Education, Science, Technology, Innovation and Life
Open Access
Sign In

Optimized Zero-Watermarking Algorithm for Color Stereoscopic Images Based on OPCET

Download as PDF

DOI: 10.23977/jipta.2025.080110 | Downloads: 6 | Views: 324

Author(s)

Chunpeng Wang 1,2, Guangze Li 1,2, Tingting Dai 3, Dandan Han 3

Affiliation(s)

1 Laboratory of Computing Power Network and Information Security, Ministry of Education, Shandong Computer Science Center, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China
2 Shandong Provincial Key Laboratory of Computer Networks, Shandong Fundamental Research Center for Computer Science, Jinan, 250353, China
3 Shandong Qingcheng Digital Technology Co., Ltd., Jinan, 250353, China

Corresponding Author

Chunpeng Wang

ABSTRACT

Color stereoscopic images have gained widespread attention due to their immersive experience in various applications. However, the accompanying issue of copyright protection has become increasingly prominent. Existing watermarking algorithms fail to effectively model the six-channel structure of color stereoscopic images (left-view R/G/B, right-view R/G/B), neglecting the intrinsic coupling relationships between viewpoints and color channels, resulting in limited robustness. To address this, this paper proposes a zero-watermarking algorithm for color stereoscopic images based on the Octonion Polar Complex Exponential Transform (OPCET) to achieve lossless copyright protection. Additionally, an optimization strategy for magnitude values is introduced to enhance the robustness and anti-attack capabilities of the watermark. Experimental results show that the proposed algorithm exhibits excellent robustness in multiple attack scenarios.

KEYWORDS

Color Stereoscopic Image; Octonion; PCET; Zero-Watermarking; Magnitude Optimization Strategy

CITE THIS PAPER

Chunpeng Wang, Guangze Li, Tingting Dai, Dandan Han, Optimized Zero-Watermarking Algorithm for Color Stereoscopic Images Based on OPCET. Journal of Image Processing Theory and Applications (2025) Vol. 8: 78-88. DOI: http://dx.doi.org/10.23977/jipta.2025.080110.

