Research Article

A Novel Watermarking Method with Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain

Volume: 9 Number: 1 January 15, 2026
EN TR

A Novel Watermarking Method with Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain

Abstract

A new digital image watermarking method based on dual-tree complex wavelet transform is proposed. The proposed method is shown to be robust to geometric and non-geometric modifications performed on the watermarked image. The complex wavelet domain for watermark insertion gives rise to robustness for non-geometric modifications, while the image normalization provides robustness against geometric modifications. First, the original image is normalized. Then, a watermark is generated such that the capacity is more than one bit according to the properties of the human visual system, and it is added to the three detail subbands coefficients of the normalized image at the first decomposition level in the complex wavelet domain. Finally, successive applications of the inverse complex wavelet transform and the inverse normalization give the watermarked image. Computer simulations show that the method is robust to numerous image manipulations and is superior to the existing digital image watermarking approaches. However, the implementation of the complex wavelet transform is computationally costly. Hence, dual tree implementation is used to reduce computational complexity in the experiments.

Keywords

Ethical Statement

Since no studies involving humans or animals were conducted, ethical committee approval was not required for this study.

References

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  2. Barni, M., Bartolini, F., & Piva, A. (2001). Improved wavelet-based watermarking through pixel-wise masking. IEEE Transactions on Image Processing, 10(5), 783–791. https://doi.org/10.1109/83.918570
  3. Begum, M., & Uddin, M. S. (2020). Digital image watermarking techniques: A review. Information, 11(2), 110. https://doi.org/10.3390/info11020110
  4. Dash, A., Naik, K., & Priyadarshini, P. (2025). Robust digital image watermarking using hybrid optimization technique. In Intelligent Computing Techniques and Applications (pp. 300–305).
  5. Dong, P., & Galatsanos, N. P. (2002). Affine transformation resistant watermarking based on image normalization. In Proceedings of IEEE International Conference on Image Processing (Vol. 3, pp. 489–492).
  6. Eldaoushy, A. F., Desouky, M. I., El-Dolil, S. A., El-Fishawy, A. S., & El-Samie, F. E. A. (2023). Efficient hybrid digital image watermarking. Journal of Optics, 52(4), 2224-2238. https://doi.org/10.1007/s12596-023-01144-7
  7. Guo, L., & Zhou, J. (2010). A new robust digital watermarking based on complex wavelet transform. In Proceedings of the International Conference on E-Business and E-Government (ICEE) (pp. 3529–3532).
  8. Jia, Z., Fang, H., & Zhang, W. (2021). MBRS: Enhancing robustness of DNN-based watermarking by mini-batch of real and simulated JPEG compression. In Proceedings of the 29th ACM International Conference on Multimedia (pp. 41–49).

Details

Primary Language

English

Subjects

Signal Processing

Journal Section

Research Article

Early Pub Date

December 3, 2025

Publication Date

January 15, 2026

Submission Date

August 17, 2025

Acceptance Date

November 15, 2025

Published in Issue

Year 2026 Volume: 9 Number: 1

APA
Çakar Kaman, S., & Vural, C. (2026). A Novel Watermarking Method with Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain. Black Sea Journal of Engineering and Science, 9(1), 105-113. https://doi.org/10.34248/bsengineering.1767368
AMA
1.Çakar Kaman S, Vural C. A Novel Watermarking Method with Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain. BSJ Eng. Sci. 2026;9(1):105-113. doi:10.34248/bsengineering.1767368
Chicago
Çakar Kaman, Serap, and Cabir Vural. 2026. “A Novel Watermarking Method With Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain”. Black Sea Journal of Engineering and Science 9 (1): 105-13. https://doi.org/10.34248/bsengineering.1767368.
EndNote
Çakar Kaman S, Vural C (January 1, 2026) A Novel Watermarking Method with Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain. Black Sea Journal of Engineering and Science 9 1 105–113.
IEEE
[1]S. Çakar Kaman and C. Vural, “A Novel Watermarking Method with Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain”, BSJ Eng. Sci., vol. 9, no. 1, pp. 105–113, Jan. 2026, doi: 10.34248/bsengineering.1767368.
ISNAD
Çakar Kaman, Serap - Vural, Cabir. “A Novel Watermarking Method With Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain”. Black Sea Journal of Engineering and Science 9/1 (January 1, 2026): 105-113. https://doi.org/10.34248/bsengineering.1767368.
JAMA
1.Çakar Kaman S, Vural C. A Novel Watermarking Method with Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain. BSJ Eng. Sci. 2026;9:105–113.
MLA
Çakar Kaman, Serap, and Cabir Vural. “A Novel Watermarking Method With Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain”. Black Sea Journal of Engineering and Science, vol. 9, no. 1, Jan. 2026, pp. 105-13, doi:10.34248/bsengineering.1767368.
Vancouver
1.Serap Çakar Kaman, Cabir Vural. A Novel Watermarking Method with Resistance to Image Manipulations via Dual-Tree Complex Wavelet Domain. BSJ Eng. Sci. 2026 Jan. 1;9(1):105-13. doi:10.34248/bsengineering.1767368

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