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Securing color image by using hyperchaotic system in gyrator transform domains

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Abstract

A color image encryption scheme is proposed by using a hyperchaotic system in gyrator transform domains. The red, green and blue (RGB) components of the original color image are encoded into one dimensional stream, respectively. Four chaotic sequences generated by a hyperchaotic system are blended into the streams to synthesize complex sequences. Subsequently the one dimensional complex streams are scrambled by employing discrete cosine transform and then encoded back to image format. Finally, the scrambled complex functions are encoded and transformed in gyrator domains. The parameters in the hyperchaotic system and the gyrator optical system are regarded as the extra keys for improving the security of the proposed scheme. Some numerical simulations are made to test the validity and capability of the proposed color encryption algorithm.

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References

  • Abuturab, M.R.: Color information cryptosystem based on optical superposition rinciple and phase-truncated gyrator transform. Appl. Opt. 51, 7994–8002 (2012)

    Article  ADS  Google Scholar 

  • Abuturab, M.R.: Color image security system based on discrete Hartley transform in gyrator transform domain. Opt. Lasers Eng. 51, 317–324 (2013)

    Article  Google Scholar 

  • Abuturab, M.R.: An asymmetric color image cryptosystem based on Schur decomposition in gyrator transform domain. Opt. Lasers Eng. 58, 39–47 (2014a)

    Article  Google Scholar 

  • Abuturab, M.R.: Color information verification system based on singular value decomposition in gyrator transform domain. Opt. Lasers Eng. 57, 13–19 (2014b)

    Article  Google Scholar 

  • Alfalou, A., Brosseau, C.: Optical image compression and encryption methods. Adv. Opt. Photonics 1, 589–636 (2009)

    Article  Google Scholar 

  • Chee, C., Xu, D.: Secure digital communication using controlled projective synchronisation of chaos. Chaos, Solitons Fractals 23, 1063–1070 (2005)

    Article  ADS  MATH  Google Scholar 

  • Chen, L., Zhao, D., Ge, F.: Color image encoding in dual fractional Fourier–wavelet domain with random phases. Opt. Commun. 282, 3433–3438 (2009)

    Article  ADS  Google Scholar 

  • Chen, W., Chen, X., Sheppard, C.J.R.: Optical color-image encryption and synthesis using coherent diffractive imaging in the Fresnel domain. Opt. Express 20, 3853–3865 (2012)

    Article  ADS  Google Scholar 

  • Chen, H., Du, X., Liu, Z., Yang, C.: Color image encryption based on the affine transform and gyrator transform. Opt. Lasers Eng. 51, 768–775 (2013a)

    Article  Google Scholar 

  • Chen, W., Situ, G., Chen, X.: High-flexibility optical encryption via aperture movement. Opt. Express 21, 24680–24691 (2013b)

    Article  ADS  Google Scholar 

  • Chen, H., Zhao, J., Liu, Z., Du, X.: Opto-digital spectrum encryption by using Baker mapping and gyrator transform. Opt. Lasers Eng. 66, 285–293 (2015a)

    Article  Google Scholar 

  • Chen, H., Du, X., Liu, Z., Yang, C.: Optical color image hiding scheme by using Gerchberg–Saxton algorithm in fractional Fourier domain. Opt. Lasers Eng. 66, 144–151 (2015b)

    Article  Google Scholar 

  • Hennelly, B., Sheridan, J.T.: Optical image encryption by random shifting in fractional Fourier domains. Opt. Lett. 28, 269–271 (2003)

    Article  ADS  Google Scholar 

  • Lang, J.: Image encryption based on the reality-preserving multiple-parameter fractional Fourier transform and chaos permutation. Opt. Lasers Eng. 50, 929–937 (2012)

    Article  Google Scholar 

  • Lin, J., Huang, C., Liao, T., Yan, J.: Design and implementation of digital secure communication based on synchronized chaotic systems. Digit. Signal Process. 20, 229–237 (2010)

    Article  Google Scholar 

  • Liu, Z., Liu, S.: Random fractional Fourier transform. Opt. Lett. 32, 2088–2090 (2007)

