Optical colour image watermarking based on phase-truncated linear canonical transform and image decomposition

This paper presents a novel optical colour image watermarking scheme based on phase-truncated linear canonical transform (PT-LCT) and image decomposition (ID). In this proposed scheme, a PT-LCT-based asymmetric cryptography is designed to encode the colour watermark into a noise-like pattern, and an ID-based multilevel embedding method is constructed to embed the encoded colour watermark into a colour host image. The PT-LCT-based asymmetric cryptography, which can be optically implemented by double random phase encoding with a quadratic phase system, can provide a higher security to resist various common cryptographic attacks. And the ID-based multilevel embedding method, which can be digitally implemented by a computer, can make the information of the colour watermark disperse better in the colour host image. The proposed colour image watermarking scheme possesses high security and can achieve a higher robustness while preserving the watermark's invisibility. The good performance of the proposed scheme has been demonstrated by extensive experiments and comparison with other relevant schemes.

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

[2]  Matthieu Urvoy,et al.  Perceptual DFT Watermarking With Improved Detection and Robustness to Geometrical Distortions , 2014, IEEE Transactions on Information Forensics and Security.

[3]  Mauro Barni,et al.  Improved wavelet-based watermarking through pixel-wise masking , 2001, IEEE Trans. Image Process..

[4]  Javaid A. Sheikh,et al.  Robust and blind watermarking technique in DCT domain using inter-block coefficient differencing , 2016, Digit. Signal Process..

[5]  John T. Sheridan,et al.  Digital image watermarking spread-space spread-spectrum technique based on Double Random Phase Encoding , 2013 .

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

[7]  Taha H. Rassem,et al.  Block-based discrete wavelet transform-singular value decomposition image watermarking scheme using human visual system characteristics , 2016, IET Image Process..

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

[9]  Nan Bao,et al.  Optical information authentication via compressed sensing and double random phase encoding , 2017 .

[10]  Kehar Singh,et al.  Optical encryption using quadratic phase systems , 2001 .

[11]  Peng Zhang,et al.  Known-plaintext attack on optical encryption based on double random phase keys. , 2006, Optics letters.

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

[13]  Antonin Chambolle,et al.  Image Decomposition into a Bounded Variation Component and an Oscillating Component , 2005, Journal of Mathematical Imaging and Vision.

[14]  Xiao-Wei Li,et al.  Encrypting 2D/3D image using improved lensless integral imaging in Fresnel domain , 2016 .

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

[16]  Chen Tang,et al.  Cascaded Fresnel holographic image encryption scheme based on a constrained optimization algorithm and Henon map , 2017 .

[17]  Bahram Javidi,et al.  Advances in optical security systems , 2014 .

[18]  Jiwu Huang,et al.  Reversible image watermarking on prediction errors by efficient histogram modification , 2012, Signal Process..

[19]  John T. Sheridan,et al.  A review of optical image encryption techniques , 2014 .

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

[21]  Chen Tang,et al.  Optical encryption scheme for multiple color images using complete trinary tree structure , 2017 .

[22]  Jingjuan Zhang,et al.  Double random-phase encoding in the Fresnel domain. , 2004, Optics letters.

[23]  Zhengjun Liu,et al.  Image encryption algorithm by using fractional Fourier transform and pixel scrambling operation based on double random phase encoding , 2013 .

[24]  Zhengjun Liu,et al.  Image watermarking by using phase retrieval algorithm in gyrator transform domain , 2010 .

[25]  Kehar Singh,et al.  Double phase-image encryption using gyrator transforms, and structured phase mask in the frequency plane , 2015 .

[26]  Hongtao Lu,et al.  Robust watermarking based on DWT and nonnegative matrix factorization , 2009, Comput. Electr. Eng..

[27]  Damon M. Chandler,et al.  Digital Image Watermarking via Adaptive Logo Texturization , 2015, IEEE Transactions on Image Processing.

[28]  Muhammad Rafiq Abuturab.  Color information cryptosystem based on optical superposition principle and phase-truncated gyrator transform. , 2012, Applied optics.

[29]  Daomu Zhao,et al.  Simultaneous nonlinear encryption of grayscale and color images based on phase-truncated fractional Fourier transform and optical superposition principle. , 2013, Applied optics.

[30]  Peng Zhang,et al.  Chosen-plaintext attack on lensless double-random phase encoding in the Fresnel domain. , 2006, Optics letters.

[31]  Jianzhong Li,et al.  An optimized watermarking scheme using an encrypted gyrator transform computer generated hologram based on particle swarm optimization. , 2014, Optics express.

[32]  Yong Guo,et al.  Blind image watermarking method based on linear canonical wavelet transform and QR decomposition , 2016, IET Image Process..

[33]  Jiasong Wu,et al.  Fractional Krawtchouk Transform With an Application to Image Watermarking , 2017, IEEE Transactions on Signal Processing.

[34]  Muhammad Rafiq Abuturab,et al.  Multiple color-image fusion and watermarking based on optical interference and wavelet transform , 2017 .

[35]  Jun Lang,et al.  Blind digital watermarking method in the fractional Fourier transform domain , 2014 .

[36]  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.