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Chaotic image encryption based on bidimensional empirical mode decomposition and double random phase encoding

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Abstract

In this paper, to enhance the security of double random phase encoding (DRPE), Lorenz system and bidimensional empirical mode decomposition (BEMD) are introduced into an image encryption process. By means of BEMD, the original grayscale image is decomposed into three sub-images, then they are diffused and confused by using the pseudorandom sequences generated by Lorenz system. At last, the three result images are encoded by using DRPE, we obtain the color ciphered image. Thorough experimental tests are carried out with detailed analysis, demonstrating the feasibility and high security of the new scheme.

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References

  1. Arturo C, Mario MU, Sergio A, Ignacio J (2005) Vulnerability to chosen-cyphertext attacks of optical encryption schemes based on double random phase keys. Opt Lett 30(13):1644–1646

    Article  Google Scholar 

  2. Damerval C, Meignen S, Perrier V (2005) A fast algorithm for bidimensional emd. IEEE Signal Processing Letters 12(10):701–704

    Article  Google Scholar 

  3. Frauel Y, Castro A, Thomas N, Javidi B (2007) Resistance of the double random phase encryption against various attacks. Opt Express 15 (16):10253–10265

    Article  Google Scholar 

  4. Gao Z, Guo G (2019) Velocity free leader-follower formation control for autonomous underwater vehicles with line-of-sight range and angle constraints. Inf Sci 486(2019):359–378

    Article  MathSciNet  Google Scholar 

  5. Huang H (2019) Novel scheme for image encryption combining 2d logistic-sine-cosine map and double random-phase encoding. IEEE Access 7(1):177988–177996

    Article  Google Scholar 

  6. Huang H, Yang S, Ye R (2020) Efficient symmetric image encryption by using a novel 2d chaotic system. IET Image Process 14(6):1157–1163

    Article  Google Scholar 

  7. Huang NE, et al. (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series analysis. Proceedings Mathematical Physical & Engineering Sciences 454(1971):903–995

    Article  MathSciNet  MATH  Google Scholar 

  8. Li C, Zhang L, Ou R, Wong K, Shu S (2012) Breaking a novel colour image encryption algorithm based on chaos. Nonlinear Dynamics 70(4):2383–2388

    Article  MathSciNet  Google Scholar 

  9. Liu Z, Li S, Liu W, Wang Y, Liu S (2013) Image encryption algorithm by using fractional fourier transform and pixel scrambling operation based on double random phase encoding. Opt Lasers Eng 51:8–14

    Article  Google Scholar 

  10. Liu H, Wang X (2010) Color image encryption based on one-time keys and robust chaotic maps. Computers & Mathematics with Applications 59(10):3320–3327

    Article  MathSciNet  MATH  Google Scholar 

  11. Liu H, Wang X (2011) Color image encryption using spatial bit-level permutation and high-dimension chaotic system. Opt Commun 284(16-17):3895–3903

    Article  Google Scholar 

  12. Liu H, Wang X, Kadir A (2012) Image encryption using dna complementary rule and chaotic maps. Appl Soft Comput 12(5):1457–1466

    Article  Google Scholar 

  13. Lorenz EN (1963) Deterministic nonperiodic flow. J Atmos Sci 20 (2):130–141

    Article  MathSciNet  MATH  Google Scholar 

  14. Mario P, Thomas H, Stefan K, Andreas U (2018) Depreciating motivation and empirical security analysis of chaos-based image and video encryption. IEEE Trans Inform Forensics Secur 13(9):2137–2150

    Article  Google Scholar 

  15. Matthews R (1989) On the derivation of a chaotic encryption algorithm. Cryptologia 13(1):29–42

    Article  MathSciNet  Google Scholar 

  16. Nan RZ, Tian XH, Li HG, Dong JP, Liao QH (2015) Quantum image encryption based on generalized arnold transform and double random-phase encoding. Quantum Inf Process 14(4):1193–1213

    Article  MathSciNet  MATH  Google Scholar 

  17. Nunes J, Guyot S, Delchelle E (2005) Texture analysis based on local analysis of the bidimensional empirical mode decomposition. Mach Vis Appl 16 (3):177–188

    Article  Google Scholar 

  18. Peng X, Zhang P, Wei H, Yu B (2006) Known-plaintext attack on optical encryption based on double random phase keys. Opt Lett 31(18):1044–1046

    Article  Google Scholar 

  19. Refregier P, Javidi B (1995) Optical image encryption based on input plane and fourier plane random encoding. Opt Lett 20(7):767–769

    Article  Google Scholar 

  20. Seyedzadeh SM, Mirzakuchaki S (2012) A fast color image encryption algorithm based on coupled two-dimensional piecewise chaotic map. SignalProcessing 92:1202–1215

