Abstract
A technique, based on a modified Gerchberg-Saxton algorithm (MGSA) and a phase modulation scheme in the fractional Fourier-transform (FrFT) domain, is proposed to reduce crosstalks in multiple-image encryption and multiplexing. First, each plain image is encoded into a phase function by using the MGSA. Then all the created phase functions are multiplexed, with different fractional order of FrFT, and phase-modulated before being combined together into a single phase only function (POF). Simulation results show that the crosstalks between multiplexed images have been significantly reduced, compared with prior methods [1, 2], thus presenting high promise in increasing the multiplexing capacity and encrypting graylevel and color images.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
References
Nomura, T., Mikan, S., Morimoto, Y., Javid, B.: Secure optical data storage with random phase key codes by use of a configuration of a joint transform correlator. Appl. Opt. 42, 1508–1514 (2003)
He, M.Z., Cai, L.Z., Liu, Q., Wang, X.C., Meng, X.F.: Multiple image encryption and watermarking by random phase matching. Opt. Commun. 247, 29–37 (2005)
Situ, G., Zhang, J.: Multiple-image encryption with wavelength multiplexing. Opt. Lett. 30, 1306–1308 (2005)
Situ, G., Zhang, J.: Position multiplexing for multiple-image encryption. J. Opt. A: Pure Appl. Opt. 8, 391–397 (2006)
Denz, C., Pauliat, G., Roosen, G., Tschudi, T.: Volume hologram multiplexing using a deterministic phase encoding method. Opt. Commun. 85, 171–176 (1991)
Heanue, J.F., Bashaw, M.C., Hesselink, L.: Encrypted holographic data storage based on orthogonal-phase-code multiplexing. Appl. Opt. 34, 6012–6015 (1995)
Taketomi, Y., Ford, J.E., Sasaki, H., Ma, J., Fainman, Y., Lee, S.H.: Incremental recording for photorefractive hologram multiplexing. Opt. Lett. 16, 1774–1776 (1991)
Zhang, X., Berger, G., Dietz, M., Denz, C.: Unitary matrices for phase-coded holographic memories. Opt. Lett. 31, 1047–1049 (2006)
Réfrégier, P., Javidi, B.: Optical image encryption based on input plane and Fourier plane random encoding. Opt. Lett. 20, 767–769 (1995)
Javidi, B., Zhang, G., Li, L.: Encrypted optical memory using double-random phase encoding. Appl. Opt. 36, 1054–1058 (1997)
Situ, G., Zhang, J.: A lensless optical security system based on computer-generated phase only masks. Opt. Commun. 232, 115–122 (2004)
Situ, G., Zhang, J.: Double random-phase encoding in the Fresnel domain. Opt. Lett. 29, 1584–1586 (2004)
Liu, Z., Liu, S.: Double image encryption based on iterative fractional Fourier transform: Opt. Comm. 272, 324–329 (2007)
Chen, L., Zhao, D.: Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms. Opt. Express 14, 8552–8560 (2006)
Gerchberg, R.W., Saxton, W.O.: Phase determination for image and diffraction plane pictures in the electron microscope. Optik 34, 275–284 (1971)
Gerchberg, R.W., Saxton, W.O.: A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik 35, 237–246 (1972)
Hwang, H.E., Chang, H.T., Lie, W.N.: Fast double-phase retrieval in Fresnel domain using modified Gerchberg-Saxton algorithm for lensless optical security systems. Opt. Express 17, 13700–13710 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chang, H.T., Hwang, HE. (2010). Multiple-Image Multiplexing Encryption Based on Modified Gerchberg-Saxton Algorithm and Phase Modulation in Fractional Fourier Transform Domain. In: Pan, JS., Chen, SM., Nguyen, N.T. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2010. Lecture Notes in Computer Science(), vol 6421. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16693-8_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-16693-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16692-1
Online ISBN: 978-3-642-16693-8
eBook Packages: Computer ScienceComputer Science (R0)