A Hybrid Domain Medical Image Encryption Scheme Using URUK and WAM Chaotic Maps with Wavelet – Fourier Transforms

Authors

  • Ali Akram Abdul-Kareem Iraqi Commission for Computers and Informatics, Informatics Institute for Postgraduate Studies, Baghdad, Iraq https://orcid.org/0000-0003-1995-3218
  • Waleed Ameen Mahmoud Al-Jawher Uruk University, Baghdad, Iraq

DOI:

https://doi.org/10.13052/jcsm2245-1439.1241

Keywords:

Cryptographic algorithms, Encoding, chaos, Arnold transform, Magic Square

Abstract

Image encryption is one of the most important techniques to maintain data confidentiality against illegal access and fraudulent usage. In this study, a new medical image encryption technique was developed by combining the discrete wavelet transform, the fast Fourier transform, the Arnold transform, and two multidimensional chaotic systems. The medical image is subjected to a discrete wavelet transform before the magic square shuffles the image sub-bands. Confusion operations are performed on each scrambled subdomain using the Uruk 4D chaotic system. To increase randomness and unpredictability, a second stage of confusion is implemented in the domain of the Fast Fourier transform using the Arnold transform. The final encrypted image is obtained utilizing secret keys derived from the WAM 3D chaotic system. In particular, the initial conditions for chaotic systems are derived from grayscale values, thereby increasing the algorithm’s sensitivity to the input image. The results of the tests and the security analysis indicate that the proposed algorithm is exceptionally reliable and secure.

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Author Biographies

Ali Akram Abdul-Kareem, Iraqi Commission for Computers and Informatics, Informatics Institute for Postgraduate Studies, Baghdad, Iraq

Ali Akram Abdul-Kareem earned a Bachelor from Middle Technical University in Baghdad, Iraq, in 2011 and a Master of Science in Computer Science from Middle East University in Amman, Jordan, in 2016. Currently, he is a Ph.D. candidate at the Iraqi Commission for Computers and Informatics, Information Institute for Postgraduate Studies in Baghdad, Iraq, and a Computer Programmer at Al Rafidain Bank in Baghdad, Iraq. He has more than ten years of experience implementing banking information systems projects. His research interests are image encryption, chaos, compressive sensing, and optimization algorithms.

Waleed Ameen Mahmoud Al-Jawher, Uruk University, Baghdad, Iraq

Waleed Ameen Mahmoud Al-Jawher: President Assistance for scientific Affairs, University of Uruk, Iraq. He received a School of Research in Digital Signal Processing (2005). He received his Ph.D. in Digital Signal Processing from University of Wales, United Kingdom (1986). He has a teaching experience in Computer Science and Communication engineering for 44 years. A total of (15) National Awards. He Published over (290) papers, Supervised more than (210) MSc and PhD Students. He was the First professor Award of University of Baghdad, Iraq. His present areas of research interest are the field of Digital Signal Processing and their applications.

References

F. Masood, M. Driss, W. Boulila, J. Ahmad, S. U. Rehman, S. U. Jan, A. Qayyum, W. J. Buchanan. “A Lightweight Chaos-Based Medical Image Encryption Scheme Using Random Shuffling and XOR Operations,” Wireless Personal Communications, May 2021, Published, doi: 10.1007/s11277-021-08584-z.

W. El-Shafai, F. Khallaf, E.-S. M. El-Rabaie, and F. E. A. El-Samie, “Robust medical image encryption based on DNA-chaos cryptosystem for secure telemedicine and healthcare applications,” Journal of Ambient Intelligence and Humanized Computing, vol. 12, no. 10, pp. 9007–9035, Mar. 2021, doi: 10.1007/s12652-020-02597-5.

M. Boussif, N. Aloui, and A. Cherif, “Securing DICOM images by a new encryption algorithm using Arnold transform and Vigenère cipher,” IET Image Processing, vol. 14, no. 6, pp. 1209–1216, Apr. 2020, doi: 10.1049/iet-ipr.2019.0042.

