Analysis of the efficiency of a virtualoptical multiplexing method, by using theta modulation
Abstract
We present an efficient virtual-optical multiplexing method for compressing information contained in gray level images. The efficiency is measured using three parameters: quality factors of recovered images, memory saving percentage achieved, and number of multiplexed images in the package. Theta modulation techniques are applied, to process an N number of gray level images, by using a virtual-optical 2f architecture, from which we obtain a complex package M, to be stored as two images, amplitude and phase, in commercial formats. We apply pixel optimization and Fourier plane filtering to amplitude and phase images, respectively, storing only a percentage of the Fourier plane with a pixel dynamic range optimization. The stored package spends much less memory than individual images. The recovered images after the demultiplexing process are compared with the original ones by using correlation coefficient, obtaining high quality factors for decompressed images. We perform simulations, showing the efficiency of the proposed process, and our results are compared to the same factors reported in recent publications, making our improvements evident.
References
A. Alfalou and C. Brosseau, “Optical image compression and encryption methods,” Adv. Opt. Photonics, vol. 1, no. 3, p. 589, Nov. 2009.
X. Yong Liang, Z. Xin, Y. Sheng, and C. Yao Yao, “Multiple-image parallel optical encryption,” Opt. Commun., vol. 283, no. 14, pp. 2789–2793, Jul. 2010.
L. Cabezas, M. Tebaldi, J. F. Barrera, N. Bolognini, and R. Torroba, “Optical smart packaging to reduce transmitted information,” Opt. Express, vol. 20, no. 1, p. 158, Jan. 2012.
L. Cebezas, M. Tebaldi, J. Barrera, N. Bolognini, and R. D. Torroba, “Image enhancement in multiplexed data by using phase gratings in theta modulation encrypting techniques,” in Frontiers in Optics 2012/Laser Science XXVIII, 2012, p. FW3A.11.
B. M. Hennelly, T. J. Naughton, J. McDonald, J. T. Sheridan, G. Unnikrishnan, D. P. Kelly, and B. Javidi, “Spread-space spread-spectrum technique for secure multiplexing,” Opt. Lett., vol. 32, no. 9, p. 1060, May 2007.
N. Singh and A. Sinha, “Chaos based multiple image encryption using multiple canonical transforms,” Opt. Laser Technol., vol. 42, no. 5, pp. 724–731, Jul. 2010.
X. Wang and D. Zhao, “Multiple-image encryption based on nonlinear amplitude-truncation and phase-truncation in Fourier domain,” Opt. Commun., vol. 284, no. 1, pp. 148–152, Jan. 2011.
W. Liu, Z. Xie, Z. Liu, Y. Zhang, and S. Liu, “Multiple-image encryption based on optical asymmetric key cryptosystem,” Opt. Commun., vol. 335, no. 0, pp. 205–211, Jan. 2015.
A. Alfalou, C. Brosseau, and N. Abdallah, “Simultaneous compression and encryption of color video images,” Opt. Commun., vol. 338, no. 0, pp. 371–379, Mar. 2015.
R. Henao, E. Rueda, J. F. Barrera, and R. Torroba, “Noise-free recovery of optodigital encrypted and multiplexed images,” Opt. Lett., vol. 35, no. 3, p. 333, Feb. 2010.
J. J. Huang, H.-E. Hwang, C. Y. Chen, and C. M. Chen, “Optical multiple-image encryption based on phase encoding algorithm in the Fresnel transform domain,” Opt. Laser Technol., vol. 44, no. 7, pp. 2238–2244, Oct. 2012.
X. Deng and D. Zhao, “Multiple-image encryption using phase retrieve algorithm and intermodulation in Fourier domain,” Opt. Laser Technol., vol. 44, no. 2, pp. 374–377, Mar. 2012.
H. Zhao, J. Liu, J. Jia, N. Zhu, J. Xie, and Y. Wang, “Multiple-image encryption based on position multiplexing of Fresnel phase,” Opt. Commun., vol. 286, no. 0, pp. 85–90, Jan. 2013.
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., vol. 34, no. 24, p. 3917, Dec. 2009.
H. T. Chang, H.-E. Hwang, and C.-L. Lee, “Position multiplexing multiple-image encryption using cascaded phase-only masks in Fresnel transform domain,” Opt. Commun., vol. 284, no. 18, pp. 4146–4151, Aug. 2011.
J. D. Armitage and A. W. Lohmann, “Theta Modulation in Optics,” Appl. Opt., vol. 4, no. 4, p. 399, Apr. 1965.
F. Mosso, J. F. Barrera, M. Tebaldi, N. Bolognini, and R. Torroba, “All-optical encrypted movie,” Opt. Express, vol. 19, no. 6, p. 5706, Mar. 2011.
J. F. Barrera, S. Trejos, M. Tebaldi, and R. Torroba, “Experimental protocol for packaging and encrypting multiple data,” J. Opt., vol. 15, no. 5, p. 55406, May 2013.
S. Trejos, J. F. Barrera, M. Tebaldi, and R. Torroba, “Experimental opto-digital processing of multiple data via modulation, packaging and encryption,” J. Opt., vol. 16, no. 5, p. 55402, May 2014.
J. Vargas, D. Amaya, and E. Rueda, “Digital image compression for a 2f multiplexing optical setup,” J. Opt., vol. 18, no. 7, p. 75701, Jul. 2016.
J. W. Goodman, Introduction to Fourier Optics, 2nd ed. McGraw-Hill, 1996.
X. Yong Liang, X. Su, S. Li, X. Liu, and S. Zeng, “Key rotation multiplexing for multiple-image optical encryption in the Fresnel domain,” Opt. Laser Technol., vol. 43, no. 4, pp. 889–894, Jun. 2011.
J. A. V. Valencia, “Optimización de un Sistema de Multiplexado Óptico Virtual y encriptación caótica,” Tesis Doctoral. Instituto de Física, Universidad de Antioquia, Medellín, Colombia, 2017.