Journal of Applied Sciences ›› 2025, Vol. 43 ›› Issue (3): 370-386.doi: 10.3969/j.issn.0255-8297.2025.03.002

• Digital Media Forensics and Security • Previous Articles    

Robust Watermarking Algorithm Guided by Invisibility Under Mesh Spectral Coefficients

WU Xiao1,3, HUANG Ying2, SONG Chunhua1, GUAN Hu3, NIU Baoning1   

  1. 1. College of Computer Science and Technology (College of Data Science), Taiyuan University of Technology, Jinzhong 030600, Shanxi, China;
    2. College of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    3. Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2024-11-12 Published:2025-06-23

Abstract: In the field of copyright protection, mesh watermarking is a key technology for protecting 3D models from malicious attacks during transmission. However, existing watermarking algorithms for 3D meshes often fail to effectively connect the spatial and frequency domains and the setting rule of watermark embedding strength is not clear enough. To solve this problem, we propose a robust mesh watermarking algorithm guided by invisibility (RWGI). Taking the Laplacian transform of a mesh as an example, we establish, for the first time during the watermark embedding process, a model that characterizes the relationship between the spatial-domain invisibility evaluation index and the spectraldomain embedding strength. In this way, the watermark embedding can be adaptively guided by the invisibility index, ensuring the quantification of the watermark embedding strength on demand. Additionally, we design a spectral coefficient optimization strategy based on absolute value, along with a simple yet efficient watermarking segmentation algorithm. Experimental results show that the proposed algorithm achieves strong invisibility, robustness against common attacks, and adaptive control of watermark embedding intensity with respect to model scale.

Key words: 3D copyright protection, invisibility, mesh spectral watermark, mesh Laplace transform

CLC Number: