Encryption and decryption for double images based on fractional Fourier transformation

WANG Peng; YUAN Caojin; WANG Lin; LI Chongguang

doi:10.7510/jgjs.issn.1001-3806.2014.04.023

In order to encrypt double color images in a single channel, firstly, two color images to be encrypted were converted to indexed images instead of RGB model and the color mapping matrix of the index images was reserved. Then, after the logarithm operation, fraction Fourier transformation and random modulation of the data matrix, both the images were encrypted. The theoretical analysis and experiment results indicate that two color images can be retrieved without distortion only when correct keys are used. The algorithm has high security.

Encryption and decryption for double images based on fractional Fourier transformation

Corresponding author: YUAN Caojin, optyuan@163.com;

1. Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China;

2. College of Physics Science and Technology, Nanjing Normal University, Nanjing 210023, China

Received Date: 2013-08-01

Accepted Date: 2013-11-06

Available Online: 2014-07-25

Abstract: In order to encrypt double color images in a single channel, firstly, two color images to be encrypted were converted to indexed images instead of RGB model and the color mapping matrix of the index images was reserved. Then, after the logarithm operation, fraction Fourier transformation and random modulation of the data matrix, both the images were encrypted. The theoretical analysis and experiment results indicate that two color images can be retrieved without distortion only when correct keys are used. The algorithm has high security.

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Reference (18)

[1]	LIU Z, XU L, LIN C, et al. Image encryption scheme by using iterative random phase encoding in gyrator transform domains[J]. Optics and Lasers in Engineering, 2011, 49(4): 542-546.
[2]	DENG X P, WEN W. Binary image encryption using logic operations based on interferometer [J]. Laser Technology, 2010, 34(3): 401-404(in Chinese)
[3]	ZHANG H Z, YAO M, LEI P, et al. Research of image processing method of far-field laser spots[J]. Laser Technology, 2013, 37(4):460-463 (in Chinese).
[4]	LIN R, LIU Q N, ZHANG C L. A new fast algorithm for gyrator transform[J]. Laser Technology, 2012, 36(1):50-53(in Chinese).
[5]	DING X L. Asymmetric optical image cryptosystem based on spherical wave illumination[J]. Laser Technology, 2013, 37(5): 576-581(in Chinese).
[6]	REFREGIER P, JAVIDI B. Optical image encryption based on input plane and Fourier plane random encoding [J]. Optics Letters, 1995, 20(7): 767-769.
[7]	XIAO Y L, ZHOU X, LIU Q, et al. An image reconstruction method based on the double- random phase encoding system in the Fresnel domain [J]. Optics and Laser Technology,2009,41(9):449-453.
[8]	BRYAN H, JOHN T S. Fractional Fourier transform-based image encryption: phase retrieval algorithm [J].Optics Communications, 2003, 226(3):61-80.
[9]	TAN X D, OSAMU M, TSUTOMU S, et al. Secure optical storage that uses fully phase encryption[J].Applied Optics,2000,39(35):6689-6694.
[10]	CHEN L, ZHAO D. Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms [J]. Optics Express, 2006, 14(19): 8552-8560.
[11]	JOSHI M, SHAKHER C, SINGH K. Logarithms-based RGB image encryption in the fractional Fourier domain: a non-linear approach[J]. Optics and Lasers in Engineering, 2009, 47(6): 721-727.
[12]	JOSHI M, SINGH K. Color image encryption and decryption using fractional Fourier transform [J]. Optics Communications, 2007, 279(1): 35-42.
[13]	ZHANG S, KARIM M A. Color image encryption using double random phase encoding[J]. Microwave and Optical Technology Letters, 1999, 21(5): 318-323.
[14]	QIN Y, ZHENG C B. Color image encryption based on double random phase encoding [J]. Acta Photonica Sinica, 2012, 41(3):326-329(in Chinese).
[15]	LI Zh L, WANG X L, ZHAI H Ch, et al. A method of color image single-channel encryption[J]. Acta Physica Sinica, 2009, 58(2):1053-1056(in Chinese).
[16]	ZHANG W Q, ZHOU N R. Double-color image encryption based on discrete fractional random transform [J]. Journal of Electronics & Information Technology, 2012, 34(7): 1727-1734(in Chinese).
[17]	JOSHI M, SINGH K. Color image encryption and decryption for twin images in fractional Fourier domain [J]. Optics Communications, 2008, 281(23): 5713-5720.
[18]	SUI L Sh, GAO B. Color image encryption based on gyrator transform and arnold transform [J]. Optics & Laser Technology, 2013, 48: 530-538.

Encryption and decryption for double images based on fractional Fourier transformation

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通讯作者: 陈斌, bchen63@163.com

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