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Secured Medical Images - a Chaotic Pixel Scrambling Approach

  • Patient Facing Systems
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Abstract

In this paper, a cryptosystem is proposed to encrypt 16-bit monochrome DICOM image using enhanced chaotic economic map. A new enhanced chaotic economic map (ECEM) is designed from the chaotic economic map which has better bifurcation nature and positive Lyapunov exponent values. In order to improve the sternness of the encryption algorithm, the enhanced chaotic map is employed to generate the pixel permutation, masking, and swapping sequences. The substitution operation is introduced in-between the standard permutation and diffusion operations. The robustness of the proposed image encryption algorithm is measured by various analyses such as histogram, key sensitivity, key space, number of pixel change rate (NPCR), unified average change intensity (UACI), information entropy and correlation coefficient. The results of the security analyses are compared with existing algorithms to validate that the proposed algorithm is better in terms of larger key space to resist brute force attacks and other common attacks on encryption.

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References

  1. Ruotsalainen, P., Privacy and security in teleradiology. Eur. J. Radiol. 73(1):31–35, 2010. doi:10.1016/j.ejrad.2009.10.018.

    Article  PubMed  Google Scholar 

  2. Ravichandran, D., Praveenkumar, P., Rayappan, J.B.B., and Amirtharajan, R., Chaos based crossover and mutation for securing DICOM image. Comp. Biol. Med. 72:170–184, 2016. doi:10.1016/j.compbiomed.2016.03.020.

    Article  Google Scholar 

  3. Patidar, V., and Pareek, N., Sud K Modified substitution-diffusion image cipher using chaotic standard and logistic maps. Comm. Nonlinear. Sci. Numer. Simul. 15(10):2755–2765, 2010. doi:10.1016/j.cnsns.2009.11.010.

    Article  Google Scholar 

  4. Li, X., Zhang, G., and Zhang, X., Image encryption algorithm with compound chaotic maps. J. Ambient. Intell. Humaniz. Comput. 6(5):563–570, 2015. doi:10.1007/s12652-013-0217-4.

    Article  Google Scholar 

  5. Zhang, S., and Gao, T., An image encryption scheme based on DNA coding and permutation of hyper-image. Multimed. Tools. Appl.:1–14, 2015. doi:10.1007/s11042-015-2982-x.

  6. Norouzi, B., Mohammad Seyedzadeh, S., Mirzakuchaki, S., and Mosavi, M.R., A novel image encryption based on row-column, masking and main diffusion processes with hyper chaos. Multimed. Tools. Appl. 74(3):781–811, 2015. doi:10.1007/s11042-013-1699-y.

    Article  Google Scholar 

  7. Chai, X., Yang, K., and Gan, Z., A new chaos-based image encryption algorithm with dynamic key selection mechanisms. Multimed. Tools. Appl1–21, 2016. doi:10.1007/s11042-016-3585-x.

  8. Wang, Y., Wong, K.W., Liao, X.F., and Chen, G.R., A new chaos-based fast image encryption algorithm. Appl. Soft. Comput. 11(1):514–522, 2011. doi:10.1016/j.asoc.2009.12.011.

    Article  CAS  Google Scholar 

  9. Wang, X.Y., and Zhao, J.F., A new image encryption algorithm based on chaos. Optics. Commun. 285(5):562–566, 2012. doi:10.1016/j.optcom.2011.10.098.

    Article  CAS  Google Scholar 

  10. Guan, Z.H., Huang, F., and Guan, W., Chaos-based image encryption algorithm. Phys. Lett. A. 346(1–3):153–157, 2005. doi:10.1016/j.physleta.2005.08.006.

    Article  CAS  Google Scholar 

  11. Askar, S.S., Karawia, A.A., and Alshamrani, A., Image encryption algorithm based on chaotic economic model. Math. Probl. Eng., 2015. doi:10.1155/2015/341729.

    Google Scholar 

  12. Belazi, A., Ahmed, A., El-Latif, A., and Belghith, S., A novel image encryption scheme based on substitution-permutation network and chaos. Signal. Process. 128:155–170, 2016. doi:10.1016/j.sigpro.2016.03.021.

    Article  Google Scholar 

  13. Assad, S.E., and Farajallah, M., A new chaos-based image encryption system. Signal. Process. Image. Commun. 41:144–157, 2016. doi:10.1016/j.image.2015.10.004.

    Article  Google Scholar 

  14. Chen, J., Zhu, Z., Fu, C., Yu, H., and Zhang, L., A fast chaos-based image encryption scheme with a dynamic state variables selection mechanism. Commun. Nonlinear. Sci. Numer. Simul. 20(3):846–860, 2015. doi:10.1016/j.cnsns.2014.06.032.

    Article  Google Scholar 

  15. Ye, G., and Huang, X., A secure image encryption algorithm based on chaotic maps and SHA-3. Security. Comm. Netw., 2016. doi:10.1002/sec.1458.

    Google Scholar 

  16. Praveenkumar, P., Amirtharajan, R., Thenmozhi, K., and Rayappan, J.B.B., Triple chaotic image scrambling on RGB – a random image encryption approach. Security. Comm. Netw. 8(18):3335–3345, 2015. doi:10.1002/sec.1257.

