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Color image encryption using affine transform in fractional Hartley domain

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A novel scheme for color image encryption using the fractional Hartley and affine transforms is proposed. An input color image is first decomposed in its RGB (red, green and blue) components. Each component is bonded with a random phase mask and then subjected to a fractional Hartley transform followed by affine transform. Thereafter, a second random phase mask is applied to each component before the final transformation by fractional Hartley transform resulting in a component-wise encrypted image. Finally, all three components are combined to give a single channel encrypted image. The scheme is validated with numerical simulations performed on a color image of size 256 × 256 × 3 pixels using MATLAB 7.14. The use of affine transform along with fractional Hartley transform adds to the security. The scheme is evaluated for its sensitivity to the parameters of the fractional Hartley and affine transforms. On analysing the plots of correlation coefficient and mean-squared-error, the scheme is found to be highly sensitive to the encryption parameters. Also, it is evaluated for its robustness against the usual noise and occlusion attacks. The proposed scheme is secure and robust owing to multiplicity of encryption parameters introduced through the type of transforms used.
Czasopismo
Rocznik
Strony
421--433
Opis fizyczny
Bibliogr. 27 poz., rys.
Twórcy
autor
  • Amity School of Applied Sciences, Amity University Haryana, Gurgaon-122413, India
autor
  • Amity School of Applied Sciences, Amity University Haryana, Gurgaon-122413, India
autor
  • Department of Applied Sciences, The NorthCap University, Gurgaon-122 017, India
Bibliografia
  • [1] PEREZ-CABRE E., MILLAN M.S., Optical data encryption, [In] Optical and Digital Image Processing: Fundamentals and Applications, Cristobal G., Schelkens P., Thienpont H., [Eds.], Wiley, 2011, pp. 739–767.
  • [2] WEN CHEN, JAVIDI B., XUDONG CHEN, Advances in optical security systems, Advances in Optics and Photonics 6(2), 2014, pp. 120–155.
  • [3] JAVIDI B., CARNICER A., YAMAGUCHI M., NOMURA T., PÉREZ-CABRÉ E., MILLÁN M.S., NISHCHAL N.K., TORROBA R., BARRERA J.F., WENQI HE, XIANG PENG, STERN A., RIVENSON Y., ALFALOU A., BROSSEAU C., CHANGLIANG GUO, SHERIDAN J.T., GUOHAI SITU, NARUSE M., MATSUMOTO T., JUVELLS I., TAJAHUERCE E., LANCIS J., WEN CHEN, XUDONG CHEN, PINKSE P.W.H., MOSK A.P., MARKMAN A., Roadmap on optical security, Journal of Optics 18(8), 2016, article ID 083001.
  • [4] REFREIGER P., JAVIDI B., Optical image encryption based on input plane and Fourier plane random encoding, Optics Letters 20(7), 1995, pp. 767–769.
  • [5] KUMAR P., JOSEPH J., SINGH K., Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and counter measures, [In] Linear Canonical Transforms: Theory and Applications, Healy J.J., Kutay M.A., Ozaktas H.M., Sheridan J.T., [Eds.], Springer Science, New York, 2016, Chap.13, pp. 367–396.
  • [6] LINFEI CHEN, DAOMU ZHAO, Optical image encryption with Hartley transforms, Optics Letters 31(23), 2006, pp. 3438–3440.
  • [7] UNNIKRISHNAN G., JOSEPH J., SINGH K., Optical encryption by double-random phase encoding in the fractional Fourier domain, Optics Letters 25(12), 2000, pp. 887–889.
  • [8] HENNELLY B.M., SHERIDAN J.T., Image encryption and the fractional Fourier transform, Optik – International Journal for Light and Electron Optics 114(6), 2003, pp. 251–265.
  • [9] NANRUN ZHOU, YIXIAN WANG, LIHUA GONG, Novel optical image encryption scheme based on fractional Mellin transform, Optics Communications 284(13), 2011, pp. 3234–3242.
  • [10] VASHISTH S., SINGH H., YADAV A.K., SINGH K., Image encryption using fractional Mellin transform, structured phase filters, and phase retrieval, Optik – International Journal for Light and Electron Optics 125(18), 2014, pp. 5309–5315.
