Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

M. R. Abuturab, “Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain,” Opt. Laser Technol. 45, 525–532 (2013).

[CrossRef]

X. Deng and D. Zhao, “Single-channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[CrossRef]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50, 772–779 (2012).

[CrossRef]

M. R. Abuturab, “Color information security system using discrete cosine transform in gyrator transform domain radial-Hilbert phase encoding,” Opt. Lasers Eng. 50, 1209–1216 (2012).

M. R. Abuturab, “Securing color image using discrete cosine transform in gyrator transform domain structured-phase encoding,” Opt. Lasers Eng. 50, 1383–1390 (2012).

[CrossRef]

M. R. Abuturab, “Color image security system using double random-structured phase encoding in gyrator transform domain,” Appl. Opt. 51, 3006–3016 (2012).

[CrossRef]

W. Chen and X. Chen, “Interference-based optical image encryption using three-dimensional phase retrieval,” Appl. Opt. 51, 6076–6083 (2012).

[CrossRef]

E. Pérez-Cabré, M. Cho, and B. Javidi, “Information authentication using photon-counting double-random-phase encrypted images,” Opt. Lett. 36, 22–24 (2011).

[CrossRef]

P. W. M. Tsang, T.-C. Poon, and K. W. K. Cheung, “Fast numerical generation and encryption of computer-generated Fresnel holograms,” Appl. Opt. 50, B46–B52 (2011).

[CrossRef]

X. Wang and D. Zhao, “Security enhancement of a phase-truncation based image encryption algorithm,” Appl. Opt. 50, 6645–6651 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

W. Qin, X. Peng, X. F. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[CrossRef]

W. Chen and X. Chen, “Optical color image encryption based on an asymmetric cryptosystem in the Fresnel domain,” Opt. Commun. 284, 3913–3917 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

X. Wang and D. Zhao, “Image encoding based on coherent superposition and basic vector operations,” Opt. Commun. 284, 945–951 (2011).

[CrossRef]

X. Wang and D. Zhao, “Double-image self-encoding and hiding based on phase-truncated Fourier transforms and phase retrieval,” Opt. Commun. 284, 4441–4445 (2011).

[CrossRef]

W. Qin and X. Peng, “Asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Lett. 35, 118–120(2010).

[CrossRef]

A. Alfalou and C. Brosseau, “Dual encryption scheme of images using polarized light,” Opt. Lett. 35, 2185–2187 (2010).

[CrossRef]

P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, “Optical encryption based on computational ghost imaging,” Opt. Lett. 35, 2391–2393 (2010).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: properties and applications,” Opt. Express 15, 2190–2203 (2007).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Technol. Lett. 21, 318–323 (1999).

[CrossRef]

M. R. Abuturab, “Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain,” Opt. Laser Technol. 45, 525–532 (2013).

[CrossRef]

M. R. Abuturab, “Color information security system using discrete cosine transform in gyrator transform domain radial-Hilbert phase encoding,” Opt. Lasers Eng. 50, 1209–1216 (2012).

M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50, 772–779 (2012).

[CrossRef]

M. R. Abuturab, “Color image security system using double random-structured phase encoding in gyrator transform domain,” Appl. Opt. 51, 3006–3016 (2012).

[CrossRef]

M. R. Abuturab, “Securing color image using discrete cosine transform in gyrator transform domain structured-phase encoding,” Opt. Lasers Eng. 50, 1383–1390 (2012).

[CrossRef]

M. R. Abuturab, “Noise-free recovery of color information using a joint-extended gyrator transform correlator,” Opt. Lasers Eng. (to be published).

M. R. Abuturab, “Color image security system based on discrete Hartley transform in gyrator transform domain,” Opt. Lasers Eng. (to be published).

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: properties and applications,” Opt. Express 15, 2190–2203 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: properties and applications,” Opt. Express 15, 2190–2203 (2007).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

X. Deng and D. Zhao, “Single-channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[CrossRef]

W. Qin, X. Peng, X. F. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Technol. Lett. 21, 318–323 (1999).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

W. Qin, X. Peng, X. F. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: properties and applications,” Opt. Express 15, 2190–2203 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

W. Stallings, Cryptography and Network Security: Principles and Practices, 5th ed. (Prentice Hall, 2011).

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[CrossRef]

X. Wang and D. Zhao, “Security enhancement of a phase-truncation based image encryption algorithm,” Appl. Opt. 50, 6645–6651 (2011).

