Journal ArticleDOI
Image Encryption With Multiorders of Fractional Fourier Transforms
Ran Tao,Xiang-Yi Meng,Yue Wang +2 more
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TLDR
A novel method to encrypt an image by multiorders of FRFT by applying the transform orders of the utilized FRFT as secret keys with a larger key space than the existing security systems based on the FRFT is proposed.Abstract:
The original information in the existing security system based on the fractional Fourier transform (FRFT) is essentially protected by only a certain order of FRFT. In this paper, we propose a novel method to encrypt an image by multiorders of FRFT. In the image encryption, the encrypted image is obtained by the summation of different orders inverse discrete FRFT of the interpolated subimages. And the original image can be perfectly recovered using the linear system constructed by the fractional Fourier domain analysis of the interpolation. The proposed method can be applied to the double or more image encryptions. Applying the transform orders of the utilized FRFT as secret keys, the proposed method is with a larger key space than the existing security systems based on the FRFT. Additionally, the encryption scheme can be realized by the fast-Fourier-transform-based algorithm and the computation burden shows a linear increase with the extension of the key space. It is verified by the experimental results that the image decryption is highly sensitive to the deviations in the transform orders.read more
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Medical image encryption using high-speed scrambling and pixel adaptive diffusion
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An image encryption scheme based on rotation matrix bit-level permutation and block diffusion
Yushu Zhang,Di Xiao +1 more
TL;DR: A novel image encryption scheme based on rotation matrix bit-level permutation and block diffusion that has the suitability for a parallel mode and the robustness against noise in communication system is proposed.
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Fractional calculus in image processing: a review
TL;DR: In this paper, a review of fractional-order based methods for image processing is presented, which includes image enhancement, image denoising, image edge detection, image segmentation, image registration, image recognition, image fusion, image encryption, image compression and image restoration.
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Outsourcing Large Matrix Inversion Computation to A Public Cloud
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Fractional Calculus In Image Processing: A Review
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References
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Journal ArticleDOI
The fractional Fourier transform and time-frequency representations
TL;DR: The authors briefly introduce the functional Fourier transform and a number of its properties and present some new results: the interpretation as a rotation in the time-frequency plane, and the FRFT's relationships with time- frequencies such as the Wigner distribution, the ambiguity function, the short-time Fouriertransform and the spectrogram.
Journal ArticleDOI
Optical encryption by double-random phase encoding in the fractional Fourier domain.
TL;DR: An optical architecture that encodes a primary image to stationary white noise by using two statistically independent random phase codes that has an enhanced security value compared with earlier methods is proposed.
Proceedings ArticleDOI
The fractional fourier transform
Haldun M. Ozaktas,M. Alper Kutay +1 more
TL;DR: An overview of applications which have so far received interest are given and some potential application areas remaining to be explored are noted.
Journal ArticleDOI
Closed-form discrete fractional and affine Fourier transforms
Soo-Chang Pei,Jian-Jiun Ding +1 more
TL;DR: A new type of DFRFT is introduced, which are unitary, reversible, and flexible, which works in performance similar to the continuous fractional Fourier transform (FRFT) and can be efficiently calculated by the FFT.
Journal ArticleDOI
Double image encryption based on random phase encoding in the fractional Fourier domain
TL;DR: A novel image encryption method is proposed by utilizing random phase encoding in the fractional Fourier domain to encrypt two images into one encrypted image with stationary white distribution that can be recovered without cross-talk.