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01.12.2017 | 3DR Express

Phase-Image Encryption Based on 3D-Lorenz Chaotic System and Double Random Phase Encoding

verfasst von: Neha Sharma, Indu Saini, AK Yadav, Phool Singh

Erschienen in: 3D Research | Ausgabe 4/2017

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Abstract

In this paper, an encryption scheme for phase-images based on 3D-Lorenz chaotic system in Fourier domain under the 4f optical system is presented. The encryption scheme uses a random amplitude mask in the spatial domain and a random phase mask in the frequency domain. Its inputs are phase-images, which are relatively more secure as compared to the intensity images because of non-linearity. The proposed scheme further derives its strength from the use of 3D-Lorenz transform in the frequency domain. Although the experimental setup for optical realization of the proposed scheme has been provided, the results presented here are based on simulations on MATLAB. It has been validated for grayscale images, and is found to be sensitive to the encryption parameters of the Lorenz system. The attacks analysis shows that the key-space is large enough to resist brute-force attack, and the scheme is also resistant to the noise and occlusion attacks. Statistical analysis and the analysis based on correlation distribution of adjacent pixels have been performed to test the efficacy of the encryption scheme. The results have indicated that the proposed encryption scheme possesses a high level of security.

Vorheriger Artikel 3-D Image Encryption Based on Rubik’s Cube and RC6 Algorithm

Nächster Artikel Cryptanalysis and Improvement of an Image Encryption Scheme Using Fourier Series

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Abd-El-Hafiz, S. K., AbdElHaleem, S. H., & Radwan, A. G. (2016). Novel permutation measures for image encryption algorithms. Optics and Lasers in Engineering, 85, 72–83. https://doi.org/10.1016/j.optlaseng.2016.04.023.CrossRef

Abundiz-Pérez, F., Cruz-Hernández, C., Murillo-Escobar, M. A., López-Gutiérrez, R. M., & Arellano-Delgado, A. (2016). A fingerprint image encryption scheme based on hyperchaotic rössler map. Mathematical Problems in Engineering, 2016, 1–15. https://doi.org/10.1155/2016/2670494.CrossRef

Alvarez, G., & Li, S. (2006). Some basic cryptographic requirements for chaos-based cryptosystems. International Journal of Bifurcation and Chaos, 16(08), 2129–2151.MathSciNetCrossRefMATH

Anees, A. (2015). An image encryption scheme based on lorenz system for low profile applications. 3D Research, 6(3), 24. https://doi.org/10.1007/s13319-015-0059-2.CrossRef

Belazi, A., Abd El-Latif, A. A., & Belghith, S. (2016). A novel image encryption scheme based on substitution-permutation network and chaos. Signal Processing, 128, 155–170. https://doi.org/10.1016/j.sigpro.2016.03.021.CrossRef

Belazi, A., Abd El-Latif, A. A., Diaconu, A.-V., Rhouma, R., & Belghith, S. (2017). Chaos-based partial image encryption scheme based on linear fractional and lifting wavelet transforms. Optics and Lasers in Engineering, 88, 37–50. https://doi.org/10.1016/j.optlaseng.2016.07.010.CrossRef

Belokolos, E. D., Kharchenko, V. O., & Kharchenko, D. O. (2009). Chaos in a generalized Lorenz system. Chaos, Solitons & Fractals, 41(5), 2595–2605. https://doi.org/10.1016/j.chaos.2008.09.049.CrossRefMATH

Chen, W., Javidi, B., & Chen, X. (2014). Advances in optical security systems. Advances in Optics and Photonics, 6(2), 120–155. https://doi.org/10.1364/AOP.6.000120.CrossRef

10.

Chen, L., & Zhao, D. (2006). Optical image encryption with Hartley transforms. Optics Letters, 31(23), 3438–3440. https://doi.org/10.1364/OL.31.003438.CrossRef

11.

Cristobal, G., Schelkens, P., & Thienpont, H. (2013). Optical and digital image processing: Fundamentals and applications. New York: Wiley.

12.

Elshamy, A. M., El-Samie, F. E. A., Faragallah, O. S., Elshamy, E. M., El-sayed, H. S., El-zoghdy, S. F., et al. (2016). Optical image cryptosystem using double random phase encoding and Arnold’s Cat map. Optical and Quantum Electronics, 48(3), 212. https://doi.org/10.1007/s11082-016-0461-x.CrossRef

13.

Elshamy, A. M., Rashed, A. N. Z., Mohamed, A. E. N. A., Faragalla, O. S., Mu, Y., Alshebeili, S. A., et al. (2013). Optical image encryption based on chaotic baker map and double random phase encoding. Journal of Lightwave Technology, 31(15), 2533–2539. https://doi.org/10.1109/JLT.2013.2267891.CrossRef

14.

