Skip to main content
Log in

A novel ToCC map and two-level scrambling-based medical image encryption technique

  • Original Article
  • Published:
Network Modeling Analysis in Health Informatics and Bioinformatics Aims and scope Submit manuscript

Abstract

Since the past few decades, various methods for diagnosis of different diseases have been introduced in the area of medical science. One such invention is the use of digital images to detect different types of diseases. Images obtained from X-rays, CT scans and MRI scans are the most common examples. These images contain a lot of data that need protection from unauthorised access. To avoid this unauthorized access, different types of encryption schemes are used. Chaos mechanism has gained popularity because of its randomness and initial sensitivity properties. In this research paper, a new one-dimensional Tangent over Cosine Cosine (ToCC) chaos map along with a two-stage scrambling technique to encrypt medical images is proposed. The method mainly comprises of four phases. First, padding is performed on the input image to hide the original dimension. The second stage involves generation of two different chaotic sequences using the ToCC and Chebyshev-Chebyshev chaotic maps, respectively. In the third stage, modified High-Efficiency Scrambling (mHES) that uses the ToCC chaotic map-generated sequence to perform first level scrambling, is applied. At last, modified Simultaneous Permutation and Diffusion Operation (mSPDO) that exploits the Chebyshev-Chebyshev chaotic map to implement second level scrambling to obtain the final encrypted image is applied. The strength of the proposed chaos map has been checked by plotting Bifurcation Diagram, Lyapunov Exponent and Shannon Entropy metrics. We have also analysed the proposed image encryption scheme using parameters like Unified Averaged Changed Intensity (UACI), Number of Changing Pixel Rate (NPCR), Correlation Coefficient (CC), Avalanche effect, Peak Signal to Noise Ratio (PSNR), and Entropy. The obtained results suggest that the proposed scheme is resistant to various known attacks on medical images.

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

Similar content being viewed by others

References

  • Bentoutou Y, Bensikaddour EH, Taleb N, Bounoua N (2020) An improved image encryption algorithm for satellite applications. Adv Space Res 66(1):176–192

    Article  Google Scholar 

  • Bisht A, Dua M, Dua S (2018) A novel approach to encrypt multiple images using multiple chaotic maps and chaotic discrete fractional random transform. J Ambient Intell Humaniz Comput 10(9):3519–3531. https://doi.org/10.1007/s12652-018-1072-0

    Article  Google Scholar 

  • Bisht A, Dua M, Dua S, Jaroli P (2020) A colour image encryption technique based on bitlevel permutation and alternate logistic maps. J Intell Syst 29(1):1246–1260. https://doi.org/10.1515/jisys-2018-0365

    Article  Google Scholar 

  • Chen SLJ (2002) Parameters identification and synchronization of chaotic systems based upon adaptive control. Phys Lett A 299(4):353–358

    Article  MathSciNet  Google Scholar 

  • Chen G, Mao Y, Chui CK (2004) A symmetric image encryption scheme based on 3D chaotic cat maps. Chaos Solitons Fractals 21(3):749–761

    Article  MathSciNet  Google Scholar 

  • Chen J, Zhu Z, Fu C, Yu H, Zhang Y (2015) Reusing the permutation matrix dynamically for efficient image cryptographic algorithm. Signal Process 111:294–307

    Article  Google Scholar 

  • Devi A, Sharma A, Rangra A (2015) A review on DES, AES and blowfish for image encryption and decryption. Int J Comp Sci Inform Technol 6(3):3034–3036

    Google Scholar 

  • Diab H (2018) An efficient chaotic image cryptosystem based on simultaneous permutation and diffusion operations. IEEE Access 6:42227–42244

    Article  Google Scholar 

  • Dou Y, Li M (2020) Cryptanalysis of a new colour image encryption using combination of the 1D chaotic map. App Sci (switzerland) 10(6):129–137. https://doi.org/10.3390/app10062187

    Article  Google Scholar 

  • Dua M, Wesanekar A, Gupta V, Bhola M, Dua S (2019a) Differential evolution optimization of intertwining logistic map-DNA based image encryption technique. J Ambient Intell Humaniz Comput 1–16:2

    Google Scholar 

  • Dua M, Wesanekar A, Gupta V, Bhola M, Dua S (2019) Colour image encryption using synchronous CML-DNA and weighted bi-objective genetic algorithm. In ACM International Conference Proceeding Series (pp. 121–125). https://doi.org/10.1145/3361758.3361780