A. Pourjabbar Kari, A. Habibizad Navin, A. M. Bidgoli, and M. Mirnia, “A new image encryption scheme based on hybrid chaotic maps,” Multimedia Tools and Applications, vol. 80, no. 2, pp. 2753–2772, Sep. 2020, doi: 10.1007/s11042-020-09648-1.

H. A. Abdullah, H. N. Abdullah, and W. A. Mahmoud Al-Jawher, “A hybrid chaotic map for communication security applications,” International Journal of Communication Systems, vol. 33, no. 4, p. e4236, Nov. 2019, doi: 10.1002/dac.4236.

A. B. Joshi, D. Kumar, D. C. Mishra, and V. Guleria, “Colour-image encryption based on 2D discrete wavelet transform and 3D logistic chaotic map,” Journal of Modern Optics, vol. 67, no. 10, pp. 933–949, Jun. 2020, doi: 10.1080/09500340.2020.1789233.

A. Shafique, J. Ahmed, M. U. Rehman, and M. M. Hazzazi, “Noise-Resistant Image Encryption Scheme for Medical Images in the Chaos and Wavelet Domain,” IEEE Access, vol. 9, pp. 59108–59130, 2021, doi: 10.1109/access.2021.3071535.

D. Ravichandran, P. Praveenkumar, J. B. Balaguru Rayappan, and R. Amirtharajan, “Chaos based crossover and mutation for securing DICOM image,” Computers in Biology and Medicine, vol. 72, pp. 170–184, May 2016, doi: 10.1016/j.compbiomed.2016.03.020.

M. Guan, X. Yang, and W. Hu, “Chaotic image encryption algorithm using frequency-domain DNA encoding,” IET Image Processing, vol. 13, no. 9, pp. 1535–1539, Jun. 2019, doi: 10.1049/iet-ipr.2019.0051.

S. Kumar, B. Panna, and R. K. Jha, “Medical image encryption using fractional discrete cosine transform with chaotic function,” Medical & Biological Engineering & Computing, vol. 57, no. 11, pp. 2517–2533, Sep. 2019, doi: 10.1007/s11517-019-02037-3.

A. Banu S and R. Amirtharajan, “A robust medical image encryption in dual domain: chaos-DNA-IWT combined approach,” Medical & Biological Engineering & Computing, vol. 58, no. 7, pp. 1445–1458, Apr. 2020, doi: 10.1007/s11517-020-02178-w.

S. Jeevitha and N. Amutha Prabha, “Novel medical image encryption using DWT block-based scrambling and edge maps,” Journal of Ambient Intelligence and Humanized Computing, vol. 12, no. 3, pp. 3373–3388, Aug. 2020, doi: 10.1007/s12652-020-02399-9.

D. Ravichandran, A. Banu S, B. K. Murthy, V. Balasubramanian, S. Fathima, and R. Amirtharajan, “An efficient medical image encryption using hybrid DNA computing and chaos in transform domain,” Medical & Biological Engineering & Computing, vol. 59, no. 3, pp. 589–605, Feb. 2021, doi: 10.1007/s11517-021-02328-8.

W. El-Shafai, F. Khallaf, E.-S. M. El-Rabaie, and F. E. A. El-Samie, “Robust medical image encryption based on DNA-chaos cryptosystem for secure telemedicine and healthcare applications,” Journal of Ambient Intelligence and Humanized Computing, vol. 12, no. 10, pp. 9007–9035, Mar. 2021, doi: 10.1007/s12652-020-02597-5.

X. Meng, J. Li, X. Di, Y. Sheng, and D. Jiang, “An Encryption Algorithm for Region of Interest in Medical DICOM Based on One-Dimensional eλ

-cos-cot Map,” Entropy, vol. 24, no. 7, p. 901, Jun. 2022, doi: 10.3390/e24070901.

L. Debnath and F. A. Shah, “Lecture Notes on Wavelet Transforms,” Compact Textbooks in Mathematics, 2017, Published, doi: 10.1007/978-3-319-59433-0.

Brunton, S., & Kutz, J. “Fourier and Wavelet Transforms,” Data-Driven Science and Engineering, pp. 47–83, Jan. 2019, doi: 10.1017/9781108380690.003.

