Advertisement

A Novel Robust Statistical Watermarking of 3D Meshes

  • Nassima MedimeghEmail author
  • Samir BelaidEmail author
  • Mohamed AtriEmail author
  • Naoufel WerghiEmail author
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 684)

Abstract

In this paper, we present a novel robust blind 3D mesh watermarking approach. We embed signature bits into the vertex norms distribution. At first, the robust source locations are extracted by using a salient point detector, based on the Auto Diffusion Function (ADF). Afterwards, the mesh is segmented into different regions according to the detected salient points. Then, the same watermark bits are embedded statistically into each region. The experimental results show the robustness of our method against cropping and other common attacks. Due to the stability of salient points, we can retrieve the watermarked region and extract the watermark. In addition, the performance of our method is also demonstrated on the minimal surface distortion in the embedding process.

Keywords

3D watermarking Salient points Fast marching method Statistical method 

References

  1. 1.
    Ohbuchi, R., Masuda, H., Aono, M.: Watermarking three-dimensional polygonal models. In: Proceedings of the ACM Multimedia, pp. 261–272 (1997)Google Scholar
  2. 2.
    Medimegh, N., Belaid, S., Werghi, N.: A survey of the 3D triangular mesh watermarking techniques. Int. J. Multimedia 1(1) (2015)Google Scholar
  3. 3.
    Zafeiriou, S., Tefas, A., Pitas, I.: Blind robust watermarking schemes for copyright protection of 3D mesh objects. IEEE Trans. Vis. Comput. Graph. 11(5), 596–607 (2005)CrossRefGoogle Scholar
  4. 4.
    Cho, J.W., Prost, R., Jung, H.Y.: An oblivious watermarking for 3-D polygonal meshes using distribution of vertex norms. IEEE Trans. Sig. Process. 55, 142–155 (2007)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Hu, R., Alface, P.R., Macq, B.: Constrained optimisation of 3D polygonal mesh watermarking by quadratic programming. In: IEEE International Conference on Acoustics, Speech and Signal Processing, pp. 1501–1504 (2009)Google Scholar
  6. 6.
    Alface, P.R., Macq, B., Cayre, F.: Blind and robust watermarking of 3D models: how to withstand the cropping attack? In: Image Processing, ICIP 2007, pp. 465–468 (2007)Google Scholar
  7. 7.
    Luo, M., Bors, A.G.: Shape watermarking based on minimizing the quadric error metric. In: IEEE International Conference on Shape Modeling and Applications (SMI) (2009)Google Scholar
  8. 8.
    Luo, M., Bors, A.G.: Surface-preserving robust watermarking of 3-D shapes. IEEE Trans. Image Process. 20(10), 2813–2826 (2011)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Bors, A.G., Luo, M.: Minimal surface distortion function for optimizing 3D watermarking. In: IEEE Transactions on Image Processing, pp. 1822–1835 (2013)Google Scholar
  10. 10.
    Nakazawa, S., Kasahara, S., Takahashi, S.: A visually-enhanced approach to watermarking 3D models. In: International Conference on Intelligent Information Hiding and Multimedia Signal Processing (2010)Google Scholar
  11. 11.
    Vallet, B., Levy, B.: Spectral Geometry Processing with Manifold Harmonics, Computer Graphics Forum, vol. 27, pp. 251–260. Wiley Online Library (2008)Google Scholar
  12. 12.
    Mohamed, H.H., Belaid, S.: Algorithm BOSS (Bag-Of-Salient local Spectrums) for non-rigid and partial 3D object retrieval. Neurocomputing. doi: 10.1016/j.neucom.2015.05.045
  13. 13.
    Gbal, K., Brentzen, J.A., Aans, H., Larsen, R.: Shape analysis using the auto diffusion function. In: Computer Graphics Forum, pp. 1405–1413 (2009)Google Scholar
  14. 14.
    Liu, Y.J., Xu, C.X., He, Y.: Constructing Intrinsic Delaunay Triangulations from the Dual of Geodesic Voronoi Diagrams arxiv:1505.05590[cs.CG]
  15. 15.
    Cignoni, P., Rocchini, C., Scopigno, R.: Metro: measuring error on simplied surfaces. In: Computer Graphic Forum, vol. 17, pp. 167–174 (1998)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.University of MonastirMonastirTunisia
  2. 2.Khalifa UniversitySharjahUAE

Personalised recommendations