Skip to main content

Novel 3D Model Zero-Watermarking Using Geometrical and Statistical Features

  • Conference paper
  • First Online:
Image and Graphics (ICIG 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14357))

Included in the following conference series:

  • 667 Accesses

Abstract

In order to prevent illegal dissemination and misappropriation of 3D models, this paper presents a novel 3D model zero-watermarking method using geometrical and statistical features. It firstly obtains some feature vertices according to an adaptive sampling scheme based on the Gaussian curvature of an input 3D model. Such vertices can describe the basic shape of the model. And then, it uses FPFH (fast point feature histograms) to generate a multidimensional histogram descriptor representing the statistical characteristics of the neighborhood of the feature vertices. After that, a binary watermark information can be generated to achieve the aim of copyright protection for the input 3D model. Experimental results show that the proposed method has good robustness against various attacks including similarity transformation, element reordering, noise, simplification, smoothing, cropping attacks, etc. Furthermore, it is very competitive with the state-of-the-art watermarking methods for 3D models.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Ohbuchi, R., Masuda, H., Aono, M.: Watermarking three-dimensional polygonal models. In: 1997 ACM International Conference on Multimedia, Seattle, WA, USA, pp. 261–272 (1997)

    Google Scholar 

  2. Choi, H.Y., Jang, H.U., Son, J., Lee, H.K.: Blind 3D mesh watermarking based on cropping resilient synchronization. Multimedia Tools Appl. 76(24), 26695–26721 (2017)

    Article  Google Scholar 

  3. Delmotte, A., Tanaka, K., Kubo, H., Funatomi, T., Mukaigawa, Y.: Blind watermarking for 3-D printed objects by locally modifying layer thickness. IEEE Trans. Multimedia 22(11), 2780–2791 (2019)

    Article  Google Scholar 

  4. Sayahi, I., Elkefi, A., Amar, C.B.: Crypto-watermarking system for safe transmission of 3D multiresolution meshes. Multimedia Tools Appl. 78(10), 13877–13903 (2019)

    Article  Google Scholar 

  5. Peng, F., Long, B., Long, M.: A general region nesting-based semi-fragile reversible watermarking for authenticating 3D mesh models. IEEE Trans. Circ. Syst. Video Technol. 31(11), 4538–4553 (2021)

    Article  Google Scholar 

  6. Medimegh, N., Belaid, S., Atri. M., Werghi, N.: 3D mesh watermarking using salient points. Multimedia Tools Appl. 77(24), 32287–32309 (2018)

    Google Scholar 

  7. Narendra, M., Valarmathi, M.L., Anbarasi, L.J.: Optimization of 3D triangular mesh water-marking using ACO-Weber’s law. KSII Trans. Internet Inf. Syst. (TIIS) 14(10), 4042–4059 (2020)

    Google Scholar 

  8. Lu, Z., Guo, J., Xiao, J., Wang, Y., Zhang, X., Yan, D.M.: Extracting cycle-aware feature curve networks from 3D models. Comput. Aided Des. 131, 102949 (2021)

    Article  MathSciNet  Google Scholar 

  9. Kashida, N., Hasegawa, K., Uto, T.: 3-D mesh watermarking based on optimized multiple histograms. In: 2020 35th International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC), pp. 363–366. IEEE (2020)

    Google Scholar 

  10. Zhang, J.W., Pan, G., Jiang, C., Zhou, X.Z.: A locatable zero watermarking scheme and visualization for 3D mesh models. In: International Conference on Computer Graphics, pp. 510–515. IEEE Computer Society (2009)

    Google Scholar 

  11. Wang, X., Zhan, Y.: Robust zero watermarking scheme for 3D point model. Comput. Appl. Eng. Educ. 47(28), 7–11 (2011)

    Google Scholar 

  12. Su, C., Shen, X.: Octree-based robust watermarking for 3D model. J. Multimed. 6(1), 83–90 (2011)

    Google Scholar 

  13. Cui, C., Ni, R., Zhao, Y.: Robust zero watermarking for 3D triangular mesh models based on spherical integral invariants. In: Digital Forensics and Watermarking: 16th International Workshop, IWDW 2017, Magdeburg, Germany, pp. 318–330 (2017)

    Google Scholar 

  14. Lee, J.S., Liu, C., Chen, Y.C., Hung, W.C., Li, B.: Robust 3D mesh zero-watermarking based on spherical coordinate and skewness measurement. Multimedia Tools Appl. 80(17), 1–16 (2021)

    Article  Google Scholar 

  15. Liu, G., Wang, Q., Wu, L., Pan, R., Wan, B., Tian, Y.: Zero-watermarking method for resisting rotation attack in 3D models. Neurocomputing 421, 39–50 (2021)

    Article  Google Scholar 

  16. Wang, X., Zhan, Y.: A zero-watermarking scheme for three-dimensional mesh models based on multi-features. Multimedia Tools Appl. 78(19), 27001–27028 (2019)

    Article  Google Scholar 

  17. Rusu, R.B., Martoh, Z.C, Blodow, N., Beetz, M.: Persistent point feature histograms for 3D point clouds. In: Proceedings of the 10th International Conference on Intelligent Autonomous Systems (IAS-10), Baden-Baden, Germany, pp. 119–128 (2008)

    Google Scholar 

  18. Rusu, R.B., Blodow, N., Beetz, M.: Fast point feature histograms (FPFH) for 3D registration. In: 2009 IEEE International Conference on Robotics and Automation, pp. 3212–3217. IEEE (2009)

    Google Scholar 

  19. Gojcic, Z., Zhou, C.F., Wegner, J.D., Wieser, A.: The perfect match: 3D point cloud matching with smoothed densities. In: 16 Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 5545–5554 (2019)

    Google Scholar 

  20. Wang, K., Lavoue, G., Denis, F., Baskurt, A., He, X.Y.: A benchmark for 3D mesh watermarking. In: 2010 Shape Modeling International Conference, pp. 231–235. IEEE (2010)

    Google Scholar 

Download references

Acknowledgements

We would like to thank the anonymous reviewers for their helpful comments. This work is supported by Natural Science Foundation of Jilin Province in China (No. 20210101472JC).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qi Xie .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Li, H., Hu, J., Wang, X., Xie, Q. (2023). Novel 3D Model Zero-Watermarking Using Geometrical and Statistical Features. In: Lu, H., et al. Image and Graphics . ICIG 2023. Lecture Notes in Computer Science, vol 14357. Springer, Cham. https://doi.org/10.1007/978-3-031-46311-2_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-46311-2_23

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-46310-5

  • Online ISBN: 978-3-031-46311-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics