FFT-based watermarking for copyright protection of color image
Keywords:
color image watermarking, copyright protection, fast Fourier transform, singular value decompositionAbstract
Watermarks are commonly used by authors to prevent unauthorized copying and to protect their intellectual property. When a watermark is applied to a digital image, it is expected that the watermark will not be visible, and the watermark will retain its good quality when extracted. This paper is focused on one type of color image watermarking method, by using the Fast Fourier Transform (FFT) algorithm. In this algorithm, the watermark is embedded in the frequency domain of the image. In this way, our watermark algorithm exhibits good quality and demonstrates strong resistance against common attacks. Here, we experimented with compression, blur, object addition, and noise addition.
References
Bracewell, R. N. (2000). The Fourier transform and its applications. New York: McGraw-Hill.
Cox, I. J., Kilian, J., Leighton, F. T., & Shamoon, T. (1997). Secure spread spectrum watermarking for multimedia. IEEE transactions on image processing, 6(12), 1673-1687. https://doi.org/10.1109/83.650120
Cox, I. J., Miller, M. L., & Bloom, J. A. (2000). Watermarking applications and their properties. In Proceedings of the International Conference on Information Technology: Coding and Computing (ITCC), 6-10. IEEE. https://doi.org/10.1109/ITCC.2000.844175
Darmstaedter, V., Delaigle, J.-F., Nicholson, D., & Macq, B. (1998). A block based watermarking technique for MPEG2 signals: Optimization and validation on real digital TV distribution links. In Multimedia Applications, Services and Techniques—ECMATST: Third European Conference, Berlin, Germany, May 26-28, Proceedings, 3, 190-206. Springer Berlin Heidelberg.
Das, S., Bandyopadhay, P., Paul, S., Chauduri, A., & Banarjee, M. (2010). An invisible color watermarking framework for uncompressed video authentication. International Journal of Computer Applications, 1(11), 22-28
Dogan, S., Tuncer, T., Avci, E., & Gulten, A. (2011). A robust color image watermarking with singular value decomposition method. Advance in Engineering Software, 42, 336-346. https://doi.org/10.1016/j.advengsoft.2011.02.012
Eltoukhy, M. M., Khedr, A. E., Abdel-Aziz, M. M., & Hosny, K. M. (2023). Robust watermarking method for securing color medical images using Slant-SVD-QFT transforms and OTP encryption. Alexandria Engineering Journal, 78, 517-529. https://doi.org/10.1016/j.aej.2023.07.068
Gonzales., R. C., & Woods, R. E. (2018). Digital Image Processing. Pearson Education India.
Hu, H. T., Hsu, L. Y., & Chou, H. H. (2020). An improved SVD-based blind color image watermarking algorithm with mixed modulation incorporated. Information Sciences, 519, 161-182. https://doi.org/10.1016/j.ins.2020.01.019
Katzenbeisser, S., & Peticolas, F. A. (Eds.). (2000). Information hiding techniques for steganography and digital watermarking. Artech House.
Li, L., Bai, R., Lu, J., Zhang, S., & Chang, C. C. (2021). A watermarking scheme for color image using quaternion discrete Fourier transform and tensor decomposition. Appl. Sci., 11, 5006. https://doi.org/10.3390/app11115006
Qu, G., Meng, X., Yang, X., Wu, H., Wang, P., He, W., & Chen, H. (2021). Optical color watermarking based on single-pixel imaging and singular value decomposition in invariant wavelet domain. Optics and Lasers in Engineering, 137, 106376. https://doi.org/10.1016/j.optlaseng.2020.106376
Sheng, T., Zeng, W., Yang, B., & Fu, C. (2023). Adaptive multiple zero-watermarking based on local fast quaternion radial harmonic Fourier moments for color medical images. Biomedical Signal Processing and Control, 86, 105304. https://doi.org/10.1016/j.bspc.2023.105304
Sumantri, J. S. (2011). Watermarking pada citra warna menggunakan teknik SVD-DCT berdasarkan local peak SNR.
Tsui, T. K., Zhang, X. P.., & Androutsos, D. (2008). Color image watermarking using multidimensional Fourier transforms. IEEE Transactions on Information Forensics and Security, 3 (1), 16-28. https://doi.org/10.1109/TIFS.2007.916275
Van Loan, C. (1992). Computational frameworks for the fast Fourier transform. Society for Industrial and Applied Mathematics.
Wang, H., Ma, R., & Niu, P. (2024). Color image watermarking using vector SNCM-HMT. J. Vis. Commun. Image R., 105, 104339. https://doi.org/10.1016/j.jvcir.2024.104339
Zhang, H., Li, Z., Chen, Y., Lu, C., & Yan, P. (2025). Fast image reconstruction method using radial harmonic Fourier moments and its application in digital watermarking. Journal of Franklin Institute, 36, 107391. https://doi.org/10.1016/j.jfranklin.2024.107391
Zhang, M., Ding, W., Li, Y., Sun, J., & Liu, Z. (2023). Color image watermarking based on a fast structure-preserving algorithm of quaternion singular value decomposition. Signal Processing, 208, 108971. https://doi.org/10.1016/j.sigpro.2023.108971