    Article  ADS  Google Scholar 

  • Liu, Z., Xu, L., Lin, C., Dai, J., Liu, S.: Image encryption scheme by using iterative random phase encoding in gyrator transform domains. Opt. Lasers Eng. 49, 542–546 (2011)

    Article  Google Scholar 

  • Liu, Z., Guo, C., Tan, J., Liu, W., Wu, J., Wu, Q., Pan, L., Liu, S.: Securing color image by using phase-only encoding in Fresnel domains. Opt. Lasers Eng. 68, 87–92 (2015)

    Article  Google Scholar 

  • Mehra, I., Rajput, S.K., Nishchal, N.K.: Cryptanalysis of an image encryption scheme based on joint transform correlator with amplitude- and phase-truncation approach. Opt. Lasers Eng. 52, 167–173 (2014)

    Article  Google Scholar 

  • Meng, X.F., Cai, L.Z., Xu, X.F., Yang, X.L., Shen, X.X., Dong, G.Y., et al.: Two-step phase-shifting interferometry and its application in image encryption. Opt. Lett. 31, 1414–1416 (2006)

    Article  ADS  Google Scholar 

  • Ozaktas, H.M., Zalevsky, Z., Kutay, M.A.: Fractional Fourier Transform with Applications in Optics and Signal Processing. Wiley, New York (2000)

    Google Scholar 

  • Peng, X., Zhang, P., Wei, H., Yu, B.: Known-plaintext attack on optical encryption based on double random phase keys. Opt. Lett. 31, 1044–1046 (2006a)

    Article  ADS  Google Scholar 

  • Peng, X., Wei, H., Zhang, P.: Chosen-plaintext attack on lensless double-random phase encoding in the Fresnel domain. Opt. Lett. 31, 3261–3263 (2006b)

    Article  ADS  Google Scholar 

  • Refregier, P., Javidi, B.: Optical image encryption based on input plane and Fourier plane random encoding. Opt. Lett. 20, 767–769 (1995)

    Article  ADS  Google Scholar 

  • Rodrigo, J.A., Alieva, T., Calvo, M.L.: Experimental implementation of the gyrator transform. J. Opt. Soc. Am. A 24, 3135–3139 (2007)

    Article  ADS  Google Scholar 

  • Simon, R., Wolf, K.B.: Structure of the set of paraxial optical systems. J. Opt. Soc. Am. A 17, 342–355 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  • Sui, L., Lu, H., Wang, Z., Sun, Q.: Double-image encryption using discrete fractional random transform and logistic maps. Opt. Lasers Eng. 56, 1–12 (2014)

    Article  Google Scholar 

  • Zhong, Z., Chang, J., Shan, M., Hao, B.: Fractional Fourier-domain random encoding and pixel scrambling technique for double image encryption. Opt. Commun. 285, 18–23 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  • Zhu, N., Wang, Y., Liu, J., Xie, J., Zhang, H.: Optical image encryption based on interference of polarized light. Opt. Express 17, 13418–13424 (2009)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant 61575053), the Fundamental Research Funds for the Central Universities (No. HIT.BRETIII.201406), the Program for New Century Excellent Talents in University (NCET-12-0148), and the China Postdoctoral Science Foundation (2013M540278). The authors wish to thanks Mr. Chengwei Yang in Baicheng Ordnance Test Center of China for the valuable discussion. The authors wish to thank the reviewers for their useful comments and suggestions.

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Authors and Affiliations

  1. Laboratoire Conception Optimisation et Modélisation des Systèms, University de Lorraine, 57070, Metz, France

    Hang Chen & Camel Tanougast

  2. Department of Automation Measurement and Control, Harbin Institute of Technology, Harbin, 150001, China

    Hang Chen & Zhengjun Liu

  3. Research Institute of Special Mechanical and Electrical Technology of Beijing, Beijing, 100012, China

    Boya Hao

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  1. Hang Chen
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  2. Camel Tanougast
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  3. Zhengjun Liu
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  4. Boya Hao
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Correspondence to Hang Chen.

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Chen, H., Tanougast, C., Liu, Z. et al. Securing color image by using hyperchaotic system in gyrator transform domains. Opt Quant Electron 48, 396 (2016). https://doi.org/10.1007/s11082-016-0669-9

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  • DOI: https://doi.org/10.1007/s11082-016-0669-9

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