Optical asymmetric watermarking using 4D hyperchaotic system and modified equal modulus decomposition in hybrid multi resolution wavelet domain

Abstract In this paper, an asymmetric optical watermarking scheme using 4D hyperchaotic system with coherent superposition and modified equal modulus decomposition in hybrid multi-resolution wavelet domain is proposed. The 4D hyperchaotic system is used for generating permutation keystream for a pixel-swapping mechanism. The hybrid multi-resolution is generated using both the fractional Fourier transform of multiple orders and Walsh transform. The 4D hyperchaotic system’s parameters and initial conditions along with the multiple fractional orders of the fractional Fourier transform increase the key-space and hence provide additional strength to the watermarking mechanism. The designed watermarking scheme is non-linear in nature and resists brute-force attack due to its large key-space. Computer-based simulations have been performed on grayscale images to verify the validity and performance of the scheme against various attacks including special attack. Results show that the proposed watermarking scheme not only offers high resistance to occlusion and noise attacks but is also invulnerable to the special attack.

[1]  Muhammad Rafiq Abuturab.  Group multiple-image encoding and watermarking using coupled logistic maps and gyrator wavelet transform. , 2015, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  B Javidi,et al.  Optical image encryption based on input plane and Fourier plane random encoding. , 1995, Optics letters.

[3]  Ming Lei,et al.  Asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition. , 2015, Optics letters.

[4]  Zhengjun Liu,et al.  Asymmetric color cryptosystem using chaotic Ushiki map and equal modulus decomposition in fractional Fourier transform domains , 2019, Optics and Lasers in Engineering.

[5]  Zhe Chen,et al.  A New Chaos-Based Color Image Encryption Scheme with an Efficient Substitution Keystream Generation Strategy , 2018, Secur. Commun. Networks.

[6]  Y. Mu,et al.  Optical Image Encryption Based on Chaotic Baker Map and Double Random Phase Encoding , 2013, Journal of Lightwave Technology.

[7]  Simin Yu,et al.  Generating hyperchaotic Lü attractor via state feedback control , 2006 .

[8]  Kehar Singh,et al.  Phase image encryption in the fractional Hartley domain using Arnold transform and singular value decomposition , 2017 .

[9]  Bahram Javidi,et al.  Fully phase encrypted image processor , 1999 .

[10]  Isha Mehra,et al.  Optical asymmetric watermarking using modified wavelet fusion and diffractive imaging , 2015 .

[11]  Yiran Chen,et al.  A novel chaos-based image encryption algorithm using DNA sequence operations , 2017 .

[12]  Muhammad Rafiq Abuturab,et al.  Asymmetric cryptosystem using coherent superposition and equal modulus decomposition of fractional Fourier spectrum , 2016 .

[13]  Neha Sharma,et al.  Phase-Image Encryption Based on 3D-Lorenz Chaotic System and Double Random Phase Encoding , 2017 .

[14]  Phool Singh,et al.  Analysis of Lorenz-chaos and exclusive-OR based image encryption scheme , 2017, Int. J. Soc. Comput. Cyber Phys. Syst..

[15]  Alex Biryukov,et al.  Chosen Ciphertext Attack , 2005, Encyclopedia of Cryptography and Security.

[16]  Alex Biryukov.  Known plaintext attack , 2005, Encyclopedia of Cryptography and Security.

[17]  Isha Mehra,et al.  Optical image encryption using equal modulus decomposition and multiple diffractive imaging , 2016 .

[18]  Bahram Javidi,et al.  Resistance of the double random phase encryption against various attacks. , 2007, Optics express.

[19]  Tanuja Sarode,et al.  A new multi-resolution hybrid wavelet for analysis and image compression , 2015 .

[20]  Xiang Peng,et al.  Asymmetric cryptosystem based on phase-truncated Fourier transforms. , 2010, Optics letters.

[21]  Xiaopeng Deng,et al.  Asymmetric optical cryptosystem based on coherent superposition and equal modulus decomposition: comment. , 2015, Optics letters.

[22]  Zhiliang Zhu,et al.  Cryptanalysis and improvement of an optical image encryption scheme using a chaotic Baker map and double random phase encoding , 2014 .

[23]  Kehar Singh,et al.  A phase-image watermarking scheme in gyrator domain using devil's vortex Fresnel lens as a phase mask , 2015 .

[24]  Xiaogang Wang,et al.  A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms , 2012 .

[25]  Tian Ailing,et al.  An optical color image watermarking scheme by using compressive sensing with human visual characteristics in gyrator domain , 2017 .

[26]  Xueju Shen,et al.  Modified optical asymmetric image cryptosystem based on coherent superposition and equal modulus decomposition , 2017 .

[27]  Hang Chen,et al.  Asymmetric optical cryptosystem for color image based on equal modulus decomposition in gyrator transform domains , 2017 .

[28]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.