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3D Mesh Watermarking Techniques

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Triangle Mesh Watermarking and Steganography

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Abstract

In this chapter, we introduce 3D mesh watermarking techniques. These techniques mainly include traditional 3D mesh watermarking, deep learning based 3D mesh watermarking, 3D mesh watermarking against 3D print–scan attacks, and 3D mesh watermarking on the G-code file used in the 3D printing devices.

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References

  1. Zhou, Hang and Chen, Kejiang and Zhang, Weiming and Yao, Yuanzhi and Yu, Nenghai, “Distortion design for secure adaptive 3-d mesh steganography”, IEEE Transactions on Multimedia, vol. 21, no. 6, pp.1384–1398, 2018, IEEE.

    Google Scholar 

  2. Ohbuchi, Ryutarou and Masuda, Hiroshi and Aono, Masaki, “Watermaking three-dimensional polygonal models”,Proceedings of the fifth ACM international conference on Multimedia, pp.261–272, 1997.

    Google Scholar 

  3. Wyvill, Brian and Guy, Andrew and Galin, Eric, “Extending the CSG tree. warping, blending and boolean operations in an implicit surface modeling system”,Computer Graphics Forum,Online Library, vol. 18, no. 2, pp.149–158, 1999.

    Google Scholar 

  4. Benedens, Oliver, “Geometry-based watermarking of 3D models”, 1999, FRAUNHOFER INST FOR COMPUTER GRAPHICS DARMSTADT (GERMANY) VIRTUAL REALITY ….

    Google Scholar 

  5. Wagner, Michael G, “Robust watermarking of polygonal meshes”, Proceedings Geometric Modeling and Processing 2000. Theory and Applications, pp.201–208, 2000, IEEE.

    Google Scholar 

  6. Benedens, Oliver, “Robust watermarking and affine registration of 3d meshes”,International Workshop on Information Hiding, pp.177–195, 2002, Springer.

    Google Scholar 

  7. Zafeiriou, Stefanos and Tefas, Anastasios and Pitas, Ioannis, “Blind robust watermarking schemes for copyright protection of 3D mesh objects”, IEEE Transactions on Visualization and Computer Graphics, vol. 11, no. 5, pp. 596–607, 2005, IEEE.

    Google Scholar 

  8. Wang, Wei-Bo and Zheng, Guo-Qin and Yong, Jun-Hai and Gu, He-Jin, “A numerically stable fragile watermarking scheme for authenticating 3D models”, Computer-Aided Design, vol. 40, no. 5, pp.634–645, 2008, Elsevier.

    Google Scholar 

  9. Ai, QS and Liu, Q and Zhou, ZD and Yang, La and Xie, SQ, “A new digital watermarking scheme for 3D triangular mesh models”, Signal Processing, vol. 89, no. 11, pp. 2159–2170, 2009, Elsevier.

    Google Scholar 

  10. Wang, Kai and Lavoué, Guillaume and Denis, Florence and Baskurt, Atilla, “Robust and blind mesh watermarking based on volume moments”, Computers & Graphics, vol. 35, no. 1, pp.1–19, 2011,Elsevier.

    Google Scholar 

  11. Luo, Ming and Bors, Adrian G, “Surface-preserving robust watermarking of 3-D shapes”, IEEE Transactions on Image Processing, vol. 20, no. 10, pp.2813–2826, 2011, IEEE.

    Google Scholar 

  12. Singh, Law Kumar and Chaudhry, Deepak and Varshney, Gopalji, “A novel approach of 3d object watermarking algorithm using vertex normal”, International Journal of Computer Applications, vol. 60, no. 5, 2012, Citeseer.

    Google Scholar 

  13. Wu, Hao-Tian and Cheung, Yiu-Ming, “A fragile watermarking scheme for 3D meshes”,Proceedings of the 7th workshop on Multimedia and security, pp.117–124,2005.

