31 August 2009 Optical image encryption based on two-dimensional N-parameter fractional Fourier transform
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Proceedings Volume 7382, International Symposium on Photoelectronic Detection and Imaging 2009: Laser Sensing and Imaging; 73824B (2009) https://doi.org/10.1117/12.834561
Event: International Symposium on Photoelectronic Detection and Imaging 2009, 2009, Beijing, China
Abstract
In this paper, the weighted fractional Fourier transform with dilation parameter (N-PFRFT) is proposed as the weighted combination of the first four integer-order ordinary Fourier transforms. This N-PFRFT is an extension of four-item weighted fractional Fourier transform (N-PFRFT) defined by Shih[1] and it owns four free parameters in the weight coefficients besides the order of the fractional Fourier transform. A novel image encryption algorithm is presented by the N-PFRFT.The method owns more secret keys than the encryption methods operated by other fractional Fourier transforms without any increase of the computational complexity. On the other hand, the image still can't be decrypted correctly even though the order of FRFT which is treated as a secret key is known. So do the four free parameters. Therefore, both the order parameter and the vector parameter can be chosen in the real domain to improve the security of the encryption method. Digital simulations are presented to verify the more validity and efficiency of the algorithm.
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Haiying Zhang, Haiying Zhang, Qiwen Ran, Qiwen Ran, Yu Xiao, Yu Xiao, Jing Ma, Jing Ma, Liying Tan, Liying Tan, Jin Zhang, Jin Zhang, Deyun Wei, Deyun Wei, } "Optical image encryption based on two-dimensional N-parameter fractional Fourier transform", Proc. SPIE 7382, International Symposium on Photoelectronic Detection and Imaging 2009: Laser Sensing and Imaging, 73824B (31 August 2009); doi: 10.1117/12.834561; https://doi.org/10.1117/12.834561
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