Image encryption based on anamorphic fractional Fourier transform and three-step phase-shifting interferometry

2006 ◽  
Vol 268 (2) ◽  
pp. 240-244 ◽  
Author(s):  
Xiaogang Wang ◽  
Daomu Zhao
Keyword(s):  
Fourier Transform ◽  
Image Encryption ◽  
Fractional Fourier Transform ◽  
Phase Shifting ◽  
Phase Shifting Interferometry

Asymmetric image encryption using phase-truncated discrete multiple-parameter fractional Fourier transform

2018 ◽  
Vol 25 (6) ◽  
pp. 701-707 ◽  
Author(s):  
Guanghui Ren ◽  
Jianan Han ◽  
Jiahui Fu ◽  
Mingguang Shan
Keyword(s):  
Fourier Transform ◽  
Image Encryption ◽  
Fractional Fourier Transform ◽  
Multiple Parameter

Image Encryption Based on Development of Hénon Chaotic Maps using Fractional Fourier Transform

2014 ◽  
Vol 5 (3) ◽  
pp. 62-77 ◽  
Author(s):  
Mona F. M. Mursi ◽  
Hossam Eldin H. Ahmed ◽  
Fathi E. Abd El-Samie ◽  
Ayman H. Abd El-Aziem
Keyword(s):  
Fourier Transform ◽  
Image Encryption ◽  
Chaotic Maps ◽  
Fractional Fourier Transform ◽  
Chaotic Map ◽  
Security Analysis ◽  
Experimental Tests ◽  
It Use ◽  
Arnold Cat Map ◽  
And Diffusion

In this paper, the authors propose an image encryption scheme based on the development of a Hénon chaotic map using fractional Fourier transform (FRFT) which is introduced to satisfy the necessity of high secure image. This proposed algorithm combines the main advantages of confusion and diffusion with (FRFT), it use Arnold Cat map for confusion and Hénon chaotic map or one of the proposed Hénon chaotic maps for diffusion. The proposed algorithm is compared with some image encryption algorithms based on Arnold Cat map, Baker chaotic map, Hénon chaotic map and RC6. The authors perform a comparison between them in several experimental tests as statistical analyses, processing time and security analysis. The authors find from these comparison tests that the proposed algorithm demonstrates good result even better than RC6 and other chaotic maps in some cases.

scholarly journals The Weighted Fractional Fourier Transform and Its Application in Image Encryption

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Tieyu Zhao ◽  
Qiwen Ran
Keyword(s):  
Fourier Transform ◽  
Theoretical Analysis ◽  
Image Encryption ◽  
Fourier Transforms ◽  
Fractional Fourier Transform ◽  
Rapid Development ◽  
Matrix Group ◽  
Future Developments ◽  
Security And Reliability ◽  
Fractional Fourier Transforms

With the rapid development of information, the requirements for the security and reliability of cryptosystems have become increasingly difficult to meet, which promotes the development of the theory of a class of fractional Fourier transforms. In this paper, we present a review of the development and applications of the weighted fractional Fourier transform (WFRFT) in image encryption. Relationships between the algorithms are established using the generalized permutation matrix group in theoretical analysis. In addition, the advantages and potential weaknesses of each algorithm in image encryption are analyzed and discussed. It is expected that this review will provide a clear picture of the current developments of the WFRFT in image encryption and may shed some light on future developments.

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