Reversible Color Image Watermarking Using Fractional-Order Polar Harmonic Transforms and a Chaotic Sine Map

Watermarking of digital images is a well-known technique that is widely used for securing image contents. A successful watermarking method must be accurate, reversible, resilient, and robust against various attacks. In this paper, we propose a reversible and robust color image watermarking method. A new set of multi-channel fractional-order polar harmonic transforms and their geometric invariants have been derived. These highly accurate and geometrically invariant features are used in the watermarking process. The binary watermark’s bits were scrambled using a 1D chaotic sine map to increase the security level. A set of experiments were performed to evaluate the proposed watermarking method, and its performance was compared with recent color image watermarking methods having similar colors. The obtained results showed high visual imperceptibility and superior robustness against geometric and signal processing attacks.

[1]  Xiang Zhang,et al.  A Semi-Fragile Reversible Watermarking for Authenticating 2D Engineering Graphics Based on Improved Region Nesting , 2021, IEEE Transactions on Circuits and Systems for Video Technology.

[2]  Jan Flusser,et al.  Affine Moment Invariants of Color Images , 2009, CAIP.

[3]  Hassan Qjidaa,et al.  Fractional Charlier moments for image reconstruction and image watermarking , 2020, Signal Process..

[4]  Yajun Chen,et al.  Rotation and scale invariant image watermarking based on polar harmonic transforms , 2019, Optik.

[5]  Xiangyang Wang,et al.  Robust Color Image Watermarking Using Geometric Invariant Quaternion Polar Harmonic Transform , 2015, ACM Trans. Multim. Comput. Commun. Appl..

[6]  Yuanyuan Xu,et al.  Complex Wavelet-Domain Image Watermarking Algorithm Using $$L_1$$L1-Norm Function-Based Quantization , 2018, Circuits Syst. Signal Process..

[7]  Khalid M. Hosny,et al.  A kernel-based method for fast and accurate computation of PHT in polar coordinates , 2016, Journal of Real-Time Image Processing.

[8]  A. Booth Numerical Methods , 1957, Nature.

[9]  Xingyuan Wang,et al.  Robust image watermarking using invariant accurate polar harmonic Fourier moments and chaotic mapping , 2020, Signal Process..

[10]  Yuk-Hee Chan,et al.  A Framework of Reversible Color-to-Grayscale Conversion With Watermarking Feature , 2020, IEEE Transactions on Image Processing.

[11]  Xinpeng Zhang,et al.  Fragile image watermarking with pixel-wise recovery based on overlapping embedding strategy , 2017, Signal Process..

[12]  Xiangyang Wang,et al.  Quaternion polar complex exponential transform for invariant color image description , 2015, Appl. Math. Comput..

[13]  Khalid M. Hosny,et al.  Invariant image watermarking using accurate Polar Harmonic Transforms , 2017, Comput. Electr. Eng..

[14]  Jeng-Shyang Pan,et al.  Geometrically invariant image watermarking using Polar Harmonic Transforms , 2012, Inf. Sci..

[15]  Khalid M. Hosny,et al.  New fractional-order Legendre-Fourier moments for pattern recognition applications , 2020, Pattern Recognit..

[16]  Khalid M. Hosny,et al.  Novel fractional-order generic Jacobi-Fourier moments for image analysis , 2020, Signal Process..

[17]  Khalid M. Hosny,et al.  New set of multi-channel orthogonal moments for color image representation and recognition , 2019, Pattern Recognit..

[18]  Miroslaw Pawlak,et al.  Circularly orthogonal moments for geometrically robust image watermarking , 2007, Pattern Recognit..

[19]  Khalid M. Hosny,et al.  Copy-for-duplication forgery detection in colour images using QPCETMs and sub-image approach , 2019, IET Image Process..

[20]  Chuan Zhang,et al.  Robust zero-watermarking algorithm based on polar complex exponential transform and logistic mapping , 2017, Multimedia Tools and Applications.

[21]  Ahmed H. Tewfik,et al.  Geometric distortion correction through image normalization , 2000, 2000 IEEE International Conference on Multimedia and Expo. ICME2000. Proceedings. Latest Advances in the Fast Changing World of Multimedia (Cat. No.00TH8532).

[22]  Khalid M. Hosny,et al.  Robust Color Image Hashing Using Quaternion Polar Complex Exponential Transform for Image Authentication , 2018, Circuits Syst. Signal Process..

[23]  WangXiangyang,et al.  Quaternion Exponent Moments Based Robust Color Image Watermarking , 2016 .

[24]  Khalid M. Hosny,et al.  Novel fractional-order polar harmonic transforms for gray-scale and color image analysis , 2020, J. Frankl. Inst..

[25]  Chandan Singh,et al.  Multi-channel versus quaternion orthogonal rotation invariant moments for color image representation , 2018, Digit. Signal Process..

[26]  Chokri Ben Amar,et al.  Novel and Robust Image Watermarking for Copyright Protection and Integrity Control , 2020, Circuits Syst. Signal Process..

[27]  Xiaoxiao Li,et al.  Efficient copyright protection for three CT images based on quaternion polar harmonic Fourier moments , 2019, Signal Process..

[28]  Ismail A. Ismail,et al.  Invariant Image Watermarking Using Accurate Zernike Moments , 2010 .

[29]  Yu Zhang,et al.  Robust watermarking using orthogonal Fourier-Mellin moments and chaotic map for double images , 2016, Signal Process..

[30]  Rui Li,et al.  Color medical image lossless watermarking using chaotic system and accurate quaternion polar harmonic transforms , 2019, Signal Process..

[31]  Yicong Zhou,et al.  Cosine-transform-based chaotic system for image encryption , 2019, Inf. Sci..

[32]  Khalid M. Hosny,et al.  Classification of galaxy color images using quaternion polar complex exponential transform and binary Stochastic Fractal Search , 2020, Astron. Comput..

[33]  Khalid M. Hosny,et al.  Improved Color Image Watermarking Using Logistic Maps and Quaternion Legendre-Fourier Moments , 2020 .

[34]  Chin-Chen Chang,et al.  Non-uniform Watermark Sharing Based on Optimal Iterative BTC for Image Tampering Recovery , 2018, IEEE MultiMedia.

[35]  Khalid M. Hosny,et al.  Resilient Color Image Watermarking Using Accurate Quaternion Radial Substituted Chebyshev Moments , 2019, ACM Trans. Multim. Comput. Commun. Appl..

[36]  Xudong Jiang,et al.  Two-Dimensional Polar Harmonic Transforms for Invariant Image Representation , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[37]  Bolei Zhou,et al.  Scene Parsing through ADE20K Dataset , 2017, 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[38]  Khalid M. Hosny,et al.  Robust color image watermarking using invariant quaternion Legendre-Fourier moments , 2018, Multimedia Tools and Applications.

[39]  Khalid M. Hosny,et al.  Novel Multi-Channel Fractional-Order Radial Harmonic Fourier Moments for Color Image Analysis , 2020, IEEE Access.

[40]  Miroslaw Pawlak,et al.  Accurate Computation of Zernike Moments in Polar Coordinates , 2007, IEEE Transactions on Image Processing.

[41]  Xiangyang Wang,et al.  Invariant color image watermarking approach using quaternion radial harmonic Fourier moments , 2015, Multimedia Tools and Applications.

[42]  Yifeng Zhang,et al.  Digital Watermarking Based on Joint DWT–DCT and OMP Reconstruction , 2019, Circuits Syst. Signal Process..