Polygonal mesh watermarking using Laplacian coordinates

Yang, Ying; Ivrissimtzis, Ioannis

Abstract

We propose a watermarking algorithm for polygonal meshes based on the modification of the Laplacian coordinates. More specifically, we first compute the Laplacian coordinates (x; y; z) of the mesh vertices, then construct the histogram of the lengths of the (x; y; z) vectors, and finally, insert the watermark by altering the shape of that histogram. The watermark extraction is carried out blindly, with no reference to the host model. The proposed method is more robust than several existing high capacity watermarking algorithms. In particular, it is able to resist attacks such as translations, rotations, uniform scaling and vertex reordering, due to the invariance of the histogram of the Laplacian vector lengths under such transformations. Compared to the existing robust watermarking methods, our experiments show that the proposed method can better resist common mesh editing attacks, due to the good behaviour of the Laplacian coordinates under such operations.

Citation

Yang, Y., & Ivrissimtzis, I. (2010). Polygonal mesh watermarking using Laplacian coordinates. Computer Graphics Forum, 29(5), 1585-1593. https://doi.org/10.1111/j.1467-8659.2010.01767.x

• Journal Article Type: Article
• Publication Date: Jul 1, 2010
• Deposit Date: Sep 28, 2010
• Journal: Computer Graphics Forum
• Print ISSN: 0167-7055
• Electronic ISSN: 1467-8659
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 29
• Issue: 5
• Pages: 1585-1593
• DOI: https://doi.org/10.1111/j.1467-8659.2010.01767.x
• Keywords: Triangle mesh, watermarking, Laplacian coordinates.
• Publisher URL: http://www.wiley.com/bw/journal.asp?ref=0167-7055