  • Dua M, Suthar A, Garg A, Garg V (2021a) An ILM-cosine transform-based improved approach to image encryption. Comp Intell Syst 7(1):327–343

    Article  Google Scholar 

  • Dua M, Dua S, Jaroli P, Bisht A (2021) An improved approach for multiple image encryption using alternate multidimensional chaos and lorenz attractor, In handbook of research on machine learning techniques for pattern recognition and information security, IGI Global, pp 139–156

  • Farah MAB, Farah A, Farah T (2020) An image encryption scheme based on a new hybrid chaotic map and optimized substitution box. Nonlinear Dyn 99(4):3041–3064. https://doi.org/10.1007/s11071-019-05413-8

    Article  Google Scholar 

  • Fridrich J (1998) Symmetric ciphers based on two–dimensional chaotic maps. Int J Bifurcation Chaos 8(6):1259–1284

    Article  MathSciNet  Google Scholar 

  • Friedman M (1937) The use of ranks to avoid the assumption of normality implicit in the analysis of variance. J Am Stat Assoc 32(200):675–701

    Article  Google Scholar 

  • Ghosh G (2021) A systematic review on image encryption techniques. Turk J Comp Math Edu (TURCOMAT) 12(10):3055–3059

    Google Scholar 

  • Gong LH, Du J, Wan J, Zhou NR (2021) Image encryption scheme based on block scrambling, closed-loop diffusion, and dna molecular mutation. Security Commun Net. 2021:1–16

    Google Scholar 

  • Hosseinzadeh R, Zarebnia M, Parvaz R (2019) Hybrid image encryption algorithm based on 3D chaotic system and choquet fuzzy integral. Opt Laser Technol 120:105698. https://doi.org/10.1016/j.optlastec.2019.105698

    Article  Google Scholar 

  • Hua Z, Zhou Y, Huang H (2019) Cosine-transform-based chaotic system for image encryption. Inf Sci 480:403–419

    Article  Google Scholar 

  • Jaroli P, Bisht A, Dua M, Dua S (2018) A colour image encryption using four dimensional differential equations and arnold chaotic map. In: Proceedings of the international conference on inventive research in computing applications, ICIRCA 2018 (pp. 869–876). IEEE. https://doi.org/10.1109/ICIRCA.2018.8597310

  • Kay S, Nagesha V (1995) Methods for chaotic signal estimation. IEEE Trans Signal Process 43(8):2013–2016

    Article  Google Scholar 

  • Kumar A, Dua M (2021) Novel pseudo random key and cosine transformed chaotic maps based satellite image encryption. Multimed Tools Appl 80:1–34

    Article  Google Scholar 

  • Li C, Xie T, Liu Q, Cheng G (2014) Cryptanalyzing image encryption using chaotic logistic map. Nonlinear Dyn 78(2):1545–1551

    Article  Google Scholar 

  • Liu J, Tang S, Lian J, Ma Y, Zhang X (2019) A novel fourth order chaotic system and its algorithm for medical image encryption. Multidim Syst Signal Process 30(4):1637–1657. https://doi.org/10.1007/s11045-018-0622-0

    Article  MATH  Google Scholar 

  • Liu L, Lei Y, Wang D (2020) A fast chaotic image encryption scheme with simultaneous permutation-diffusion operation. IEEE Access 8:27361–27374

    Article  Google Scholar 

  • Midoun MA, Wang X, Talhaoui MZ (2021) A sensitive dynamic mutual encryption system based on a new 1D chaotic map. Optics Lasers Eng 139:106485

    Article  Google Scholar 

  • MRI scan (2013) MRI scan images of patient NM720 uploaded by Penny A Jeggo, available at https://www.researchgate.net/figure/MRI-scan-images-of-patient-NM720-Brain-MRI-in-a-normal-3-year-old-child-A-E-and-in_fig1_236977480

  • Pak C, Huang L (2017) A new colour image encryption using combination of the 1D chaotic map. Signal Process 138:129–137

    Article  Google Scholar 

  • Pareek NK, Patidar V, Sud KK (2006) Image encryption using chaotic logistic map. Image vis Comput 24(9):926–934

    Article  Google Scholar 

  • Patidar V, Pareek NK, Sud KK (2009) A new substitution–diffusion based image cipher using chaotic standard and logistic maps. Commun Nonlinear Sci Numer Simul 14(7):3056–3075

    Article  Google Scholar 

  • Pincus SM (1991) Approximate entropy as a measure of system complexity. Proc Natl Acad Sci 88(6):2297–2301

    Article  MathSciNet  Google Scholar 

  • Ponuma R, Amutha R (2018) Compressive sensing based image compression-encryption using Novel 1D-Chaotic map. Multimed Tools App 77(15):19209–19234. https://doi.org/10.1007/s11042-017-5378-2

    Article  Google Scholar 

  • Roy, M., Chakraborty, S., Mali, K., Roy, D., and Chatterjee, S. (2021). A robust image encryption framework based on DNA computing and chaotic environment. Microsyst Technol. 1–11.