  • [11] VASHISTH S., SINGH H., YADAV A.K., SINGH K., Devil’s vortex phase structure as frequency plane mask for image encryption using the fractional Mellin transform, International Journal of Optics, Vol. 2014, 2014, article ID 728056.
  • [12] SOO-CHANG PEI, CHIEN-CHENG TSENG, MIN-HUNG YEH, JONG-JY SHYU, Discrete fractional Hartley and Fourier transforms, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 45(6), 1998, pp. 665–675.
  • [13] ALIEVA T., BASTIAANS M.J., CALVO M.L., Fractional transforms in optical information processing, EURASIP Journal on Advances in Signal Processing 10, 2005, pp. 1498–1519.
  • [14] LI XIN-XIN, ZHAO DAO-MU, Optical image encryption with simplified fractional Hartley transform, Chinese Physics Letters 25(7), 2008, pp. 2477–2480.
  • [15] DAOMU ZHAO, XINXIN LI, LINFEI CHEN, Optical image encryption with redefined fractional Hartley transform, Optics Communications 281(21), 2008, pp. 5326–5329.
  • [16] XINXIN LI, DAOMU ZHAO, Optical color image encryption with redefined fractional Hartley transform, Optik – International Journal for Light and Electron Optics 121(7), 2010, pp. 673–677.
  • [17] JIMENEZ C., TORRES C., MATTOS L., Fractional Hartley transform applied to optical image encryption, Journal of Physics: Conference Series 274(1), 2011, article ID 012041.
  • [18] VILARDY J.M., TORRES C.O., JIMENEZ C.J., Double image encryption method using the Arnold transform in the fractional Hartley domain, Proceedings of SPIE 8785, 2013, article ID 87851R.
  • [19] YE LIU, JUAN DU, JINGHUI FAN, LIHUA GONG, Single-channel color image encryption algorithm based on fractional Hartley transform and vector operation, Multimedia Tools and Applications 74(9), 2015, pp. 3171–3182.
  • [20] WEN-LIANG HSUE, WEI-CHING CHANG, Real discrete fractional Fourier, Hartley, generalized Fourier and generalized Hartley transforms with many parameters, IEEE Transactions on Circuits and Systems I: Regular Papers 62(10), 2015, pp. 2594–2605.
  • [21] SINGH P., YADAV A.K., SINGH K., Phase image encryption in the fractional Hartley domain using Arnold transform and singular value decomposition, Optics and Lasers in Engineering 91, 2017, pp. 187–195.
  • [22] NAG A., SINGH J.P., KHAN S., GHOSH S., BISWAS S., SARKAR D., SARKAR P.P., Image encryption using affine transform and XOR operation, 2011 International Conference on Signal Processing, Communication, Computing and Networking Technologies, 2011, pp. 309–312.
  • [23] SHUQUN ZHANG, KARIM M.A., Color image encryption using double random phase encoding, Microwave and Optical Technology Letters 21(5), 1999, pp. 318–322.
  • [24] ZHENGJUN LIU, JINGMIN DAI, XIAOGANG SUN, SHUTIAN LIU, Color image encryption by using the rotation of color vector in Hartley transform domains, Optics and Lasers in Engineering 48(7–8), 2010, pp. 800–805.
  • [25] ZHENGJUN LIU, LIE XU, TING LIU, HANG CHEN, PENGFEI LI, CHUANG LIN, SHUTIAN LIU, Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains, Optics Communications 284(1), 2011, pp. 123–128.
  • [26] ZHENGJUN LIU, YU ZHANG, WEI LIU, FANYI MENG, QUN WU, SHUTIAN LIU, Optical color image hiding scheme based on chaotic mapping and Hartley transform, Optics and Lasers in Engineering 51(8), 2013, pp. 967–972.
  • [27] SINGH H., YADAV A.K., VASHISTH S., SINGH K., Double phase-image encryption using gyrator trans- forms, and structured phase mask in the frequency plane, Optics and Lasers in Engineering 67, 2015, pp. 145–156.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ac10b418-71b3-4aa5-8bc1-1e37b48bf4c9
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