REFERENCES

[1] Q. Wen, T. Sun, S. Wang, Concept and application of zero-watermark, ACTA ELECTONICA SINICA 31 (2003) 214–216.
[2] J. Yang, Z. Zeng, T. Kwong, Y.Y. Tang, Y. Wang, Local Orthogonal Moments for Local Features, IEEE Transactions on Image Processing 32 (2023) 3266–3280.
[3] K. El-Khanchouli, H. Mansouri, N.E. Ghouate, H. Karmouni, N.-E. Joudar, M. Sayyouri, S.S. Askar, M. Abouhawwash, Protecting Medical Images Using a Zero-Watermarking Approach Based on Fractional Racah Moments, IEEE Access 13 (2025) 16978–17001.
[4] H. Wang, Y. Chen, T. Zhao, Modified Zernike Moments and Its Application in Geometrically Resilient Image Zero-Watermarking, Circuits, Systems, and Signal Processing 41 (2022) 6844–6861.
[5] D. Fu, X. Zhou, L. Xu, K. Hou, X. Chen, Robust Reversible Watermarking by Fractional Order Zernike Moments and Pseudo-Zernike Moments, IEEE Transactions on Circuits and Systems for Video Technology 33 (2023) 7310–7326.
[6] C. Wang, L. Chen, Z. Xia, J. Li, Q. Li, Z. Wei, C. Wang, B. Han, Novel Quaternion Orthogonal Fourier-Mellin Moments Using Optimized Factorial Calculation, in: B. Ma, J. Li, Q. Li (Eds.), Digital Forensics and Watermarking, Springer Nature Singapore, Singapore, 2024: pp. 262–276.
[7] J. Yang, X. Yuan, X. Lu, Y. Yan Tang, Adjustable Jacobi–Fourier Moment for Image Representation, IEEE Transactions on Cybernetics 55 (2025) 207–220.
[8] H.-Y. Yang, X.-Y. Wang, P. Wang, P.-P. Niu, Geometrically resilient digital watermarking scheme based on radial harmonic Fourier moments magnitude, AEU - International Journal of Electronics and Communications 69 (2015) 389–399.
[9] C. Wang, X. Wang, Z. Xia, B. Ma, Y.-Q. Shi, Image description with polar harmonic fourier moments, IEEE Transactions on Circuits and Systems for Video Technology 30 (2020) 4440–4452.
[10] C. Wang, X. Wang, X. Chen, C. Zhang, Robust zero-watermarking algorithm based on polar complex exponential transform and logistic mapping, Multimedia Tools and Applications 76 (2017) 26355–26376.
[11] X. Wang, Y. Liu, H. Xu, P. Wang, H. Yang, Robust copy–move forgery detection using quaternion exponent moments, Pattern Analysis and Applications 21 (2018) 451–467. 
[12] Y. Liu, S. Zhang, J. Yang, Color image watermark decoder by modeling quaternion polar harmonic transform with BKF distribution, Signal Processing: Image Communication 88 (2020) 115946.
[13] T. Sheng, W. Zeng, B. Yang, C. Fu, Adaptive multiple zero-watermarking based on local fast quaternion radial harmonic Fourier moments for color medical images, Biomedical Signal Processing and Control 86 (2023) 105304.
[14] S. Yang, A. Deng, Quaternion fast and accurate polar harmonic Fourier moments for color image analysis and object recognition, J. Opt. Soc. Am. A 41 (2024) 852–862.
[15] C. Wang, X. Wang, Z. Xia, C. Zhang, Ternary radial harmonic Fourier moments based robust stereo image zero-watermarking algorithm, Information Sciences 470 (2019) 109–120.
[16] B. Ma, L. Chang, C. Wang, J. Li, G. Li, Z. Xia, X. Wang, Double Medical Images Zero-Watermarking Algorithm Based on the Chaotic System and Ternary Accurate Polar Complex Exponential Transform, Journal of Mathematical Imaging and Vision 63 (2021) 1160–1178.
[17] E. Elbasi, V. Kaya, Robust Medical Image Watermarking Using Frequency Domain and Least Significant Bits Algorithms, in: 2018 International Conference on Computing Sciences and Engineering (ICCSE), 2018: pp. 1–5.
[18] H. Shi, S. Zhou, M. Chen, M. Li, A novel zero-watermarking algorithm based on multi-feature and DNA encryption for medical images, Multimedia Tools and Applications 82 (2023) 36507–36552.
[19] M. Cedillo-Hernandez, F. Garcia-Ugalde, M. Nakano-Miyatake, H. Perez-Meana, Robust watermarking method in DFT domain for effective management of medical imaging, Signal, Image and Video Processing 9 (2015) 1163–1178.
[20] S.A. Nawaz, J. Li, M.U. Shoukat, U.A. Bhatti, M.A. Raza, Hybrid medical image zero watermarking via discrete wavelet transform-ResNet101 and discrete cosine transform, Computers and Electrical Engineering 112 (2023) 108985.
[21] Y. Lu, X. Lu, G. Yang, X. Xiong, Robust zero-watermarking algorithm for multi-medical images based on FFST-Schur and Tent mapping, Biomedical Signal Processing and Control 96 (2024) 106557.
[22] S. Kahdim, A. Abduldaim, Zero watermarking technique using LWT, International Journal of Nonlinear Analysis and Applications 14 (2023) 2399–2407.
[23] G. Gao, G. Jiang, Bessel-Fourier moment-based robust image zero-watermarking, Multimedia Tools and Applications 74 (2015) 841–858.
[24] Z. Shao, Y. Shang, R. Zeng, H. Shu, G. Coatrieux, J. Wu, Robust watermarking scheme for color image based on quaternion-type moment invariants and visual cryptography, Signal Processing: Image Communication 48 (2016) 12–21.
[25] C. Wang, B. Ma, Z. Xia, J. Li, Q. Li, Y.-Q. Shi, Stereoscopic Image Description With Trinion Fractional-Order Continuous Orthogonal Moments, IEEE Transactions on Circuits and Systems for Video Technology 32 (2022) 1998–2012.
[26] Z. Shao, Y. Shang, Y. Zhang, X. Liu, G. Guo, Robust watermarking using orthogonal Fourier–Mellin moments and chaotic map for double images, Signal Processing 120 (2016) 522–531.
[27] M. Yamni, H. Karmouni, M. Sayyouri, H. Qjidaa, J. Flusser, Novel Octonion Moments for color stereo image analysis, Digital Signal Processing 108 (2021) 102878.
[28] C. Wang, Q. Hao, B. Ma, X. Wu, J. Li, Z. Xia, H. Gao, Octonion continuous orthogonal moments and their applications in color stereoscopic image reconstruction and zero-watermarking, Engineering Applications of Artificial Intelligence 106 (2021) 104450.
[29] Z. Yang, L. Yang, G. Chen, P.-T. Yap, Improved polar complex exponential transform for robust local image description, Pattern Recognition 143 (2023) 109786.
[30] W.-J. Zhou, M. Yu, S.-M. Yu, A zero-watermarking algorithm of stereoscopic image based on hyperchaotic system, Acta Physica Sinica 61 (2012) 117–126.
[31] C. Wang, Q. Hao, B. Ma, X. Wu, J. Li, Z. Xia, H. Gao, Octonion continuous orthogonal moments and their applications in color stereoscopic image reconstruction and zero-watermarking, Engineering Applications of Artificial Intelligence 106 (2021) 104450.
[32] X. Kang, F. Zhao, Y. Chen, G. Lin, C. Jing, Combining polar harmonic transforms and 2D compound chaotic map for distinguishable and robust color image zero-watermarking algorithm, Journal of Visual Communication and Image Representation 70 (2020) 102804.
[33] R. Chu, S. Zhang, J. Mou, X. Gao, A zero-watermarking for color image based on LWT-SVD and chaotic system, Multimedia Tools and Applications 82 (2023) 34565–34588. 

Downloads: 2241
Visits: 161903

Sponsors, Associates, and Links


All published work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright © 2016 - 2031 Clausius Scientific Press Inc. All Rights Reserved.