    Article  Google Scholar 

  17. Liu, G., Li, J., and Liu, H., Chaos-based color pathological image encryption scheme using one-time keys. Compu.t Biol. Med. 45:111–117, 2014. doi:10.1016/j.compbiomed.2013.11.010.

    Article  Google Scholar 

  18. Fu, C., Meng, W., Zhan, Y., Zhu, Z., Lau, F.C.M., Tse, C.K., and Ma, H., An efficient and secure medical image protection scheme based on chaotic maps. Comput. Biol. Med. 43:1000–1010, 2013. doi:10.1016/j.compbiomed.2013.05.005.

    Article  PubMed  Google Scholar 

  19. Zhang, S., Gao, T., and Gao, L., A novel encryption frame for medical image with watermark based on hyperchaotic system. Math. Probl. Eng., 2014. doi:10.1155/2014/240749.

    Google Scholar 

  20. Chen, J., Zhu, Z., Fu, C., Zhang, L., and Zhang, Y., An image encryption scheme using nonlinear inter-pixel computing and swapping based permutation approach. Commun. Nonlinear. Sci. Numer. Simul. 23:294–310, 2015. doi:10.1016/j.cnsns.2014.11.021.

    Article  Google Scholar 

  21. Praveenkumar, P., Amirtharajan, R., and Thenmozhi, K., Medical data sheet in safe havens – a tri-layer cryptic solution. Comp. Biol Med. 62:264–276, 2015. doi:10.1016/j.compbiomed.2015.04.031.

    Google Scholar 

  22. Dzwonkowski, M., Papaj, M., and Rykaczewski, R., A new Quaternion-based Encryption Method for DICOM Images. IEEE. Trans. Image. Process., 2015. doi:10.1109/TIP.2015.2467317.

    PubMed  Google Scholar 

  23. Hu, J., and Han, F., A pixel-based scrambling scheme for digital medical images protection. J. Netw. Comp. Appl. 32:788–794, 2009. doi:10.1016/j.jnca.2009.02.009.

    Article  Google Scholar 

  24. Al-Haj, A., Abandah, G., and Hussein, N., Crypto-based algorithms for secured medical. IET. Info. Secur. 9:365–373, 2015. doi:10.1049/iet-ifs.2014.0245.

    Article  Google Scholar 

  25. Mantos, P.L.K., and Maglogiannis, I., Sensitive patient data hiding using a ROI reversible steganography scheme for DICOM images. J Med Syst. 40:156, 2016. doi:10.1007/s10916-016-0514-5.

    Article  PubMed  Google Scholar 

  26. Dong, C., Colour image encryption using one-time keys and coupled chaotic systems. Signal. Process. Image. Commun. 29:628–640, 2014. doi:10.1016/j.image.2013.09.006.

    Article  Google Scholar 

  27. Behnia, S., Akhshani, A., Mahmodi, H., and Akhavan, A., A novel algorithm for image encryption based on mixture of chaotic maps. Chaos. Soliton. Fract. 35:408–419, 2008. doi:10.1016/j.chaos.2006.05.011.

    Article  Google Scholar 

  28. Zhang, Q., Guo, L., and Wei, X., Image encryption using DNA addition combining with chaotic maps. Math. Comp. Model. 52(11–12):2028–2035, 2010. doi:10.1016/j.mcm.2010.06.005.

    Article  Google Scholar 

  29. Fu, C., Zhang, G., Bian, O., Lei, W., and Ma, H., A novel medical image protection scheme using a 3-dimensional chaotic system. PLoS. One. 9:e115773, 2014. doi:10.1371/journal.pone.0115773.

    Article  PubMed  PubMed Central  Google Scholar 

  30. Kanso, A., and Ghebleh, M., A novel image encryption algorithm based on a 3D chaotic map. Commun. Nonlinear. Sci. Numer. Simul. 17:2943–2959, 2012. doi:10.1016/j.cnsns.2011.11.030.

    Article  Google Scholar 

  31. Seyedzadeh, S.M., and Mirzakuchaki, S., A fast color image encryption algorithm based on coupled two-dimensinal piecewise chaotic map. Signal. Process. 92:1202–1215, 2012. doi:10.1016/j.sigpro.2011.11.004.

    Article  Google Scholar 

  32. Zhang, S., Gao, T., and Gao, L., A novel encryption frame for medical image with watermark based on hyperchaotic system. Math. Probl. Engg., 2014. doi:10.1155/2014/240749.

    Google Scholar 

  33. Shannon, C.E., A mathematical theory of communication. Bell. Syst. Tech. J. 27:379–423, 1948. doi:10.1002/j.1538-7305.1948.tb01338.x.

    Article  Google Scholar 

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Correspondence to M. Y. Mohamed Parvees.

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This article is part of the Topical Collection on Patient Facing Systems

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Parvees, M.Y.M., Samath, J.A. & Bose, B.P. Secured Medical Images - a Chaotic Pixel Scrambling Approach. J Med Syst 40, 232 (2016). https://doi.org/10.1007/s10916-016-0611-5

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