Imaging Components, Systems, and Processing

Double-image encryption using chaotic maps and nonlinear non-DC joint fractional Fourier transform correlator

[+] Author Affiliations
Hongjie Zhao, Zhi Zhong, Hong Xie, Yabin Zhang, Mingguang Shan

Harbin Engineering University, College of Information and Communication Engineering, 145 Nantong Street, Harbin, Heilongjiang 150001, China

Weiwei Fang

Harbin Normal University, School of Mathematical Sciences, 50 Hexing Road, Harbin, Heilongjiang 150025, China

Opt. Eng. 55(9), 093109 (Sep 30, 2016). doi:10.1117/1.OE.55.9.093109
History: Received May 30, 2016; Accepted September 8, 2016
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Abstract.  A double-image encryption method is reported using chaotic maps, nonlinear non-DC joint transform correlator (JTC), and fractional Fourier transform (FrFT). The double images are converted into the amplitude and phase of a synthesized function through the application of chaotic pixel scrambling. The synthesized function bonded with a chaotic random phase mask (CRPM) and another different CRPM serve as the input signal of the JTC architecture in the fractional Fourier domain to obtain a real-valued encrypted image. The nonlinear and non-DC operation is also done to improve the security and decrypted image quality. The parameters in joint FrFT correlator and chaotic map serve as the encrypted keys. Numerical simulations have been done to demonstrate the feasibility and validity of this algorithm.

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© 2016 Society of Photo-Optical Instrumentation Engineers

Citation

Hongjie Zhao ; Zhi Zhong ; Weiwei Fang ; Hong Xie ; Yabin Zhang, et al.
"Double-image encryption using chaotic maps and nonlinear non-DC joint fractional Fourier transform correlator", Opt. Eng. 55(9), 093109 (Sep 30, 2016). ; http://dx.doi.org/10.1117/1.OE.55.9.093109


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