Skip to main content

Advertisement

Springer Nature Link
Log in

Color image encryption method based on 2D-variational mode decomposition

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

In order to reduce the correlation between adjacent pixels in a plaintext image, and to solve the small key space problem of image encryption algorithms when a low-dimension chaotic map is used, a new encryption method for color images is proposed based on two-dimensional variational mode decomposition (2D-VMD) combined with eight-dimensional (8D) hyper-chaotic systems. 2D-VMD decomposes R, G and B components of a color image respectively. The 8D hyper-chaotic system is constructed by means of variable coupling. After improving and combining the original sequences obtained by iterating the system, two groups of key sequences associated with the plain-image are obtained. One group is used to scramble each mode image obtained by 2D-VMD; the other is used to replace the pixel values of the scrambled mode images. For different mode images, different key sequences are adopted. The encrypted images whose number is equal to the number of the modes can then be obtained. The experimental results show that, compared with the existing methods, the correlation coefficients between the pixels in the spatial domain of the plain-image can be reduced by 2D-VMD, as it’s more difficult to crack. In addition, the encryption method has better statistical and differential characteristics, as well as large enough key space, and better plain-image sensitivity.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Abdurahman K, Askar H, Guo WQ (2014) Color image encryption using skew tent map and hyper chaotic system of 6th-order CNN. Optik-Int J Light Electron Optics 125(5):1671–1675

    Article  Google Scholar 

  2. Bassham LE III, Andrew R, Juan S et al. (2010) A statistical test suite for random and pseudorandom number generators for cryptographic applications. Technical report SP 800-22, National Institute of standards & Technology

  3. Dragomiretskiy K, Zosso D (2015) two-dimensional Variational mode decomposition. 10th international conference, EMMCVPR 2015, Hong Kong, China

  4. Gao TG, Chen ZQ (2008) A new image encryption algorithm based on hyper-chaos. Phys Lett A 372(4):394–400

    Article  MATH  Google Scholar 

  5. García-martínez M, Ontañón-garcía LJ, Campos-cantón E (2015) Hyperchaotic encryption based on multi-scroll piecewise linear systems. Appl Mathe Comput 270:413–424

    Article  MathSciNet  MATH  Google Scholar 

  6. Gu G, Ling J (2014) A fast image encryption method by using chaotic 3D cat maps. Optik-Int J Light Electron Optics 125(17):4700–4705

    Article  Google Scholar 

  7. He YT, Huang HQ (2016) Chaotic encryption algorithm of digital image based on EMD. J Ningxia Univ: Nat Sci Ed 37(4):424–428

    MATH  Google Scholar 

  8. Hsiao HI, Lee J (2015) Fingerprint image cryptography based on multiple chaotic systems. Signal Process 113:169–181

    Article  Google Scholar 

  9. Hua ZY, Zhou YC (2016) Image encryption using 2D logistic-adjusted-sine map. Inform Sci Int J 339:237–253

    Article  Google Scholar 

  10. Li CQ, Liu YS, Xie T (2013) Breaking a novel image encryption scheme based on improved hyperchaotic sequences. Nonlinear Dynam 73(3):2083–2089

    Article  MathSciNet  MATH  Google Scholar 

  11. Liu ZJ, Xu L, Liu T (2011) Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains. Opt Commun 284(1):123–128

    Article  Google Scholar 

  12. Liu Q, Li P, Zhang M (2015) A novel image encryption algorithm based on chaos maps with Markov properties. Commun Nonlinear Sci Numer Simul 20(2):506–515

    Article  MATH  Google Scholar 

  13. Liu WH, Sun KH, Zhu CX (2016) A fast image encryption algorithm based on chaotic map. Optics Lasers Eng 84:26–36

    Article  Google Scholar 

  14. Lü J, Zhang BY, Zhu JL (2013) Four-dimensional secondary Hyperchaotic system and its hardware implementation. J Harbin Univ Sci Technol 18(1):95–98

    Google Scholar 

  15. Mao Y, Chen G, Lian S (2004) A novel fast image encryption scheme based on 3D chaotic baker maps. Int J Bifurcation Chaos 14(10):3613–3624

    Article  MathSciNet  MATH  Google Scholar 

  16. Özkaynak F, Özer AB, Yavuz S (2012) Cryptanalysis of a novel image encryption scheme based on improved hyperchaotic sequences. Opt Commun 285(24):4946–4948

    Article  Google Scholar 

  17. Rhouma R, Safya B (2008) Cryptanalysis of a new image encryption algorithm based on hyper-chaos. Phys Lett A 372(33):5973–5978

    Article  MATH  Google Scholar 

  18. Sui LS, Xin MT, Tian AL (2013) Single-channel color image encryption using phase retrieve algorithm in fractional Fourier domain. Optics Lasers Eng 51(12):1297–1309

    Article  Google Scholar 

  19. Tedmori S, Al-najdawi N (2014) Image cryptographic algorithm based on the Haar wavelet transform. Inf Sci 269(11):21–34

    Article  MathSciNet  MATH  Google Scholar 

  20. Wang XY, Wang Q (2014) A novel image encryption algorithm based on dynamic S-boxes constructed by chaos. Nonlinear Dynam 75(3):567–576

    Article  Google Scholar 

  21. Wang XY, Xu DH (2014) Image encryption using genetic operators and intertwining logistic map. Nonlinear Dynam 78(4):2975–2984

    Article  MathSciNet  Google Scholar 

  22. Wang W, Tan HY, Pang Y (2016) A novel encryption algorithm based on DWT and multichaos mapping. J Sensors 2016(5):1–7

    Google Scholar 

  23. Ye GD (2014) A block image encryption algorithm based on wave transmission and chaotic systems. Nonlinear Dyn 75(3):417–427

    Article  Google Scholar 

  24. Zhang Q, Guo L, Wei X (2013) A novel image fusion encryption algorithm based on DNA sequence operation and hyper-chaotic system. Optik-Int J Light Electron Optics 124(18):3596–3600

    Article  Google Scholar 

  25. Zhang W, Yu H, Zhao Y, Zhu Z (2016) Image encryption based on three-dimensional bit matrix permutation. Signal Process 118:36–50

    Article  Google Scholar 

  26. Zhu CX (2012) A novel image encryption scheme based on improved hyperchaotic sequences. Opt Commun 285(1):29–37

    Article  Google Scholar 

Download references

Acknowledgements

This research is supported by The Natural Science Foundation of Heilongjiang Province (Grant No. QC2014C075), University Nursing Program for Young Scholars with Creative Talents in Heilongjiang Province (Grant No. UNPYSCT-2017091), and Program for the Top Young Innovative Talents of Harbin University of Science and Technology (Grant No. 201511).

Author information

Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Harbin University of Science and Technology, No. 52, Xuefu Road, Nangang District, Harbin, 150080, People’s Republic of China

    Shouqiang Kang, Yaqi Liang & Yujing Wang

  2. Radiophysics and Electronic Department, Belarusian State University, 220030, Minsk, Belarus

    Mikulovich V I

Authors
  1. Shouqiang Kang
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Yaqi Liang
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. Yujing Wang
    View author publications

    You can also search for this author inPubMed Google Scholar

  4. Mikulovich V I
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Yujing Wang.

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

Kang, S., Liang, Y., Wang, Y. et al. Color image encryption method based on 2D-variational mode decomposition. Multimed Tools Appl 78, 17719–17738 (2019). https://doi.org/10.1007/s11042-018-7129-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-018-7129-4

Keywords