Faragallah, O. S., & Afifi, A. (2017). Optical color image cryptosystem using chaotic baker mapping based-double random phase encoding. Optical and Quantum Electronics, 49(3), 89. https://doi.org/10.1007/s11082-017-0909-7.CrossRef

15.

Farajallah, M., Fawaz, Z., El Assad, S. & Deforges, O. (2013). Efficient image encryption and authentication scheme based on chaotic sequences. In SECURWARE 2013: The Seventh International Conference on Emerging Security Information, Systems and Technologies (pp. 150–155).

16.

Gao, T., & Chen, Z. (2008). Image encryption based on a new total shuffling algorithm. Chaos, Solitons & Fractals, 38(1), 213–220. https://doi.org/10.1016/j.chaos.2006.11.009.MathSciNetCrossRefMATH

17.

Goodman, J. W. (2005). Introduction to Fourier optics. New York: Roberts and Company Publishers.

18.

Goudail, F., Bollaro, F., Javidi, B., & Réfrégier, P. (1998). Influence of a perturbation in a double phase-encoding system. JOSA A, 15(10), 2629–2638.CrossRef

19.

Healy, J. J., Kutay, M. A., Ozaktas, H. M., & Sheridan, J. T. (Eds.). (2016). Linear canonical transforms: Theory and applications. New York: Springer.MATH

20.

Javidi, B. (2006). Optical and digital techniques for information security. Berlin: Springer.

21.

Javidi, B., Carnicer, A., Yamaguchi, M., Nomura, T., Pérez-Cabré, E., Millán, M. S., et al. (2016). Roadmap on optical security. Journal of Optics, 18(8), 083001. https://doi.org/10.1088/2040-8978/18/8/083001.CrossRef

22.

Javidi, B., & Nomura, T. (2000). Securing information by use of digital holography. Optics Letters, 25(1), 28–30. https://doi.org/10.1364/OL.25.000028.CrossRef

23.

Javidi, B., Sergent, A., Zhang, G., & Guibert, L. (1997). Fault tolerance properties of a double phase encoding encryption technique. Optical Engineering, 36(4), 992–998. https://doi.org/10.1117/1.601144.CrossRef

24.

Jiang, H.Y. & Fu, C. (2008). An image encryption scheme based on lorenz chaos system. In 2008 Fourth International Conference on Natural Computation (Vol. 4, pp. 600–604). Presented at the 2008 Fourth International Conference on Natural Computation. https://doi.org/10.1109/ICNC.2008.813

25.

Kumar, P., Joseph, J., & Singh, K. (2012). Known-plaintext attack-free double random phase-amplitude optical encryption: Vulnerability to impulse function attack. Journal of Optics, 14(4), 045401. https://doi.org/10.1088/2040-8978/14/4/045401.CrossRef

26.

Kumar, P., Joseph, J., & Singh, K. (2016). Double random phase encoding based optical encryption systems using some linear canonical transforms: Weaknesses and countermeasures. In J. J. Healy, M. A. Kutay, H. M. Ozaktas, & J. T. Sheridan (Eds.), Linear canonical transforms (p. 367). New York: Springer. https://doi.org/10.1007/978-1-4939-3028-9_13.CrossRef

27.

Kumar, P., Kumar, A., Joseph, J., & Singh, K. (2012). Vulnerability of the security enhanced double random phase-amplitude encryption scheme to point spread function attack. Optics and Lasers in Engineering, 50(9), 1196–1201. https://doi.org/10.1016/j.optlaseng.2012.04.004.CrossRef

28.

Li, Y., Wang, C., & Chen, H. (2017). A hyper-chaos-based image encryption algorithm using pixel-level permutation and bit-level permutation. Optics and Lasers in Engineering, 90, 238–246. https://doi.org/10.1016/j.optlaseng.2016.10.020.CrossRef

29.

Liu, S., Guo, C., & Sheridan, J. T. (2014). A review of optical image encryption techniques. Optics & Laser Technology, 57, 327–342. https://doi.org/10.1016/j.optlastec.2013.05.023.CrossRef

30.

Liu, Y., & Rios Leite, J. R. (1994). Control of Lorenz chaos. Physics Letters A, 185(1), 35–37. https://doi.org/10.1016/0375-9601(94)90983-0.CrossRef

31.

Liu, X., Wu, J., He, W., Liao, M., Zhang, C., & Peng, X. (2015). Vulnerability to ciphertext-only attack of optical encryption scheme based on double random phase encoding. Optics Express, 23(15), 18955–18968. https://doi.org/10.1364/OE.23.018955.CrossRef

32.