A. A. Abdul-Kareem and W. A. Mahmoud Al-Jawher, “URUK 4D Discrete Chaotic Map for Secure Communication Applications,” Journal Port Science Research, vol. 5, no. 3, pp. 131–142, Oct. 2022, doi: 10.36371/port.2022.3.2.

Ali Akram Abdul-Kareem, Prof. Waleed Ameen Mahmoud Al-Jawher (2022) “WAM 3D Discrete Chaotic Map for Secure Communication Applications”, International Laser Technology and Optics Symposium 2022 (iLATOS2022) that will be held on 21st and 22nd of September 2022.

W.-W. Hu, R.-G. Zhou, J. Luo, S.-X. Jiang, and G.-F. Luo, “Quantum image encryption algorithm based on Arnold scrambling and wavelet transforms,” Quantum Information Processing, vol. 19, no. 3, Jan. 2020, doi: 10.1007/s11128-020-2579-9.

V. Guleria, S. Sabir, and D. C. Mishra, “Security of multiple RGB images by RSA cryptosystem combined with FrDCT and Arnold transform,” Journal of Information Security and Applications, vol. 54, p. 102524, Oct. 2020, doi: 10.1016/j.jisa.2020.102524.

J. Wang and L. Liu, “A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing,” Mathematics, vol. 10, no. 3, p. 457, Jan. 2022, doi: 10.3390/math10030457.

Z. Bashir, N. Iqbal, and M. Hanif, “A novel gray scale image encryption scheme based on pixels’ swapping operations,” Multimedia Tools and Applications, vol. 80, no. 1, pp. 1029–1054, Sep. 2020, doi: 10.1007/s11042-020-09695-8.

L. S. Khan, M. M. Hazzazi, M. Khan, and S. S. Jamal, “A novel image encryption based on rossler map diffusion and particle swarm optimization generated highly non-linear substitution boxes,” Chinese Journal of Physics, vol. 72, pp. 558–574, Aug. 2021, doi: 10.1016/j.cjph.2021.03.029.

O. A. Kozhemyak and O. V. Stukach, “Reducing the Root-Mean-Square Error at Signal Restoration using Discrete and Random Changes in the Sampling Rate for the Compressed Sensing Problem,” 2021 International Siberian Conference on Control and Communications (SIBCON), May 2021, Published, doi: 10.1109/sibcon50419.2021.9438937.

N. Khalil, A. Sarhan, and M. A. M. Alshewimy, “An efficient color/grayscale image encryption scheme based on hybrid chaotic maps,” Optics & Laser Technology, vol. 143, p. 107326, Nov. 2021, doi: 10.1016/j.optlastec.2021.107326.

M. Ghazvini, M. Mirzadi, and N. Parvar, “A modified method for image encryption based on chaotic map and genetic algorithm,” Multimedia Tools and Applications, vol. 79, no. 37–38, pp. 26927–26950, Jun. 2020, doi: 10.1007/s11042-020-09058-3.

Y. Luo, Y. Liang, S. Zhang, J. Liu, and F. Wang, “An image encryption scheme based on block compressed sensing and Chen system?,” May 2022, Published, doi: 10.21203/rs.3.rs-1604114/v1.

Q. Xu, K. Sun, C. Cao, and C. Zhu, “A fast image encryption algorithm based on compressive sensing and hyperchaotic map,” Optics and Lasers in Engineering, vol. 121, pp. 203–214, Oct. 2019, doi: 10.1016/j.optlaseng.2019.04.011.

H. Hu, Y. Cao, J. Xu, C. Ma, and H. Yan, “An Image Compression and Encryption Algorithm Based on the Fractional-Order Simplest Chaotic Circuit,” IEEE Access, vol. 9, pp. 22141–22155, 2021, doi: 10.1109/access.2021.3054842.

K. Wang, X. Wu, and T. Gao, “Double color images compression–encryption via compressive sensing,” Neural Computing and Applications, vol. 33, no. 19, pp. 12755–12776, Jun. 2021, doi: 10.1007/s00521-021-05921-y.

