Cover
Vol. 20 No. 2 (2024)

Published: December 31, 2024

Pages: 165-181

Original Article

Design of High-Secure Digital/Optical Double Color Image Encryption Assisted by 9D Chaos and DnCNN

Abstract

With the rapid development of multimedia technology, securing the transfer of images becomes an urgent matter. Therefore, designing a high-speed/secure system for color images is a real challenge. A nine-dimensional (9D) chaotic- based digital/optical encryption schem is proposed for double-color images in this paper. The scheme consists of cascaded digital and optical encryption parts. The nine chaotic sequences are grouped into three sets, where each set is responsible for encryption one of the RGB channels independently. One of them controls the fusion, XOR operation, and scrambling-based digital part. The other two sets are used for controlling the optical part by constructing two independent chaotic phase masks in the optical Fourier transforms domain. A denoising convolution neural network (DnCNN) is designed to enhance the robustness of the decrypted images against the Gaussian noise. The simulation results prove the robustness of the proposed scheme as the entropy factor reaches an average of 7.997 for the encrypted color lena-baboon images with an infinite peak signal-to-noise ratio (PSNR) for the decrypted images. The designed DnCNN operates efficiently with the proposed encryption scheme as it enhances the performance against the Gaussian noise, where the PSNR of the decrypted Lena image is enhanced from 27.01 dB to 32.56 dB after applying the DnCNN.

References

  1. M. Z. J. Wei and X. Tong, “Multi-image compres- sion–encryption algorithm based on compressed sensing and optical encryption,” Entropy, vol. 24, no. 784, pp. 1– 22, 2022.
  2. C. Z. H. Wen and et al, “Secure optical image com- munication using double random transformation and memristive chaos,” IEEE Photonics Journal, vol. 15, no. 1, pp. 1–11, 2023.
  3. G. S. Yadav, “A genetic algorithm based image steganog- raphy scheme with high embedding capacity and low distortion,” Imaging Science Journal, vol. 69, no. 4, pp. 143–152, 2023.
  4. Z. A. Abduljabbar and et al, “Provably secure and fast color image encryption algorithm based on s-boxes and hyperchaotic map,” IEEE Access, vol. 10, pp. 26257– 26270, 2022.
  5. O. S. Faragallah and et al, “Efficient and secure opto- cryptosystem for color images using 2d logistic-based fractional fourier transform,” Optics and Lasers in Engi- neering, vol. 137, no. 106333, pp. 1–15, 2021.
  6. I. Khalid and et al, “An integrated image encryption scheme based on elliptic curve,” IEEE Access, vol. 11, p. 5483–5501, 2022.
  7. S. S. Yu and et al, “Optical image encryption algorithm based on phase-truncated short-time fractional fourier transform and hyper-chaotic system,” Optics and Lasers in Engineering, vol. 124, no. 105816, pp. 1–11, 2020.
  8. A. Hazer and R. Yildirim, “A review of single and mul- tiple optical image encryption techniques,” Journal of Optics (United Kingdom), vol. 23, no. 113501, pp. 1–93, 2021.
  9. M. Rezai and J. A. Salehi, “Fundamentals of quantum fourier optics,” IEEE Transactions on Quantum Engi- neering, vol. 4, pp. 1–22, 2022.
  10. Q. Zhou and et al, “Optical image encryption based on two-channel detection and deep learning,” Optics and Lasers in Engineering, vol. 162, no. 107415, 2022.
  11. Y. Zhao and et al, “High-precision calibration of phase- only spatial light modulators,” IEEE Photonics Journal, vol. 14, no. 7402508, pp. 1–8, 2022.
  12. M. W. W. Zhou, X. Wang and D. Li, “A new combina- tion chaotic system and its application in a new bit-level image encryption scheme,” Optics and Lasers in Engi- neering, vol. 149, no. 106782, 2022.
  13. O. S. Faragallah and et al, “Secure color image cryp- tosystem based on chaotic logistic in the frft domain,” Multimedia Tools and Applications, vol. 79, no. 3-4, p. 2495–2519, 2020.
  14. A. B. J. D. Kumar and V. N. Mishra, “Optical and digital double color-image encryption algorithm using 3d chaotic map and 2d-multiple parameter fractional discrete cosine transform,” Results in Optics, vol. 1, no. 100031, p. 1–16, 2020.
  15. Z. Man and et al, “Double image encryption algorithm based on neural network and chaos,” Chaos, Solitons and Fractals, vol. 152, no. 111318, pp. 1–16, 2021.
  16. P. Tian and R. Su, “A novel virtual optical image en- cryption scheme created by combining chaotic s-box with double random phase encoding,” Sensors, vol. 22, no. 5325, p. 1–24, 2022.
  17. M. R. Abuturab and A. Alfalou, “Multiple color im- age fusion, compression, and encryption using compres- sive sensing, chaotic-biometric keys, and optical frac- tional fourier transform,” Optics and Laser Technology, vol. 151, no. 108071, pp. 1–13, 2022.
  18. K. Ahmadi and A. Carnicer, “Optical visual encryption using focused beams and convolutional neural networks,” Optics and Lasers in Engineering, vol. 161, no. 107321, 2023.
  19. K. C. A. K. Singh and A. Singh, “An image security model based on chaos and dna cryptography for iiot images,” IEEE Transactions on Industrial Informatics, vol. 19, no. 2, p. 1957–1964, 2022.
  20. D. Huo and et al, “Multiple-image encryption scheme via compressive sensing and orthogonal encoding based on double random phase encoding,” Journal of Modern Optics, vol. 65, no. 18, p. 2093–2102, 2018.
  21. X. W. L. J. Chen and Q. H. Wang, “Deep learning for improving the robustness of image encryption,” IEEE Access, vol. 7, p. 181083–181091, 2019.
  22. M. Liao and et al, “Deep-learning-based ciphertext- only attack on optical double random phase encryption,” Opto-Electronic Advances, vol. 4, no. 5, p. 1–12, 2021.
  23. J. W. R. Ni, F. Wang and Y. Hu, “Multi-image encryption based on compressed sensing and deep learning in opti- cal gyrator domain,” IEEE Photonics Journal, vol. 13, no. 3076480, p. 1–16, 2021. 181 | Muttashar & Fyath
  24. R. Zhang and D. Xiao, “Double image encryption scheme based on compressive sensing and double ran- dom phase encoding,” Mathematics, vol. 10, no. 8, p. 1–23, 2022.
  25. Q. Zhang and J. Li, “Single exposure phase-only optical image encryption and hiding method via deep learning,” IEEE Photonics Journal, vol. 14, no. 7813508, p. 1–8, 2022.
  26. P. Reiterer and et al, “A nine-dimensional lorenz system to study high-dimensional chaos,” Journal of Physics A: Mathematical and General, vol. 31, no. 34, pp. 7121– 7139, 1998.
  27. N. K. Nishchal, Optical cryptosystems. IOP Publishing, 2019.
  28. M. Khan and F. Masood, “A novel chaotic image en- cryption technique based on multiple discrete dynami- cal maps,” Multimedia Tools and Applications, vol. 78, pp. 26203–26222, 2019.