    Google Scholar 

  14. Molaei, Amir Masoud and Ebrahimnezhad, Hossein and Sedaaghi, Mohammad Hossein, “Robust and blind 3D mesh watermarking in spatial domain based on faces categorization and sorting”, 3D Research, vol. 7, no. 2, pp. 1–18, 2016, Springer.

    Google Scholar 

  15. Yang, Ying and Pintus, Ruggero and Rushmeier, Holly and Ivrissimtzis, Ioannis, “A 3D steganalytic algorithm and steganalysis-resistant watermarking”, IEEE transactions on visualization and computer graphics, vol. 23, no. 2, pp.1002–1013, 2016, IEEE.

    Google Scholar 

  16. Bhattacharyya, Anil, “On a measure of divergence between two multinomial populations”, Sankhyā: the Indian journal of statistics, pp. 401–406, 1946, JSTOR.

    Google Scholar 

  17. Cho, Jae-Won and Prost, Rmy and Jung, Ho-Youl, “An oblivious watermarking for 3-D polygonal meshes using distribution of vertex norms”, IEEE Transactions on Signal Processing, vol. 55, no. 1, pp. 142–155, 2006, IEEE.

    Google Scholar 

  18. Bors, Adrian G and Luo, Ming, “Optimized 3D watermarking for minimal surface distortion”,IEEE Transactions on Image Processing, vol. 22, no. 5, pp.1822–1835, 2012, IEEE.

    Google Scholar 

  19. Levenberg, Kenneth, “A method for the solution of certain non-linear problems in least squares”, Quarterly of applied mathematics, vol. 2, no. 2, pp.164–168, 1944.

    Article  MATH  Google Scholar 

  20. Marquardt, Donald W, “An algorithm for least-squares estimation of nonlinear parameters”, Journal of the society for Industrial and Applied Mathematics, vol. 11, no. 2, pp.431–441, 1963, SIAM.

    Google Scholar 

  21. Rolland-Neviere, Xavier and Doërr, Gwenaël and Alliez, Pierre, “Triangle surface mesh watermarking based on a constrained optimization framework”, IEEE transactions on information forensics and security, vol. 9, no. 9, pp.1491–1501, 2014, IEEE.

    Google Scholar 

  22. Cayre, François and Rondao-Alface, Patrice and Schmitt, Francis and Macq, Benoıt and Maıtre, Henri, “Application of spectral decomposition to compression and watermarking of 3D triangle mesh geometry”, Signal Processing: Image Communication, vol. 18, no. 4, pp.309–319, 2008, Elsevier.

    Google Scholar 

  23. Kai, Wang and Guillaume, Lavoue and Florence, Denis and Atilla, Baskurt, “Hierarchical watermarking of semiregular meshes based on wavelet transform”, IEEE Transactions on Information Forensics and Security, vol. 3, no. 4, pp.620–634, 2008, IEEE.

    Google Scholar 

  24. Ryutarou, Ohbuchi and Hiroshi, Masuda, “Managing CAD data as a multimedia data type using digital watermarking”, Proc. IFIP TC5 WG5.2 Workshop Knowledge Intensive CAD to Knowledge Intensive Engineering, pp.103–116, 2001, Springer.

    Google Scholar 

  25. Zaid, A Ouled and Hachani, Meha and Puech, William, “Wavelet-based high-capacity watermarking of 3-D irregular meshes”, Multimedia Tools and Applications, vol. 74, no. 15, pp.5897–5915, 2015, Springer.

    Google Scholar 

  26. Hamidi, Mohamed and Haziti, El Mohamed and Cherifi, Hocine and Aboutajdine, Driss, “A robust blind 3-d mesh watermarking based on wavelet transform for copyright protection”, International Conference on Advanced Technologies for Signal and Image Processing, pp.1–6, 2017, IEEE.

    Google Scholar 

  27. Liu, Yang and Prabhakaran, Balakrishnan and Guo, Xiaohu, “Spectral Watermarking for Parameterized Surfaces”, IEEE Transactions on Information Forensics and Security, vol. 7, no. 5, pp.1459–1471, 2012, IEEE.

    Google Scholar 

  28. Liu, Yang and Prabhakaran, Balakrishnan and Guo, Xiaohu, “A robust spectral approach for blind watermarking of manifold surfaces,” ACM Workshop on Multimedia and Security, pp.43–52, 2008, ACM.

    Google Scholar 

  29. Medimegh, Nassima and Belaid, Samir and Atri, Mohamed and Werghi, Naoufel, “3D mesh watermarking using salient points”, Multimedia Tools and Applications, vol. 77, no. 24, pp.32287–32309, 2018, Springer.

    Google Scholar 

  30. Narendra, Modigari and Valarmathi, ML and Anbarasi, L Jani, “Optimization of 3D Triangular Mesh Watermarking Using ACO-Weber’s Law”, KSII Transactions on Internet and Information Systems (TIIS), vol. 14, no. 10, pp.4042–4059, 2020, Korean Society for Internet Information.

    Google Scholar 

  31. Wang, F., Zhou, H., Fang, H., Zhang, W. & Yu, N. Deep 3D mesh watermarking with self-adaptive robustness. Cybersecurity. 5, 1–14 (2022)

    Article  Google Scholar 

  32. Feng, Wang and Hang, Zhou and Weiming, Zhang and Nenghai, Yu, “Neural Watermarking for 3D Morphable Models”, International Conference on Artificial Intelligence and Security (ICAIS), Communications in Computer and Information Science, Springer. vol. 1588, 2022.

    Google Scholar 

  33. Ranjan, Anurag and Bolkart, Timo and Sanyal, Soubhik and Black, Michael J, “Generating 3D faces using convolutional mesh autoencoders”, Proceedings of the European Conference on Computer Vision (ECCV), pp.704–720, 2018.

    Google Scholar 

  34. Szegedy, Christian and Zaremba, Wojciech and Sutskever, Ilya and Bruna, Joan and Erhan, Dumitru and Goodfellow, Ian and Fergus, Rob, “Intriguing properties of neural networks”, International Conference on Learning Representations (ICLR), 2014.

    Google Scholar 

  35. Goodfellow, Ian J and Shlens, Jonathon and Szegedy, Christian, “Explaining and harnessing adversarial examples”, International Conference on Learning Representations (ICLR), 2014.

    Google Scholar 

  36. Luo, Xiyang and Zhan, Ruohan and Chang, Huiwen and Yang, Feng and Milanfar, Peyman, “Distortion agnostic deep watermarking”, Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), pp.13548–13557, 2020.

    Google Scholar 

  37. Feng, Wang and Hang, Zhou and Han, Fang and Weiming, Zhang and Nenghai, Yu, “Deep 3D Mesh Watermarking with Self-Adaptive Robustness”, arXiv, 2021.

    Google Scholar 

  38. Romero, Javier and Tzionas, Dimitrios and Black, Michael J, “Embodied hands: modeling and capturing hands and bodies together”, ACM Transactions on Graphics (TOG), vol. 36, no. 6, pp.1–17, 2017, ACM New York, NY, USA.

    Google Scholar 

  39. Kaiming, He and Xiangyu, Zhang and Shaoqing, Ren and Jian, Sun, “Deep residual learning for image recognition”, Proceedings of the IEEE conference on computer vision and pattern recognition (CVPR), pp.770–778, 2016.

    Google Scholar 

  40. Taubin, Gabriel, “Geometric Signal Processing on Polygonal Meshes”, 21st Annual Conference of the European Association for Computer Graphics, Eurographics, 2000.

    Google Scholar 

  41. Mariani, Giorgio and Cosmo, Luca and Bronstein, Alexander M and Rodolà, Emanuele, “Generating Adversarial Surfaces via Band-Limited Perturbations”, Computer Graphics Forum, vol. 39, no. 5, pp.253–264, 2020.