M. U. Rehman, A. Shafique, S. Khalid, and I. Hussain, “Dynamic Substitution and Confusion-Diffusion-Based Noise-Resistive Image Encryption Using Multiple Chaotic Maps,” IEEE Access, vol. 9, pp. 52277–52291, 2021, doi: 10.1109/access.2021.3069591.

M. Hanif, R. A. Naqvi, S. Abbas, M. A. Khan, and N. Iqbal, “A Novel and Efficient 3D Multiple Images Encryption Scheme Based on Chaotic Systems and Swapping Operations,” IEEE Access, vol. 8, pp. 123536–123555, 2020, doi: 10.1109/access.2020.3004536.

S. Patel, V. Thanikaiselvan, D. Pelusi, B. Nagaraj, R. Arunkumar, and R. Amirtharajan, “Colour image encryption based on customized neural network and DNA encoding,” Neural Computing and Applications, vol. 33, no. 21, pp. 14533–14550, May 2021, doi: 10.1007/s00521-021-06096-2.

J. Chandrasekaran and S. J. Thiruvengadam, “A Hybrid Chaotic and Number Theoretic Approach for Securing DICOM Images,” Security and Communication Networks, vol. 2017, pp. 1–12, 2017, doi: 10.1155/2017/6729896.

H. Nematzadeh, R. Enayatifar, H. Motameni, F. G. Guimarães, and V. N. Coelho, “Medical image encryption using a hybrid model of modified genetic algorithm and coupled map lattices,” Optics and Lasers in Engineering, vol. 110, pp. 24–32, Nov. 2018, doi: 10.1016/j.optlaseng.2018.05.009.

K. N. Singh, O. P. Singh, A. K. Singh, and A. K. Agrawal, “EiMOL: A Secure Medical Image Encryption Algorithm based on Optimization and the Lorenz System,” ACM Transactions on Multimedia Computing, Communications, and Applications, Sep. 2022, Published, doi: 10.1145/3561513.

Y. Pourasad, R. Ranjbarzadeh, and A. Mardani, “A New Algorithm for Digital Image Encryption Based on Chaos Theory,” Entropy, vol. 23, no. 3, p. 341, Mar. 2021, https://doi:10.3390/e23030341.

X. Wang, N. Guan, and J. Yang, “Image encryption algorithm with random scrambling based on one-dimensional logistic self-embedding chaotic map,” Chaos, Solitons & Fractals, vol. 150, p. 111117, Sep. 2021, doi: 10.1016/j.chaos.2021.111117.

A. Shafique and F. Ahmed, “Image Encryption Using Dynamic S-Box Substitution in the Wavelet Domain,” Wireless Personal Communications, vol. 115, no. 3, pp. 2243–2268, Aug. 2020, doi: 10.1007/s11277-020-07680-w.

H. Wen et al., “Design and Embedded Implementation of Secure Image Encryption Scheme Using DWT and 2D-LASM,” Entropy, vol. 24, no. 10, p. 1332, Sep. 2022, doi: 10.3390/e24101332.

A. Momeni Asl, A. Broumandnia, and S. J. Mirabedini, “Scale Invariant Digital Color Image Encryption Using a 3D Modular Chaotic Map,” IEEE Access, vol. 9, pp. 102433–102449, 2021, doi: 10.1109/access.2021.3096224.

Ö. Kasim, “Secure medical image encryption with Walsh–Hadamard transform and lightweight cryptography algorithm,” Medical & Biological Engineering & Computing, vol. 60, no. 6, pp. 1585–1594, Apr. 2022, doi: 10.1007/s11517-022-02565-5.

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Published

2023-06-30

How to Cite

1.
Abdul-Kareem AA, Al-Jawher WAM. A Hybrid Domain Medical Image Encryption Scheme Using URUK and WAM Chaotic Maps with Wavelet – Fourier Transforms. JCSANDM [Internet]. 2023 Jun. 30 [cited 2024 Sep. 12];12(04):435-64. Available from: https://journals.riverpublishers.com/index.php/JCSANDM/article/view/19037

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