis and PDH analysis. Advances in Multimedia, 2018, 1–13.

    Article  Google Scholar 

  24. Shukla, A. K., Singh, A., Singh, B., & Kumar, A. (2018). A secure and high-capacity data-hiding method using compression, encryption and optimized pixel value differencing. IEEE Access, 6, 51130–51139.

    Article  Google Scholar 

  25. Kalita, M., Tuithung, T., & Majumder, S. (2019). An adaptive color image steganography method using adjacent pixel value differencing and LSB substitution technique. Cryptologia, 43(5), 414–437.

    Article  Google Scholar 

  26. Arya, M. S., Rani, M., & Bedi, C. S. (2016). Improved capacity image steganography algorithm using 16-pixel differencing with n-bit LSB substitution for RGB images. International Journal of Electrical & Computer Engineering, 6(6), 2735–2741.

    Google Scholar 

  27. Sahu, A. K., & Swain, G. (2019). Data hiding using adaptive LSB and PVD technique resisting PDH and RS analysis. International Journal of Electronic Security and Digital Forensics, 11(4), 458–476.

    Article  Google Scholar 

  28. Jung, K. H. (2010). High-capacity steganographic method based on pixel-value differencing and LSB replacement methods. The Imaging Science Journal, 58(4), 213–221.

    Article  Google Scholar 

  29. Malik, A., Sikka, G., & Verma, H. K. (2015). A modified pixel-value differencing image steganographic scheme with least significant bit substitution method. International Journal of Image, Graphics and Signal Processing, 7(4), 68–74.

    Article  Google Scholar 

  30. Hussain, M., Wahab, A. W. A., Javed, N., & Jung, K.-H. (2018). Recursive Information Hiding Scheme Through LSB, PVD Shift, and MPE. IETE Technical Review, 35(1), 53–63.

    Article  Google Scholar 

  31. Hussain, M., Wahab, A. W. A., Idris, Y. I. B., Ho, A. T. S., & Jung, K.-H. (2018). Image steganography in spatial domain: A survey. Signal Processing: Image Communication, 65, 46–66.

    Google Scholar 

  32. Sahu, A. K., & Sahu, M. (2020). Digital image steganography and steganalysis: A journey of the past three decades. Open Computer Science, 10, 296–342.

    Article  Google Scholar 

  33. Swain, G. (2018). High capacity image steganography using modified LSB substitution and PVD against pixel difference histogram analysis. Security and Communication Networks, 2018, 1–14.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gandharba Swain.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sonar, R., Swain, G. Multi-Directional Pixel Difference Histogram Analysis Based on Pixel Blocks of Different Sizes. Sens Imaging 22, 11 (2021). https://doi.org/10.1007/s11220-021-00334-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11220-021-00334-6

Keywords

Navigation