[CrossRef]

X. Wang and D. Zhao, “Image encoding based on coherent superposition and basic vector operations,” Opt. Commun. 284, 945–951 (2011).

[CrossRef]

X. Wang and D. Zhao, “Double-image self-encoding and hiding based on phase-truncated Fourier transforms and phase retrieval,” Opt. Commun. 284, 4441–4445 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Technol. Lett. 21, 318–323 (1999).

[CrossRef]

X. Deng and D. Zhao, “Single-channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[CrossRef]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[CrossRef]

X. Wang and D. Zhao, “Security enhancement of a phase-truncation based image encryption algorithm,” Appl. Opt. 50, 6645–6651 (2011).

[CrossRef]

X. Wang and D. Zhao, “Image encoding based on coherent superposition and basic vector operations,” Opt. Commun. 284, 945–951 (2011).

[CrossRef]

X. Wang and D. Zhao, “Double-image self-encoding and hiding based on phase-truncated Fourier transforms and phase retrieval,” Opt. Commun. 284, 4441–4445 (2011).

[CrossRef]

L. Chen and D. Zhao, “Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms,” Opt. Express 14, 8552–8560 (2006).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

P. W. M. Tsang, T.-C. Poon, and K. W. K. Cheung, “Fast numerical generation and encryption of computer-generated Fresnel holograms,” Appl. Opt. 50, B46–B52 (2011).

[CrossRef]

X. Wang and D. Zhao, “Security enhancement of a phase-truncation based image encryption algorithm,” Appl. Opt. 50, 6645–6651 (2011).

[CrossRef]

M. R. Abuturab, “Color image security system using double random-structured phase encoding in gyrator transform domain,” Appl. Opt. 51, 3006–3016 (2012).

[CrossRef]

W. Chen and X. Chen, “Interference-based optical image encryption using three-dimensional phase retrieval,” Appl. Opt. 51, 6076–6083 (2012).

[CrossRef]

S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Technol. Lett. 21, 318–323 (1999).

[CrossRef]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

W. Chen and X. Chen, “Optical color image encryption based on an asymmetric cryptosystem in the Fresnel domain,” Opt. Commun. 284, 3913–3917 (2011).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

X. Wang and D. Zhao, “Image encoding based on coherent superposition and basic vector operations,” Opt. Commun. 284, 945–951 (2011).

[CrossRef]

X. Wang and D. Zhao, “Double-image self-encoding and hiding based on phase-truncated Fourier transforms and phase retrieval,” Opt. Commun. 284, 4441–4445 (2011).

[CrossRef]

W. Qin, X. Peng, X. F. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[CrossRef]

X. Deng and D. Zhao, “Single-channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[CrossRef]

M. R. Abuturab, “Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain,” Opt. Laser Technol. 45, 525–532 (2013).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50, 772–779 (2012).

[CrossRef]

M. R. Abuturab, “Color information security system using discrete cosine transform in gyrator transform domain radial-Hilbert phase encoding,” Opt. Lasers Eng. 50, 1209–1216 (2012).

M. R. Abuturab, “Securing color image using discrete cosine transform in gyrator transform domain structured-phase encoding,” Opt. Lasers Eng. 50, 1383–1390 (2012).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

P. Refregier and B. Javidi, “Optical image encryption based on input plane and Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

E. Pérez-Cabré, M. Cho, and B. Javidi, “Information authentication using photon-counting double-random-phase encrypted images,” Opt. Lett. 36, 22–24 (2011).

[CrossRef]

H.-E. Hwang, H. T. Chang, and W.-N. Lie, “Multiple-image encryption and multiplexing using a modified Gerchberg-Saxton algorithm and phase modulation in Fresnel-transform domain,” Opt. Lett. 34, 3917–3919 (2009).

[CrossRef]

W. Qin and X. Peng, “Asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Lett. 35, 118–120(2010).

[CrossRef]

A. Alfalou and C. Brosseau, “Dual encryption scheme of images using polarized light,” Opt. Lett. 35, 2185–2187 (2010).

[CrossRef]

P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, “Optical encryption based on computational ghost imaging,” Opt. Lett. 35, 2391–2393 (2010).

[CrossRef]

M. R. Abuturab, “Color image security system based on discrete Hartley transform in gyrator transform domain,” Opt. Lasers Eng. (to be published).

M. R. Abuturab, “Noise-free recovery of color information using a joint-extended gyrator transform correlator,” Opt. Lasers Eng. (to be published).

W. Stallings, Cryptography and Network Security: Principles and Practices, 5th ed. (Prentice Hall, 2011).