A discrete fractional random transform
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TLDR
In this article, the authors proposed a discrete fractional random transform based on a generalization of the DFT with an intrinsic randomness, which is used for image encryption and decryption.About:
This article is published in Optics Communications.The article was published on 2005-11-15 and is currently open access. It has received 90 citations till now. The article focuses on the topics: Fractional Fourier transform & Discrete Fourier transform (general).read more
Citations
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Journal ArticleDOI
Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform
Yushu Zhang,Di Xiao +1 more
TL;DR: A novel discrete fractional random transform based on 2D chaotic logistic maps and two chaotic random masks resulting from Chirikov standard map is proposed and double random phase encoding is utilized to complete encryption.
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An efficient approach for encrypting double color images into a visually meaningful cipher image using 2D compressive sensing
TL;DR: An efficient visually meaningful double color image encryption algorithm is proposed by combining 2D compressive sensing (CS) with an embedding technique to achieve simultaneous compression and encryption.
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Novel image encryption algorithm based on multiple-parameter discrete fractional random transform
TL;DR: The computer simulation results show that the proposed encryption algorithm is sensitive to the multiple keys, and that it has considerable robustness, noise immunity and security.
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Triple image encryption scheme in fractional Fourier transform domains
TL;DR: A triple image encryption scheme by use of fractional Fourier transform is proposed, a multiple image algorithm is expanded and designed and all information of images is preserved in theory when image are decrypted with correct key.
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Color image encryption by using Arnold and discrete fractional random transforms in IHS space
TL;DR: Numerical simulation results have demonstrated the feasibility and effectiveness of the proposed DFRNT encryption method and the variation in fractional order, the change of Arnold transform iteration number, known-plaintext attack, noise addition and occlusion of the encrypted image, respectively.
References
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Book
Quantum Computation and Quantum Information
TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
Book
Introduction to Fourier optics
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
An introduction to wavelets
TL;DR: An Overview: From Fourier Analysis to Wavelet Analysis, Multiresolution Analysis, Splines, and Wavelets.
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.
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The Fractional Order Fourier Transform and its Application to Quantum Mechanics
TL;DR: In this article, a generalized operational calculus is developed, paralleling the familiar one for the ordinary transform, which provides a convenient technique for solving certain classes of ordinary and partial differential equations which arise in quantum mechanics from classical quadratic hamiltonians.
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Optical image encryption based on input plane and Fourier plane random encoding.
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