    Google Scholar 

  21. Situ G, Zhang J (2004) Double random-phase encoding in the fresnel domain. Opt Lett 29(14):1584–1586

    Article  Google Scholar 

  22. Taneja N, Raman B, Gupta I (2011) Selective image encryption in fractional wavelet domain. Int J Electron Commun 65(4):338–344

    Article  Google Scholar 

  23. Tao R, Xin Y, Wang Y (2007) Double image encryption based on random phase encoding in the fractional fourier domain. Opt Express 15(24):16067–16079

    Article  Google Scholar 

  24. Wang X, Chen Y, Dai C, Zhao D (2014) Discussion and a new attack of the optical asymmetric cryptosystem based on phase-truncated fourier transform. Appl Opt 53(2):208–213

    Article  Google Scholar 

  25. Wang X, Gao S (2020) Image encryption algorithm for synchronously updating boolean networks based on matrix semi-tensor product theory. Inf Sci 507 (2020):16–36

    MathSciNet  Google Scholar 

  26. Wang X, Gao S (2020) Image encryption algorithm based on the matrix semi-tensor product with a compound secret key produced by a boolean network. Information Sciences. https://doi.org/10.1016/j.ins.2020.06.030

  27. Wang X, Li Z (2019) A color image encryption algorithm based on hopfield chaotic neural network. Opt Lasers Eng 115(2019):107–118

    Article  Google Scholar 

  28. Wang X, Lin T, Xue Q (2012) A novel colour image encryption algorithm based on chaos. Signal Process 92(4):1101–1108

    Article  MathSciNet  Google Scholar 

  29. Wang X, Liu L, Zhang Y (2015) A novel chaotic block image encryption algorithm based on dynamic random growth technique. Optics & Lasers in Engineering 66(66):10–18

    Article  Google Scholar 

  30. Wang X, Luan D (2013) A novel image encryption algorithm using chaos and reversible cellular automata. Communications in Nonlinear Science & Numerical Simulation 18(11):3075–3085

    Article  MathSciNet  MATH  Google Scholar 

  31. Wang B, Sun C, Su W, Chiou A (2000) Shift-tolerance property of an optical double-random phase-encoding encryption system. Appl Opt 39 (26):4788–4793

    Article  Google Scholar 

  32. Wang X, Yang L, Liu R, Kadir A (2010) A chaotic image encryption algorithm based on perceptron model. Nonlinear Dynamics 62(3):615–621

    Article  MathSciNet  MATH  Google Scholar 

  33. Wang X, Zhang Y, Bao X (2015) A novel chaotic image encryption scheme using dna sequence operations. Optics & Lasers in Engineering 73:53–61

    Article  Google Scholar 

  34. Wei H, Peng X, Zhang P, Liu H, Feng S (2007) Chosen-plaintext attack on double phaseo encoding encryption technique. Acta Opt Sin 55 (3):824–829

    Google Scholar 

  35. Xu G, Wang X, Xu X (2009) Improved bi-dimensional emd and Hilbert spectrum for the analysis of textures. Pattern Recogn 42(5):718–734

    Article  MATH  Google Scholar 

  36. Xu G, Wang X, Xu X (2011) Improved bi-dimensional empirical mode decomposition based on 2d-assisted signals: analysis and application. IET Image Process 5(3):205–221

    Article  MathSciNet  Google Scholar 

  37. Zhang Y, Wang X (2014) A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice. Inf Sci 273(8):329–351

    Article  Google Scholar 

  38. Zhang Y, Wang X (2015) A new image encryption algorithm based on non-adjacent coupled map lattices. Appl Soft Comput 26:10–20

    Article  Google Scholar 

  39. Zhang Q, Wei X (2014) A novel image fusion encryption algorithm based on dna sequence operation and hyper-chaotic system. Journal of Systems & Software 85(2):290–299

    Google Scholar 

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Acknowledgments

The authors would like to thank the support from the National Natural Science Foundation of China (Grant No. 11071152, 11601188), the Natural Science Foundation of Guangdong Province (Grant No. 2018A030307024, 2018A0303100016), the Key Research Platform and Research Project of Universities in Guangdong Province (Grants Nos. 2018KQNCX244) and the Characteristic Innovation Project from the Educational Department of Guangdong Province (Grant nos. 2019KTSCX168).

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Correspondence to Huiqing Huang.

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Huang, H., He, Y., Yang, S. et al. Chaotic image encryption based on bidimensional empirical mode decomposition and double random phase encoding. Multimed Tools Appl 79, 28065–28078 (2020). https://doi.org/10.1007/s11042-020-09378-4

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  • DOI: https://doi.org/10.1007/s11042-020-09378-4

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