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An efficient image privacy scheme based on nonlinear chaotic system and linear canonical transformation

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  • Arshad, Usman
  • Khan, Majid
  • Shaukat, Sajjad
  • Amin, Muhammad
  • Shah, Tariq

Abstract

Making information invulnerable is one of the most critical issues of today’s era where information is being sent from one source to another destination with expeditious rates. In this research article, linear canonical transform (LCT) along with Lorenz differential equation is subjected for the process of double image encryption for its inherent characteristics which implies the diffusion and confusion of current era. In the contemplated method standard color images; Lena and Pepper of size 256×256 are used. Image scrambling, LCT of first order and second order along with Lorenz system are adapted as the steps on encryption process. The reverse process of defined encryption scheme is endorsed for the reformation of the original plain images separately from the single encrypted image. For quality assessment of the encryption scheme; different security and statistical analysis are performed and histograms of all the images are analyzed. As a result, statistical assessments recommended that our contemplated scheme is legitimate for the security of digital images.

Suggested Citation

  • Arshad, Usman & Khan, Majid & Shaukat, Sajjad & Amin, Muhammad & Shah, Tariq, 2020. "An efficient image privacy scheme based on nonlinear chaotic system and linear canonical transformation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    • Handle: RePEc:eee:phsmap:v:546:y:2020:i:c:s0378437119319296
    DOI: 10.1016/j.physa.2019.123458
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    References listed on IDEAS

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    1. Zhang, Linhua & Liao, Xiaofeng & Wang, Xuebing, 2005. "An image encryption approach based on chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 759-765.
    2. Gao, Haojiang & Zhang, Yisheng & Liang, Shuyun & Li, Dequn, 2006. "A new chaotic algorithm for image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 393-399.
    3. Rhouma, Rhouma & Meherzi, Soumaya & Belghith, Safya, 2009. "OCML-based colour image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 309-318.
    4. Majid Khan & Hafiz Muhammad Waseem, 2018. "A novel image encryption scheme based on quantum dynamical spinning and rotations," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-23, November.
    5. Zhou, Qing & Wong, Kwok-wo & Liao, Xiaofeng & Xiang, Tao & Hu, Yue, 2008. "Parallel image encryption algorithm based on discretized chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1081-1092.
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    Cited by:

    1. Xianglian Xue & Dongsheng Zhou & Changjun Zhou, 2020. "New insights into the existing image encryption algorithms based on DNA coding," PLOS ONE, Public Library of Science, vol. 15(10), pages 1-31, October.

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