    Article  Google Scholar 

  42. Fakhri, Torkhani and Kai, Wang and Jean-Marc, Chassery, “A Curvature Tensor Distance for Mesh Visual Quality Assessment”, Computer Vision and Graphics - International Conference, vol. 7594, pp.253–263, 2012.

    Google Scholar 

  43. Nayar, S., Krishnan, G., Grossberg, M. & Raskar, R. Fast Separation of Direct and Global Components of a Scene Using High Frequency Illumination. ACM Trans. Graph.. 25, 935-944 (2006,7), https://doi.org/10.1145/1141911.1141977

  44. Li, D., Nair, A., Nayar, S. & Zheng, C. AirCode: Unobtrusive Physical Tags for Digital Fabrication. Proceedings Of The 30th Annual ACM Symposium On User Interface Software And Technology. pp. 449–460 (2017), https://doi.org/10.1145/3126594.3126635

  45. Chen, Y., Ma, Z., Zhou, H. & Zhang, W. 3D Print-Scan Resilient Localized Mesh Watermarking. 2021 IEEE International Workshop On Information Forensics And Security (WIFS). pp. 1–6 (2021)

    Google Scholar 

  46. Mahdian, B. & Saic, S. Blind Authentication Using Periodic Properties of Interpolation. IEEE Transactions On Information Forensics And Security. 3, 529–538 (2008)

    Article  Google Scholar 

  47. Hou, J., Kim, D. & Lee, H. Blind 3D Mesh Watermarking for 3D Printed Model by Analyzing Layering Artifact. IEEE Transactions On Information Forensics And Security. 12, 2712–2725 (2017)

    Article  Google Scholar 

  48. Delmotte, A., Tanaka, K., Kubo, H., Funatomi, T. & Mukaigawa, Y. Blind Watermarking for 3-D Printed Objects by Locally Modifying Layer Thickness. IEEE Transactions On Multimedia. 22, 2780–2791 (2020)

    Article  Google Scholar 

  49. Maia, H., Li, D., Yang, Y. & Zheng, C. LayerCode: Optical Barcodes for 3D Printed Shapes. ACM Trans. Graph.. 38 (2019,7), https://doi.org/10.1145/3306346.3322960

  50. Yamazaki, S., Kagami, S. & Mochimaru, M. Extracting Watermark from 3D Prints. 2014 22nd International Conference On Pattern Recognition. pp. 4576–4581 (2014)

    Google Scholar 

  51. Ohbuchi, R., Takahashi, S., Miyazawa, T. & Mukaiyama, A. Watermarking 3D Polygonal Meshes in the Mesh Spectral Domain. Proceedings Of Graphics Interface 2001. pp. 9–17 (2001)

    Google Scholar 

  52. Praun, E., Hoppe, H. & Finkelstein, A. Robust Mesh Watermarking. Proceedings Of The 26th Annual Conference On Computer Graphics And Interactive Techniques. pp. 49–56 (1999), https://doi.org/10.1145/311535.311540

  53. Levoy, M., Pulli, K., Curless, B., Rusinkiewicz, S., Koller, D., Pereira, L., Ginzton, M., Anderson, S., Davis, J., Ginsberg, J., Shade, J. & Fulk, D. The Digital Michelangelo Project: 3D Scanning of Large Statues. Proceedings Of The 27th Annual Conference On Computer Graphics And Interactive Techniques. pp. 131–144 (2000), https://doi.org/10.1145/344779.344849

  54. Béla Bollobás, A. Modern Graph Theory. Springer Science+Business Media New York 1998. XIV, 394, https://doi.org/10.1007/978-1-4612-0619-4

  55. Besl, P. & McKay, N. A method for registration of 3-D shapes. IEEE Transactions On Pattern Analysis And Machine Intelligence. 14, 239–256 (1992)

    Article  Google Scholar 

  56. Okada, A., Silapasuphakornwong, P., Suzuki, M., Torii, H., Takashima, Y. & Uehira, K. Non-destructively reading out information embedded inside real objects by using far-infrared light. Applications Of Digital Image Processing XXXVIII. 9599 pp. 849–855 (2015), https://doi.org/10.1117/12.2189486