  • Shokouh Saljoughi A, Mirvaziri H (2019) A new method for image encryption by 3D chaotic map. Pattern Anal Appl 22(1):243–257. https://doi.org/10.1007/s10044-018-0765-5

    Article  MathSciNet  Google Scholar 

  • Suneja K, Dua S, Dua M (2019) A review of chaos based image encryption. In Proceedings of the 3rd International Conference on Computing Methodologies and 27 Communication, ICCMC 2019 (pp. 693–698). IEEE. https://doi.org/10.1109/ICCMC.2019.8819860

  • ‘Suppurative cholangitis’ by seow ket tan Uploaded on Nov 14, 2007 and available at https://www.flickr.com/photos/tanseowket/2014758120/in/photostream/

  • Telem ANK, Fotsin HB, Kengne J (2021) Image encryption algorithm based on dynamic DNA coding operations and 3D chaotic systems. Multimed Tools Appl 80:19011–19041

    Article  Google Scholar 

  • Tomography OCT (2018) Labeled Optical Coherence Tomography (OCT) and chest x-ray images for classification by Daniel Kermany, Kang Zhang, Michael Goldbaum available at https://doi.org/10.17632/rscbjbr9sj.2#file-f12eaf6d-6023-432f-acc9-80c9d7393433

  • Wang X-Y, Luan D (2013) A novel image encryption algorithm using chaos and reversible cellular automata. Commun Nonlinear Sci Numer Simul 18(11):3075–3085

    Article  MathSciNet  Google Scholar 

  • Wang B, Wei X, Zhang Q (2013) Cryptanalysis of an image cryptosystem based on logistic map. Optik 124(14):1773–1776

    Article  Google Scholar 

  • Wang X-Y, Gu S-X, Zhang Y-Q (2015) Novel image encryption algorithm based on cycle shift and chaotic system. Opt Lasers Eng 68:126–134

    Article  Google Scholar 

  • Wong KW, Kwok BSH, Law WS (2008) A fast image encryption scheme based on chaotic standard map. Phys Lett 372(15):2645–2652

    Article  Google Scholar 

  • Xiaofu W, Songgeng S (1999) A general efficient method for chaotic signal estimation. IEEE Trans Signal Process 47(5):1424–1428

    Article  Google Scholar 

  • Facial X-ray by Mark Jones uploaded on Feb 18, 2009 available at flickr.com by referring to link-https://bit.ly/38RN4qj

  • Xu L, Li Z, Li J, Hua W (2016) A novel bit-level image encryption algorithm based on chaotic maps. Opt Lasers Eng 78:17–25. https://doi.org/10.1016/j.optlaseng.2015.09.007

    Article  Google Scholar 

  • Zeng J, Wang C (2021) A novel hyperchaotic image encryption system based on particle swarm optimization algorithm and cellular automata. Secur Commun Netw 2021. https://doi.org/10.1155/2021/6675565

  • Zhang W, Yu H, Zhao YL, Zhu ZL (2016) Image encryption based on three dimensional bit matrix Permutation. Signal Process 118:36–50. https://doi.org/10.1016/j.sigpro.2015.06.008

    Article  Google Scholar 

  • Zhu C (2012) A novel image encryption scheme based on improved hyperchaotic sequences. Optics Commun 285(1):29–37

    Article  Google Scholar 

  • Zhu H, Dai L, Liu Y, Wu L (2021) A three-dimensional bit-level image encryption algorithm with Rubik’s cube method. Math Comput Simul 185:754–770

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohit Dua.

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

Pankaj, S., Dua, M. A novel ToCC map and two-level scrambling-based medical image encryption technique. Netw Model Anal Health Inform Bioinforma 10, 48 (2021). https://doi.org/10.1007/s13721-021-00324-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s13721-021-00324-4

Keywords

Navigation