Specifications

Fourier domain
Authors: Sui, Liansheng1 ; Xin, Meiting1 ; Tian, Ailing2 ; Jin, Haiyan1/隋连升;辛美婷;田爱玲;
金海燕
Author affiliation:
1 School of Computer Science and Engineering, Xi'An University of Technology, Xi'an 710048,
China
2 Shannxi Province Key Lab of Thin Film Technology and Optical Test, Xi'An Technological
University, Xi'an 710032, China
Corresponding author: Sui, L. ([e-mail])
Source title: Optics and Lasers in Engineering
Abbreviated source title: Opt Lasers Eng
Volume: 51
Issue: 12
Issue date: December 2013
Publication year: 2013
Pages: 1297-1309
Language: English
ISSN: 01438166
CODEN: OLENDN
Document type: Journal article (JA)
Publisher: Elsevier Ltd, Langford Lane, Kidlington, Oxford, OX5 1GB, United Kingdom
Abstract: A single-channel color image encryption is proposed based on a phase retrieve
algorithm and a two-coupled logistic map. Firstly, a gray scale image is constituted with three
channels of the color image, and then permuted by a sequence of chaotic pairs generated by the
two-coupled logistic map. Secondly, the permutation image is decomposed into three new
components, where each component is encoded into a phase-only function in the fractional
Fourier domain with a phase retrieve algorithm that is proposed based on the iterative fractional
Fourier transform. Finally, an interim image is formed by the combination of these phase-only
functions and encrypted into the final gray scale ciphertext with stationary white noise
distribution by using chaotic diffusion, which has camouflage property to some extent. In the
process of encryption and decryption, chaotic permutation and diffusion makes the resultant
image nonlinear and disorder both in spatial domain and frequency domain, and the proposed
phase iterative algorithm has faster convergent speed. Additionally, the encryption scheme
enlarges the key space of the cryptosystem. Simulation results and security analysis verify the
feasibility and effectiveness of this method. © 2013 Elsevier Ltd. All rights reserved.
Number of references: 43
Main heading: Cryptography
Controlled terms: Algorithms - Image processing - Iterative methods - White noise
Uncontrolled terms: Color image encryptions - Encryption and
decryption - Encryption schemes - Fractional Fourier domains - Fractional Fourier
transforms - Iterative algorithm - Noise distribution - Single-channel
Classification code: 921 Mathematics - 741 Light, Optics and Optical Devices - 723
Computer Software, Data Handling and Applications - 921.6 Numerical Methods - 718
Telephone Systems and Related Technologies; Line Communications - 716 Telecommunication;