Abstract
For protecting the digital copyright of color image, a color image watermarking method should have strong robustness and short running-time at same time. To achieve these two goals, an effective color image watermarking method is presented in this paper. Firstly, the element in the first row and first column of the R matrix of QR decomposition is obtained by the presented method in spatial domain. Secondly, the obtained element of R matrix is selected to protect the copyright of color image in spatial domain without the true QR decomposition. Finally, the processes of the presented watermarking technique are performed in spatial domain. In the compared experimentations, the imperceptibility of the presented method is about 40 dB, its average NC is 0.9435, its average running-time is 0.703613 s, its embedding capacity is 0.03125 bpp, and its key space is 2138, which proves the proposed new method has better performances in terms of the robustness and real-time feature.

















Similar content being viewed by others
References
Abraham J, Paul V (2019) An imperceptible spatial domain color image watermarking scheme. Journal of King Saud University-Computer and Information Sciences 31(1):125–133. https://doi.org/10.1016/j.jksuci.2016.12.004
Agilandeeswari L, Ganesan K (2016) A robust color video watermarking scheme based on hybrid embedding techniques. Multimed Tools Appl 75(14):8745–8780. https://doi.org/10.1007/s11042-015-2789-9
Cao X, Fu Z, Sun X (2016) A privacy-preserving outsourcing data storage scheme with fragile digital watermarking-based data auditing. Journal of Electrical and Computer Engineering 4:1–7. https://doi.org/10.1155/2016/3219042
Chen H, Zhu Y (2012) A robust watermarking algorithm based on QR factorization and DCT using quantization index modulation technique. Zhejiang University Science C (Computers & Electronics) 13(8):573–584. https://doi.org/10.1631/jzus.C1100338
Chou CH, Wu TL (2003) Embedding color watermarks in color images. Eurasip Journal on Advances in Signal Processing 2003(1):32–40. https://doi.org/10.1155/S1110865703211227
Golea NEH, Seghir R, Benzid R (2010) A bind RGB color image watermarking based on singular value decomposition, in: IEEE/ACS international conference on computer systems and applications (AICCSA), 1-5. https://doi.org/10.1109/AICCSA.2010.5586967
Golub GH, Van Loan CF (1989) Matrix computations. Johns Hopkins University Press, Baltimore, pp 1–30
Hsu C, Tu S (2020) Enhancing the robustness of image watermarking against cropping attacks with dual watermark. Multimed Tools Appl 79(17–18):11297–11323. https://doi.org/10.1007/s11042-019-08367-6
Jia S (2014) A novel blind color images watermarking based on SVD. Optik-International Journal for Light and Electron Optics 125(12):2868–2874. https://doi.org/10.1016/j.ijleo.2014.01.002
Kahlessenane F, Khaldi A, Kafi MR, Euschi S (2021) A color value differentiation scheme for blind digital image watermarking. Multimed Tools Appl 80(13):19827–19844. https://doi.org/10.1007/s11042-021-10713-6
Kumar S, Singh BK (2021) An improved watermarking scheme for color image using alpha blending. Multimed Tools Appl 80:13975–13999. https://doi.org/10.1007/s11042-020-10397-4
Li X, Fan H (2000) QR factorization based blind channel identification and equalization with second-order statistics. IEEE Transaction on Signal Processing 48(1):60–69. https://doi.org/10.1109/78.815479
Liu R, Tan T (2002) An SVD-based watermarking scheme for protecting rightful ownership. IEEE Transactions on Multimedia 4(1):121–128. https://doi.org/10.1109/6046.985560
Liu X, Han G, Wu J, Shao Z, Coatrieux G, Shu H (2017) Fractional Krawtchouk transform with an application to image watermarking. IEEE Trans Signal Process 65(7):1894–1908. https://doi.org/10.1109/TSP.2017.2652383
Mehta R, Rajpal N, Vishwakarma VP (2016) LWT-QR decomposition based robust and efficient image watermarking scheme using Lagrangian SVR. Multimed Tools Appl 75(7):4129–4150. https://doi.org/10.1007/s11042-015-3084-5
Naderahmadian Y, Hosseini-Khayat S (2014) Fast and robust watermarking in still images based on QR decomposition. Multimed Tools Appl 72(3):2597–2618. https://doi.org/10.1007/s11042-013-1559-9
Rivest RL (1992) The MD5 message digest algorithm. Internet RFC 1321
Roy S, Pal AK (2017) A blind DCT based color watermarking algorithm for embedding multiple watermarks. AEU-International Journal of Electronics and Communications 72:149–161. https://doi.org/10.1016/j.aeue.2016.12.003
Song W, Hou J, Li Z, Huang L (2011) Chaotic system and QR factorization based robust digital image watermarking algorithm. J Cent S Univ Technol 18(1):116–124. https://doi.org/10.1007/s11771-011-0668-8
Su Q (2016) Novel blind colour image watermarking technique using Hessenberg decomposition. IET Image Process 10(11):817–829. https://doi.org/10.1049/iet-ipr.2016.0048
Su Q (2017) Color image watermarking: algorithms and technologies. Walter de Gruyter, Berlin, Germany, pp 1–26
Su Q, Chen B (2017) An improved color image watermarking scheme based on Schur decomposition. Multimed Tools Appl 76(22):24221–24249. https://doi.org/10.1007/s11042-016-4164-x
Su Q, Niu Y, Wang G, Jia S, Yue J (2014) Color image blind watermarking scheme based on QR decomposition. Signal Process 94(1):219–235. https://doi.org/10.1016/j.sigpro.2013.06.025
Su Q, Yuan Z, Liu D (2019) An approximate Schur decomposition-based spatial domain color image watermarking method. IEEE Access 7(1):4358–4370. https://doi.org/10.1109/ACCESS.2018.2888857
University of Granada, Computer Vision Group, CVG-UGR Image Database, Accessed: Sep. 18, 2018. [Online]. http://decsai.ugr.es/cvg/dbimagenes/c512.php
University of Southern California, Signal and Image Processing Institute, USC-SIPI Image Database, Accessed: Sep. 18, 2018. [Online]. http://sipi.usc.edu/database/
Zhang F, Luo T, Jiang G, Yu M, Xu H, Zhou W (2019) A novel robust color image watermarking method using RGB correlations. Multimed Tools Appl 78(14):20133–20155. https://doi.org/10.1007/s11042-019-7326-9
Zhou W, Bovik AC, Sheikh HR, Simoncelli EP (2004) Image quality assessment: from error visibility to structural similarity. IEEE Transaction on Image Processing 13(4):600–612. https://doi.org/10.1109/TIP.2003.819861
Acknowledgements
The work was supported by the National Natural Science Foundations of China (No. 61771231, 61772253, 61873117, 61872170 and 61803253), and the Key Project of Shandong Natural Science Foundation (No. ZR2020KF023). In addition, we would like to express our sincere gratitude to the Editor-in-Chief, the Associate Editor and the anonymous reviewers for their valuable comments and suggestions.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Wang, H., Su, Q. A color image watermarking method combined QR decomposition and spatial domain. Multimed Tools Appl 81, 37895–37916 (2022). https://doi.org/10.1007/s11042-022-13064-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-022-13064-y