Lorenz, E. N. (1963). Deterministic nonperiodic flow. Journal of the Atmospheric Sciences, 20(2), 130–141.CrossRef

33.

Lorenz, E. (1995). The essence of chaos (Reprint edition.). Seattle: University of Washington Press.

34.

Mogensen, P. C., & Glückstad, J. (2000). Phase-only optical encryption. Optics Letters, 25(8), 566–568. https://doi.org/10.1364/OL.25.000566.CrossRef

35.

Mogensen, P. C., & Glückstad, J. (2001). Phase-only optical decryption of a fixed mask. Applied Optics, 40(8), 1226–1235. https://doi.org/10.1364/AO.40.001226.CrossRef

36.

Murillo-Escobar, M. A., Cruz-Hernández, C., Abundiz-Pérez, F., López-Gutiérrez, R. M., & Acosta Del Campo, O. R. (2015). A RGB image encryption algorithm based on total plain image characteristics and chaos. Signal Processing, 109, 119–131. https://doi.org/10.1016/j.sigpro.2014.10.033.CrossRef

37.

Poon, T.-C., & Banerjee, P. P. (2001). Contemporary optical image processing with MATLAB. Amsterdam: Elsevier.

38.

Refregier, P., & Javidi, B. (1995). Optical image encryption based on input plane and Fourier plane random encoding. Optics Letters, 20(7), 767–769. https://doi.org/10.1364/OL.20.000767.CrossRef

39.

Schalkoff, R. J. (1989). Digital image processing and computer vision. New Jersey: Wiley.

40.

Singh, P., Yadav, A. K., & Singh, K. (2017). Phase image encryption in the fractional Hartley domain using Arnold transform and singular value decomposition. Optics and Lasers in Engineering, 91, 187–195. https://doi.org/10.1016/j.optlaseng.2016.11.022.CrossRef

41.

Singh, P., Yadav, A. K., Singh, K., & Saini, I. (2017). Optical image encryption in the fractional Hartley domain, using Arnold transform and singular value decomposition. AIP Conference Proceedings, 1802(1), 020017. https://doi.org/10.1063/1.4973267.CrossRef

42.

Singh, H., Yadav, A. K., Vashisth, S., & Singh, K. (2014). Fully phase image encryption using double random-structured phase masks in gyrator domain. Applied Optics, 53(28), 6472. https://doi.org/10.1364/AO.53.006472.CrossRef

43.

Singh, H., Yadav, A. K., Vashisth, S., & Singh, K. (2015). Double phase-image encryption using gyrator transforms, and structured phase mask in the frequency plane. Optics and Lasers in Engineering, 67, 145–156. https://doi.org/10.1016/j.optlaseng.2014.10.011.CrossRef

44.

Sparrow, C. (2012). The lorenz equations: Bifurcations, chaos, and strange attractors. Berlin: Springer.MATH

45.

Towghi, N., Javidi, B., & Luo, Z. (1999). Fully phase encrypted image processor. JOSA A, 16(8), 1915–1927. https://doi.org/10.1364/JOSAA.16.001915.CrossRef

46.

Vilardy, J. M., Millán, M. S., & Pérez-Cabré, E. (2017). Nonlinear image encryption using a fully phase nonzero-order joint transform correlator in the Gyrator domain. Optics and Lasers in Engineering, 89, 88–94. https://doi.org/10.1016/j.optlaseng.2016.02.013.CrossRef

47.

Xu, S., Wang, Y., Guo, Y., & Wang, C. (2010). A novel image encryption scheme based on a nonlinear chaotic map. International Journal of Image, Graphics and Signal Processing, 2(1), 61.CrossRef

48.

Yadav, A., Vashisth, S., Singh, H., & Singh, K. (2015). An asymmetric cryptography system for watermarking of phase-images using gyrator transform. Asian Journal of Physics, 24(12), 1611–1624.

49.

Yang, S.-K., Chen, C.-L., & Yau, H.-T. (2002). Control of chaos in Lorenz system. Chaos, Solitons & Fractals, 13(4), 767–780. https://doi.org/10.1016/S0960-0779(01)00052-2.CrossRefMATH

Titel: Phase-Image Encryption Based on 3D-Lorenz Chaotic System and Double Random Phase Encoding
verfasst von: Neha Sharma
Indu Saini
AK Yadav
Phool Singh
Publikationsdatum: 01.12.2017
Verlag: 3D Display Research Center
Erschienen in: 3D Research / Ausgabe 4/2017
Elektronische ISSN: 2092-6731
DOI: https://doi.org/10.1007/s13319-017-0149-4

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