A new automatic watermarking algorithm based on Fuzzy Logic and Harris Hawks optimization

Subject Areas : Image and Video Processing

Mehdi Fallah Kazemi ¹ (Assistant Professor, Department of Electrical Engineering, Lahijan Branch, Islamic Azad University (IAU), Lahijan, Iran)
Arash Ahmadpour ² (Assistant Professor, Department of Electrical Engineering, Lahijan Branch, Islamic Azad University (IAU), Lahijan, Iran)
Nadia Pourmahdi ³ (MSc. , Department of Computer Engineering, Lahijan Branch, Islamic Azad University (IAU), Lahijan, Iran)

Received: 2023-10-11 Accepted : 2023-11-21 Published : 2024-03-23

Keywords: HHO, Fuzzy Inference, Watermarking, Pyramidal Directional Filter Bank Decomposition,

Abstract :

This paper presents a new watermarking method to improve the robustness and transparency of extracted and host images. The embedding process is based on decomposing of pyramidal directional filter bank and triangular matrix, while the watermark extraction process is based on Mamdani fuzzy logic. In this design, in order to obtain efficient robustness and transparency, the Harris hawks optimization algorithm is used to find the best value of embedding factor. For this purpose, in the embedding algorithm, pyramid directional filter bank decomposition is utilized and accordingly the approximation sub-bands are divided into 8*8 non-overlapping blocks. Moreover, by decomposing the triangular matrix, which embeds the watermark bits in the matrix element, the use of Mamdani implication and the product inference engine have led to an efficient watermark extraction. The simulation results show that the quality of the watermarked image is equal to 60.6dB. Furethermore, applying the proposed algorithm is strong against attacks.

References:

[1] Z. Wang, A. C. Bovik, H. R. Sheikh and E. P. Simoncelli, “Image Quality Assessment: From Error Visibility to Structural Similarity,” IEEE Transactions on Image Processing, vol. 13, no. 4, pp. 600–612, Apr. 2004, doi: 10.1109/tip.2003.819861.

[2] A. A. Heidari, S. Mirjalili, H. Faris, I. Aljarah, M. Mafarja and H. Chen, “Harris hawks optimization: Algorithm and applications,” Future Generation Computer Systems, vol. 97, pp. 849–872, Aug. 2019, doi: 10.1016/j.future.2019.02.028.

[3] Q. Su and B. Chen, “Robust color image watermarking technique in the spatial domain,” Soft Computing, vol. 22, no. 1, pp. 91–106, Jan. 2017, doi: 10.1007/s00500-017-2489-7.

[4] J. Abraham and V. Paul, “An imperceptible spatial domain color image watermarking scheme,” Journal of King Saud University - Computer and Information Sciences, vol. 31, no. 1, pp. 125–133, Jan. 2019, doi: 10.1016/j.jksuci.2016.12.004.

[5] X. Zhang, Q. Su, Z. Yuan and D. Liu, “An efficient blind color image watermarking algorithm in spatial domain combining discrete Fourier transform,” Optik, vol. 219, p. 165272, Oct. 2020, doi: 10.1016/j.ijleo.2020.165272.

[6] M. F. Kazemi and A. H. Mazinan, “Neural network based CT-Canny edge detector considering watermarking framework,” Evolving Systems, vol. 13, no. 1, pp. 145–157, Mar. 2021, doi: 10.1007/s12530-021-09369-2.

[7] M. F. Kazemi, M. A. Pourmina and A. H. Mazinan, “Novel Neural Network Based CT-NSCT Watermarking Framework Based upon Kurtosis Coefficients,” Sensing and Imaging, vol. 21, no. 1, Dec. 2019, doi: 10.1007/s11220-019-0270-y.

[8] M. F. Kazemi, M. A. Pourmina and A. H. Mazinan, “Analysis of watermarking framework for color image through a neural network-based approach,” Complex & Intelligent Systems, vol. 6, no. 1, pp. 213–220, Jan. 2020, doi: 10.1007/s40747-020-00129-4.

[9] H. M. Al-Otum, “Secure and robust host-adapted color image watermarking using inter-layered wavelet-packets,” Journal of Visual Communication and Image Representation, vol. 66, p. 102726, Jan. 2020, doi: 10.1016/j.jvcir.2019.102726.

[10] R. Thanki, A. Kothari and D. Trivedi, “Hybrid and blind watermarking scheme in DCuT – RDWT domain,” Journal of Information Security and Applications, vol. 46, pp. 231–249, Jun. 2019, doi: 10.1016/j.jisa.2019.03.017.

[11] A. M. Abdelhakim, M. H. Saad, M. Sayed and H. I. Saleh, “Optimized SVD-based robust watermarking in the fractional Fourier domain,” Multimedia Tools and Applications, vol. 77, no. 21, pp. 27895–27917, Apr. 2018, doi: 10.1007/s11042-018-6014-5.

[12] F. Ernawan and M. N. Kabir, “A block-based RDWT-SVD image watermarking method using human visual system characteristics,” The Visual Computer, vol. 36, no. 1, pp. 19–37, Jun. 2018, doi: 10.1007/s00371-018-1567-x.

[13] N. M. Makbol and B. E. Khoo, “Robust blind image watermarking scheme based on Redundant Discrete Wavelet Transform and Singular Value Decomposition,” AEU - International Journal of Electronics and Communications, vol. 67, no. 2, pp. 102–112, Feb. 2013, doi: 10.1016/j.aeue.2012.06.008.

[14] M. N. Do and M. Vetterli, “The contourlet transform: an efficient directional multiresolution image representation,” IEEE Transactions on Image Processing, vol. 14, no. 12, pp. 2091–2106, Dec. 2005, doi: 10.1109/tip.2005.859376.