Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Analyses of error correction strategies for typical communication channels in watermarking
Signal Processing - Special section on information theoretic aspects of digital watermarking
Geometry-Based Watermarking of 3D Models
IEEE Computer Graphics and Applications
Watermarking 3D polygonal meshes in the mesh spectral domain
GRIN'01 No description on Graphics interface 2001
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Optimization methods for scattered data approximation with subdivision surfaces
Graphical Models - Solid modeling theory and applications
Data hiding on 3-D triangle meshes
IEEE Transactions on Signal Processing
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This paper presents a robust watermarking scheme for 3D subdivision surfaces. Our proposal is based on a frequency domain decomposition of the subdivision control mesh and on spectral coefficients modulation. The compactness of the cover object (the coarse control mesh) has led us to optimize the trade-off between watermarking redundancy (which insures robustness) and imperceptibility by introducing two contributions: (1) Spectral coefficients are perturbed according to a new modulation scheme analyzing the spectrum shape and (2) the redundancy is optimized by using error correcting codes. Since the watermarked surface can be attacked in a subdivided version, we have introduced a so-called synchronization algorithm to retrieve the control polyhedron, starting from a subdivided, attacked version. Through the experiments, we have demonstrated the high robustness of our scheme against both geometry and connectivity alterations.