    Google Scholar 

  57. Suzuki, M., Matumoto, T., Takashima, Y., Torii, H. & Uehira, K. Information Hiding Inside 3-D Printed Objects by Forming High Reflectance Projections. Proceedings Of The International Conference On Video And Image Processing. pp. 146–150 (2017), https://doi.org/10.1145/3177404.3177455

  58. Delmotte, A., Tanaka, K., Kubo, H., Funatomi, T. & Mukaigawa, Y. Blind Watermarking for 3-D Printed Objects using Surface Norm Distribution. 2018 Joint 7th International Conference On Informatics, Electronics & Vision (ICIEV) And 2018 2nd International Conference On Imaging, Vision & Pattern Recognition (icIVPR). pp. 282–288 (2018)

    Google Scholar 

  59. Yamamoto, H. & Sano, K. A Watermarking Method for Embedding into the External Shapes of Objects. 2018 International Symposium On Information Theory And Its Applications (ISITA). pp. 321–325 (2018)

    Google Scholar 

  60. ElSayed, K., Dachowicz, A. & Panchal, J. Information Embedding in Additive Manufacturing through Printing Speed Control. Proceedings Of The 2021 Workshop On Additive Manufacturing (3D Printing) Security. pp. 31–37 (2021), https://doi.org/10.1145/3462223.3485623

  61. Pizer, S., Amburn, E., Austin, J., Cromartie, R., Geselowitz, A., Greer, T., Ter Haar Romeny, B., Zimmerman, J. & Zuiderveld, K. Adaptive histogram equalization and its variations. Computer Vision, Graphics, And Image Processing. 39, 355–368 (1987), https://www.sciencedirect.com/science/article/pii/S0734189X8780186X

    Article  Google Scholar 

  62. Dogan, M., Taka, A., Lu, M., Zhu, Y., Kumar, A., Gupta, A. & Mueller, S. InfraredTags: Embedding Invisible AR Markers and Barcodes Using Low-Cost, Infrared-Based 3D Printing and Imaging Tools. Proceedings Of The 2022 CHI Conference On Human Factors In Computing Systems. (2022), https://doi.org/10.1145/3491102.3501951

  63. Dogan, M., Faruqi, F., Churchill, A., Friedman, K., Cheng, L., Subramanian, S. & Mueller, S. G-ID: Identifying 3D Prints Using Slicing Parameters. Proceedings Of The 2020 CHI Conference On Human Factors In Computing Systems. pp. 1–13 (2020), https://doi.org/10.1145/3313831.3376202

  64. Willis, K. & Wilson, A. InfraStructs: Fabricating Information inside Physical Objects for Imaging in the Terahertz Region. ACM Trans. Graph.. 32 (2013,7), https://doi.org/10.1145/2461912.2461936

  65. Auston, D. & Cheung, K. Coherent time-domain far-infrared spectroscopy. Journal Of The Optical Society Of America B-optical Physics. 2 pp. 606–612 (1985)

    Article  Google Scholar 

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Authors and Affiliations

  1. Computer Science Department, Simon Fraser University, Burnaby, BC, Canada

    Hang Zhou

  2. School of Cyberspace Science and Technology, University of Science and Technology of China, Hefei, China

    Kejiang Chen

  3. School of Information Science and Technology, University of Science and Technology of China, Hefei, China

    Zehua Ma

  4. University of Science and Technology of China, Hefei, China

    Feng Wang

  5. School of Information Science and Technology, University of Science and Technology of China, Hefei, China

    Weiming Zhang

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  1. Hang Zhou
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Zhou, H., Chen, K., Ma, Z., Wang, F., Zhang, W. (2023). 3D Mesh Watermarking Techniques. In: Triangle Mesh Watermarking and Steganography. Springer, Singapore. https://doi.org/10.1007/978-981-19-7720-6_3

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  • DOI: https://doi.org/10.1007/978-981-19-7720-6_3

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